Examples with solutions for Converting Decimal Fractions to Simple Fractions and Mixed Numbers: Convert a decimal to a fraction with 100 as its denominator

Exercise #1

Convert into fraction form:

0.04= 0.04=

Video Solution

Step-by-Step Solution

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

Let's write the fraction in the following way:

004100 \frac{004}{100}

We'll then remove the unnecessary zeros as follows:

4100 \frac{4}{100}

Answer

4100 \frac{4}{100}

Exercise #2

Convert into fraction form:

0.06= 0.06=

Video Solution

Step-by-Step Solution

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

We'll write the fraction like this:

006100 \frac{006}{100}

We'll then remove the unnecessary zeros as follows:

6100 \frac{6}{100}

Answer

6100 \frac{6}{100}

Exercise #3

Convert into fraction form:

0.33= 0.33=

Video Solution

Step-by-Step Solution

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

We'll write the fraction in the following way:

033100 \frac{033}{100}

We'll then proceed to remove the unnecessary zeros as follows:

33100 \frac{33}{100}

Answer

33100 \frac{33}{100}

Exercise #4

Convert into fraction form:

0.01= 0.01=

Video Solution

Step-by-Step Solution

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

Let's write the fraction in the following way:

001100 \frac{001}{100}

We'll then remove the unnecessary zeros as follows:

1100 \frac{1}{100}

Answer

1100 \frac{1}{100}

Exercise #5

Convert into fraction form:

0.02= 0.02=

Video Solution

Step-by-Step Solution

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

We will write the fraction in the following way:

002100 \frac{002}{100}

We will then remove the unnecessary zeros as follows:

2100 \frac{2}{100}

Answer

2100 \frac{2}{100}

Exercise #6

Convert into fraction form:

0.09= 0.09=

Video Solution

Step-by-Step Solution

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

Let's write the fraction in the following way:

009100 \frac{009}{100}

We'll then remove the unnecessary zeros as follows:

9100 \frac{9}{100}

Answer

9100 \frac{9}{100}

Exercise #7

Convert into fraction form:

0.17= 0.17=

Video Solution

Step-by-Step Solution

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

Let's write the fraction in the following way:

017100 \frac{017}{100}

Finally we'll remove the unnecessary zeros as follows:

17100 \frac{17}{100}

Answer

17100 \frac{17}{100}

Exercise #8

Convert into fraction form:

0.65= 0.65=

Video Solution

Step-by-Step Solution

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

We will write the fraction as follows:

065100 \frac{065}{100}

Finally We'll remove the unnecessary zeros as follows:

65100 \frac{65}{100}

Answer

65100 \frac{65}{100}

Exercise #9

Convert into fraction form:

0.91= 0.91=

Video Solution

Step-by-Step Solution

Note where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

Let's write the fraction in the following way:

091100 \frac{091}{100}

Finally let's remove the unnecessary zeros as follows:

91100 \frac{91}{100}

Answer

91100 \frac{91}{100}

Exercise #10

Convert into fraction form:

0.11= 0.11=

Video Solution

Step-by-Step Solution

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

Let's write the fraction in the following way:

011100 \frac{011}{100}

Finally we will remove the unnecessary zeros as follows:

11100 \frac{11}{100}

Answer

11100 \frac{11}{100}

Exercise #11

Convert into fraction form:

0.23= 0.23=

Video Solution

Step-by-Step Solution

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

Let's write the fraction in the following way:

023100 \frac{023}{100}

Let's then proceed to remove the unnecessary zeros as follows:

23100 \frac{23}{100}

Answer

23100 \frac{23}{100}

Exercise #12

Convert into fraction form:

0.55= 0.55=

Video Solution

Step-by-Step Solution

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

Let's write the fraction in the following way:

055100 \frac{055}{100}

We'll then remove the unnecessary zeros as follows:

55100 \frac{55}{100}

Answer

55100 \frac{55}{100}

Exercise #13

Convert into fraction form:

0.06= 0.06=

Video Solution

Step-by-Step Solution

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

We will write the fraction in the following way:

006100 \frac{006}{100}

We will then proceed to remove the unnecessary zeros and obtain the following:

6100 \frac{6}{100}

Answer

6100 \frac{6}{100}

Exercise #14

Convert into fraction form:

0.38= 0.38=

Video Solution

Step-by-Step Solution

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

Let's write the fraction in the following way:

