Examples with solutions for Converting Decimal Fractions to Simple Fractions and Mixed Numbers: Convert a fraction with an exact number to a decimal

Exercise #1

Which number is equal to 140 \frac{1}{40} ?

Video Solution

Step-by-Step Solution

Let's multiply the numerator and denominator by a number that will help us make the denominator 1000:

1×2540×25=251000 \frac{1\times25}{40\times25}=\frac{25}{1000}

Next, we will rewrite the simple fraction as a decimal fraction:

25.0 25.0

Since we're dividing by 10, the decimal point will move three places to the left, giving us:

.0250 .0250

Finally we'll add the 0 before the decimal point to get:

0.0250=0.025 0.0250=0.025

Answer

0.025

Exercise #2

Which number is equal to 12 \frac{1}{2} ?

Video Solution

Step-by-Step Solution

Let's multiply both the numerator and denominator by a number that will help us make the denominator 10:

1×52×5=510 \frac{1\times5}{2\times5}=\frac{5}{10}

Next we'll rewrite the simple fraction as a decimal fraction:

5.0 5.0

Since we're dividing by 10, the decimal point will move one place to the left, giving us:

.50 .50

Finally we'll add the 0 before the decimal point to get:

0.50=0.5 0.50=0.5

Answer

0.5

Exercise #3

Which number is equal to 320 \frac{3}{20} ?

Video Solution

Step-by-Step Solution

First we will multiply the numerator and denominator by a number that make the denominator 100.

3×520×5=15100 \frac{3\times5}{20\times5}=\frac{15}{100}

Let's now rewrite the simple fraction as a decimal fraction:

15.0 15.0

Since we are dividing by 100, the decimal point will move two places to the left, giving us:

.150 .150

Finally we will add 0 before the decimal point to get:

0.150=0.15 0.150=0.15

Answer

0.15

Exercise #4

Convert into decimal form:

615 \frac{6}{15}

Video Solution

Step-by-Step Solution

Let's divide both the numerator and denominator by a number that will help us get a denominator of 5:

6:315:3=25 \frac{6:3}{15:3}=\frac{2}{5}

Now let's multiply both the numerator and denominator by a number that will help us get a denominator of 10:

2×25×2=410 \frac{2\times2}{5\times2}=\frac{4}{10}

Let's write the simple fraction as a decimal fraction:

4.0 4.0

Since we are dividing by 10, the decimal point will move one place to the left, so we get:

.40 .40

Let's add the 0 before the decimal point as follows:

0.40=0.4 0.40=0.4

Answer

0.4

Exercise #5

Which number is equal to 1525 \frac{15}{25} ?

Video Solution

Step-by-Step Solution

First let's multiply both the numerator and denominator by a number that will help us reach 100 in the denominator:

15×425×4=60100 \frac{15\times4}{25\times4}=\frac{60}{100}

Then we'll rewrite the simple fraction as a decimal:

60.0 60.0

Since we are dividing by 100, the decimal point will move two places to the left, giving us:

.600 .600

We will finally add the 0 before the decimal point to get our answer:

0.600=0.6 0.600=0.6

Answer

0.6

Exercise #6

Choose the number equal to 2450 \frac{24}{50}

Video Solution

Step-by-Step Solution

To solve this problem, we'll convert the fraction 2450\frac{24}{50} into a decimal number by first making its denominator 100:

  • Step 1: Multiply both the numerator and the denominator by 2 to achieve a denominator of 100:

24×250×2=48100 \frac{24 \times 2}{50 \times 2} = \frac{48}{100}

  • Step 2: Convert the fraction 48100\frac{48}{100} to a decimal:

48100=0.48 \frac{48}{100} = 0.48

Therefore, the number equivalent to 2450\frac{24}{50} is 0.48.

The correct choice from the provided answer options is choice 22: 0.48.

Answer

0.48

Exercise #7

Which number is equal to 225 \frac{2}{25} ?

Video Solution

Step-by-Step Solution

Firstly we will multiply the numerator and the denominator by a number that will help us reach 100 in the denominator:

2×425×4=8100 \frac{2\times4}{25\times4}=\frac{8}{100}

Now let's rewrite the simple fraction as a decimal fraction:

8.0 8.0

Since we are dividing by 100, the decimal point will move two places to the left, giving us:

.080 .080

Finally we will add the 0 before the decimal point to get:

0.080=0.08 0.080=0.08

Answer

0.08