To convert a fraction to a decimal, you divide the top number (numerator) by the bottom number (denominator). Here is the step-by-step solution for each problem:
1.
$\frac{15}{100}$: Divide 15 by 100. Move the decimal point two places to the left.
$15 \div 100 = 0.15$
2.
$\frac{21}{100}$: Divide 21 by 100. Move the decimal point two places to the left.
$21 \div 100 = 0.21$
3.
$\frac{2}{5}$: Divide 2 by 5. Since 5 doesn't go into 2, add a decimal point and a zero to make it 2.0. 5 goes into 20 four times.
$2 \div 5 = 0.4$
4.
$\frac{90}{100}$: Divide 90 by 100. Move the decimal point two places to the left. This gives 0.90, which simplifies to 0.9.
$90 \div 100 = 0.9$
5.
$\frac{1}{10}$: Divide 1 by 10. Move the decimal point one place to the left.
$1 \div 10 = 0.1$
6.
$\frac{5}{10}$: Divide 5 by 10. Move the decimal point one place to the left. This gives 0.5.
$5 \div 10 = 0.5$
7.
$\frac{6}{20}$: First, simplify the fraction or divide directly. $\frac{6}{20}$ is the same as $\frac{3}{10}$. Divide 3 by 10.
$3 \div 10 = 0.3$
*(Alternatively: $6 \div 20 = 0.3$)*
8.
$\frac{79}{100}$: Divide 79 by 100. Move the decimal point two places to the left.
$79 \div 100 = 0.79$
9.
$\frac{60}{100}$: Divide 60 by 100. Move the decimal point two places to the left. This gives 0.60, which simplifies to 0.6.
$60 \div 100 = 0.6$
10.
$\frac{15}{20}$: Simplify the fraction first. Both numbers are divisible by 5. $\frac{15 \div 5}{20 \div 5} = \frac{3}{4}$. Now divide 3 by 4.
$3 \div 4 = 0.75$
Final Answer:
1. 0.15
2. 0.21
3. 0.4
4. 0.9
5. 0.1
6. 0.5
7. 0.3
8. 0.79
9. 0.6
10. 0.75
Parent Tip: Review the logic above to help your child master the concept of relate fractions and decimals worksheet 5th grade.
