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

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:

$\frac{038}{100}$

We'll then remove the unnecessary zeros as follows:

$\frac{38}{100}$

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:

$\frac{006}{100}$

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

$\frac{6}{100}$

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:

$\frac{023}{100}$

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

$\frac{23}{100}$

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:

$\frac{001}{100}$

We'll then remove the unnecessary zeros as follows:

$\frac{1}{100}$

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:

$\frac{009}{100}$

We'll then remove the unnecessary zeros as follows:

$\frac{9}{100}$

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:

$\frac{006}{100}$

We'll then remove the unnecessary zeros as follows:

$\frac{6}{100}$

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:

$\frac{004}{100}$

We'll then remove the unnecessary zeros as follows:

$\frac{4}{100}$

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:

$\frac{055}{100}$

We'll then remove the unnecessary zeros as follows:

$\frac{55}{100}$

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:

$\frac{002}{100}$

We will then remove the unnecessary zeros as follows:

$\frac{2}{100}$

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:

$\frac{011}{100}$

Finally we will remove the unnecessary zeros as follows:

$\frac{11}{100}$

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:

$\frac{017}{100}$

Finally we'll remove the unnecessary zeros as follows:

$\frac{17}{100}$

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:

$\frac{033}{100}$

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

$\frac{33}{100}$

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:

$\frac{065}{100}$

Finally We'll remove the unnecessary zeros as follows:

$\frac{65}{100}$

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:

$\frac{091}{100}$

Finally let's remove the unnecessary zeros as follows:

$\frac{91}{100}$

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:

$\frac{461}{100}$

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:

$\frac{336}{100}$

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:

$\frac{111}{100}$

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:

$\frac{177}{100}$

To solve the problem of converting the decimal $1.09$ into a mixed number, we proceed with the following steps:

• Step 1: Identify that the whole number part is $1$.
• Step 2: Convert the decimal part $0.09$ to a fraction. As the digit 9 is in the hundredth place, $0.09$ is equivalent to $\frac{9}{100}$.
• Step 3: Combine the whole number and fractional parts to form the mixed number: $1 \frac{9}{100}$.

Consequently, by converting $1.09$ into a mixed number, we obtain the result: $1\frac{9}{100}$.

Among the provided choices, the correct answer is:

$1\frac{9}{100}$

To convert the decimal 7.13 into a mixed number with 100 as the denominator, we follow these steps:

• Step 1: Identify the integer part of the decimal, which is 7.
• Step 2: Convert the decimal part 0.13 into a fraction.
  - The number 13 is in the hundredths place, which translates to the fraction $\frac{13}{100}$.
• Step 3: Combine the integer part with the fractional part to form the mixed number:
  - Therefore, $7.13 = 7 \frac{13}{100}$.

As a result, the decimal 7.13 is equivalent to the mixed number $7\frac{13}{100}$.