038100 \frac{038}{100}

We'll then remove the unnecessary zeros as follows:

38100 \frac{38}{100}

Answer

38100 \frac{38}{100}

Exercise #15

1.11= 1.11=

Video Solution

Step-by-Step Solution

To solve the problem of converting 1.11 1.11 to a mixed number with a fraction, follow these steps:

  • Step 1: Identify the whole number and the decimal part in 1.11 1.11 . The whole number is 1 and the decimal part is 0.11.
  • Step 2: Convert the decimal part 0.11 0.11 into a fraction. Since 0.11 0.11 represents eleven hundredths, write it as 11100 \frac{11}{100} .
  • Step 3: Combine the whole number and the fraction to form the mixed number. The result is 111100 1 \frac{11}{100} .

Therefore, the solution to the problem is 111100 1\frac{11}{100} .

Answer

111100 1\frac{11}{100}

Exercise #16

2.07= 2.07=

Video Solution

Step-by-Step Solution

To convert the decimal number 2.072.07 into a fraction or mixed number, we follow these steps:

  • Step 1: Identify the whole number part and the decimal part.
    Here, 2.072.07 has a whole number part of 22 and a decimal part of 0.070.07.
  • Step 2: Convert the decimal part 0.070.07 into a fraction.
    Since 0.070.07 is seventy hundredths, it can be expressed as 7100\frac{7}{100}.
  • Step 3: Combine the whole number and the fraction.
    The mixed number representation of 2.072.07 is therefore 271002\frac{7}{100}.

By following these steps, we find that the decimal 2.072.07 is equivalent to the mixed number 27100 2\frac{7}{100} .

Answer

27100 2\frac{7}{100}

Exercise #17

9.01= 9.01=

Video Solution

Step-by-Step Solution

Let's convert the decimal 9.019.01 into a mixed number step-by-step:

  • Step 1: Identify the integer part and the decimal part of 9.019.01.
    The integer part is 99 and the decimal part is 0.010.01.
  • Step 2: Convert the decimal part 0.010.01 to a fraction.
    0.010.01 is equivalent to 1100\frac{1}{100} because 0.010.01 means 1 part of 100 (i.e., hundredths).
  • Step 3: Form the mixed number using the integer part and the fractional part.
    Combine the integer part 99 with the fractional part 1100\frac{1}{100}:
    \9+1100=911009 + \frac{1}{100} = 9\frac{1}{100}.

Thus, the decimal 9.019.01 is equivalent to the mixed number 911009\frac{1}{100}.

Referring to the options provided, the correct answer is choice 4: 911009\frac{1}{100}.

Therefore, the solution to the problem is 911009\frac{1}{100}.

Answer

91100 9\frac{1}{100}

Exercise #18

1.04= 1.04=

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the whole number and fractional parts of the decimal.
  • Step 2: Convert the fractional decimal to a fraction.
  • Step 3: Simplify the fraction to its lowest terms.
  • Step 4: Express the number as a mixed number.

Now, let's work through each step:

Step 1: The decimal given is 1.04 1.04 . This can be broken down into a whole part and a fraction: 1+0.04 1 + 0.04 .

Step 2: Convert the fractional part. We see 0.04 0.04 as a fraction: 0.04=4100 0.04 = \frac{4}{100} .

Step 3: Simplify the fraction. To simplify 4100 \frac{4}{100} , we divide both the numerator and the denominator by their greatest common divisor, which is 4 4 : 4100=4÷4100÷4=125 \frac{4}{100} = \frac{4 \div 4}{100 \div 4} = \frac{1}{25} .

Step 4: Combine this with the whole number. The mixed number is: 1+125=1125 1 + \frac{1}{25} = 1\frac{1}{25} .

Therefore, the solution to the problem is 1125 1\frac{1}{25} .

Answer

1125 1\frac{1}{25}

Exercise #19

Convert into fraction form:

1.46= 1.46=

Video Solution

Step-by-Step Solution

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, therefore the number is divided by 100

We will write the fraction in the following way:

146100 \frac{146}{100}

Answer

146100 \frac{146}{100}

Exercise #20

Convert into fraction form:

1.77= 1.77=

Video Solution

Step-by-Step Solution

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

We will write the fraction in the following way:

177100 \frac{177}{100}

Answer

177100 \frac{177}{100}