To convert a fraction to a decimal, you divide the top number (numerator) by the bottom number (denominator). Here are the step-by-step solutions for each problem on the worksheet:
1.
$\frac{1}{5}$: Divide 1 by 5.
$1 \div 5 = 0.2$
2.
$\frac{3}{9}$: Divide 3 by 9. This simplifies to $\frac{1}{3}$.
$3 \div 9 = 0.333...$ (or $0.\overline{3}$)
3.
$\frac{3}{14}$: Divide 3 by 14.
$3 \div 14 \approx 0.214$ (rounded to three decimal places)
4.
$\frac{13}{10}$: Divide 13 by 10. Move the decimal point one place to the left.
$13 \div 10 = 1.3$
5.
$\frac{3}{11}$: Divide 3 by 11.
$3 \div 11 = 0.2727...$ (or $0.\overline{27}$)
6.
$\frac{7}{18}$: Divide 7 by 18.
$7 \div 18 = 0.3888...$ (or $0.3\overline{8}$)
7.
$\frac{2}{5}$: Divide 2 by 5.
$2 \div 5 = 0.4$
8.
$\frac{4}{9}$: Divide 4 by 9.
$4 \div 9 = 0.444...$ (or $0.\overline{4}$)
9.
$\frac{4}{12}$: Simplify to $\frac{1}{3}$ first, then divide 1 by 3.
$4 \div 12 = 0.333...$ (or $0.\overline{3}$)
10.
$\frac{5}{14}$: Divide 5 by 14.
$5 \div 14 \approx 0.357$ (rounded to three decimal places)
11.
$\frac{9}{25}$: Divide 9 by 25. An easy trick is to multiply top and bottom by 4 to get $\frac{36}{100}$.
$9 \div 25 = 0.36$
12.
$\frac{16}{20}$: Simplify to $\frac{4}{5}$ or $\frac{8}{10}$.
$16 \div 20 = 0.8$
13.
$\frac{6}{13}$: Divide 6 by 13.
$6 \div 13 \approx 0.462$ (rounded to three decimal places)
14.
$\frac{7}{8}$: Divide 7 by 8.
$7 \div 8 = 0.875$
15.
$\frac{4}{5}$: Divide 4 by 5.
$4 \div 5 = 0.8$
16.
$\frac{1}{21}$: Divide 1 by 21.
$1 \div 21 \approx 0.048$ (rounded to three decimal places)
Final Answer:
1. 0.2
2. 0.333...
3. 0.214
4. 1.3
5. 0.2727...
6. 0.3888...
7. 0.4
8. 0.444...
9. 0.333...
10. 0.357
11. 0.36
12. 0.8
13. 0.462
14. 0.875
15. 0.8
16. 0.048
Parent Tip: Review the logic above to help your child master the concept of fractions to decimals worksheet 6th grade.
