Examples with solutions for Converting Decimal Fractions to Simple Fractions and Mixed Numbers: Find the missing number

Exercise #1

Circle the number 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 reach 10 in the denominator:

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

We'll write 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, so we'll get:

.50 .50

We'll add the 0 before the decimal point and get:

0.50=0.5 0.50=0.5

Answer

0.5

Exercise #2

Circle the number equal to 60300 \frac{60}{300}

Video Solution

Step-by-Step Solution

Let's divide both the numerator and the denominator by a number that will help us reach 100 in the denominator:

60:3300:3=20100 \frac{60:3}{300:3}=\frac{20}{100}

We'll write the simple fraction as a decimal fraction:

20.0 20.0

Since we're dividing by 100, the decimal point will move two places to the left, so we'll get:

.20 .20

We'll add the 0 before the decimal point and get:

0.20=0.2 0.20=0.2

Answer

0.2

Exercise #3

Circle the number 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 reach 1000 in the denominator:

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

We'll write 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, so we'll get:

.0250 .0250

We'll add the 0 before the decimal point and get:

0.0250=0.025 0.0250=0.025

Answer

0.025

Exercise #4

Mark the number equal to 0.012

Video Solution

Step-by-Step Solution

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

Let's 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 three numbers after the zero, so the number is divided by 1000

Let's write the fraction in the following way:

00121000 \frac{0012}{1000}

We'll remove the unnecessary zeros and get:

121000 \frac{12}{1000}

Answer

121000 \frac{12}{1000}

Exercise #5

Circle the number equal to 910 \frac{9}{10}

Video Solution

Step-by-Step Solution

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

9.0 9.0

Since the fraction divides by 10, we move the decimal point one place to the left:

.90 .90

We add a zero before the decimal point and get:

0.90=0.9 0.90=0.9

Answer

0.9

Exercise #6

Circle the number equal to 73100 \frac{73}{100}

Video Solution

Step-by-Step Solution

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

73.0 73.0

Since the fraction divides by 100, we move the decimal point two places to the left:

.730 .730

We'll add a zero before the decimal point and get:

0.730=0.73 0.730=0.73

Answer

0.73

Exercise #7

Circle the number equal to 85100 \frac{85}{100}

Video Solution

Step-by-Step Solution

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

85.0 85.0

Since the fraction divides by 100, we move the decimal point two places to the left:

.850 .850

We add a zero before the decimal point and get:

0.850=0.85 0.850=0.85

Answer

0.85 0.85

Exercise #8

Circle the number equal to 741000 \frac{74}{1000}

Video Solution

Step-by-Step Solution

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

74.0 74.0

Since the fraction divides by 1000, we move the decimal point three places to the left:

.0740 .0740

We'll add a zero before the decimal point and get:

0.0740=0.074 0.0740=0.074

Answer

0.074

Exercise #9

Circle the number equal to 225 \frac{2}{25}

Video Solution

Step-by-Step Solution

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}

Let's write 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, so we get:

.080 .080

We'll add the 0 before the decimal point and get:

0.080=0.08 0.080=0.08

Answer

0.08

Exercise #10

Circle the number equal to 191000 \frac{19}{1000}

Video Solution

Step-by-Step Solution

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

19.0 19.0

Since the fraction divides by 1000, we move the decimal point three places to the left:

.0190 .0190

We'll add a zero before the decimal point and get:

0.0190=0.019 0.0190=0.019

Answer

0.019

Exercise #11

Circle the number equal to 310 \frac{3}{10}

Video Solution

Step-by-Step Solution

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

3.0 3.0

Since the fraction divides by 10, we move the decimal point one place to the left:

.30 .30

We add a zero before the decimal point and get:

0.30=0.3 0.30=0.3

Answer

0.3

Exercise #12

Circle the number equal to 320 \frac{3}{20}

Video Solution

Step-by-Step Solution

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

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

Let's write 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, so we get:

.150 .150

We'll add the 0 before the decimal point and get:

0.150=0.15 0.150=0.15

Answer

0.15

Exercise #13

Circle the number equal to 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 and we get:

0.40=0.4 0.40=0.4

Answer

0.4

Exercise #14

Circle the number equal to 1525 \frac{15}{25}

Video Solution

Step-by-Step Solution

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}

We'll write the simple fraction as a decimal fraction:

60.0 60.0

Since we're dividing by 010, the decimal point will move two places to the left, so we'll get:

.600 .600

We'll add the 0 before the decimal point and get:

0.600=0.6 0.600=0.6

Answer

0.6

Exercise #15

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

Video Solution

Answer

0.48