To solve the problem of converting fractions to decimals, we need to divide the numerator by the denominator for each fraction. Let's go through each fraction step by step:
1. $\frac{1}{2}$
- Divide 1 by 2:
$ 1 \div 2 = 0.5 $
-
Answer: $ 0.5 $
2. $\frac{1}{3}$
- Divide 1 by 3:
$ 1 \div 3 = 0.333\ldots $ (repeating decimal)
Often written as $ 0.\overline{3} $ or rounded to $ 0.33 $ (depending on precision required).
-
Answer: $ 0.333\ldots $ or $ 0.\overline{3} $
3. $\frac{1}{8}$
- Divide 1 by 8:
$ 1 \div 8 = 0.125 $
-
Answer: $ 0.125 $
4. $\frac{2}{10}$
- Divide 2 by 10:
$ 2 \div 10 = 0.2 $
-
Answer: $ 0.2 $
5. $\frac{1}{6}$
- Divide 1 by 6:
$ 1 \div 6 = 0.1666\ldots $ (repeating decimal)
Often written as $ 0.\overline{16} $ or rounded to $ 0.17 $ (depending on precision required).
-
Answer: $ 0.1666\ldots $ or $ 0.\overline{16} $
6. $\frac{1}{4}$
- Divide 1 by 4:
$ 1 \div 4 = 0.25 $
-
Answer: $ 0.25 $
7. $\frac{2}{5}$
- Divide 2 by 5:
$ 2 \div 5 = 0.4 $
-
Answer: $ 0.4 $
8. $\frac{2}{3}$
- Divide 2 by 3:
$ 2 \div 3 = 0.666\ldots $ (repeating decimal)
Often written as $ 0.\overline{6} $ or rounded to $ 0.67 $ (depending on precision required).
-
Answer: $ 0.666\ldots $ or $ 0.\overline{6} $
9. $\frac{1}{10}$
- Divide 1 by 10:
$ 1 \div 10 = 0.1 $
-
Answer: $ 0.1 $
10. $\frac{3}{4}$
- Divide 3 by 4:
$ 3 \div 4 = 0.75 $
-
Answer: $ 0.75 $
Final Answers:
1. $ \frac{1}{2} = 0.5 $
2. $ \frac{1}{3} = 0.333\ldots $ or $ 0.\overline{3} $
3. $ \frac{1}{8} = 0.125 $
4. $ \frac{2}{10} = 0.2 $
5. $ \frac{1}{6} = 0.1666\ldots $ or $ 0.\overline{16} $
6. $ \frac{1}{4} = 0.25 $
7. $ \frac{2}{5} = 0.4 $
8. $ \frac{2}{3} = 0.666\ldots $ or $ 0.\overline{6} $
9. $ \frac{1}{10} = 0.1 $
10. $ \frac{3}{4} = 0.75 $
Boxed Final Answer:
$$
\boxed{
\begin{aligned}
1. & \ 0.5 \\
2. & \ 0.333\ldots \text{ or } 0.\overline{3} \\
3. & \ 0.125 \\
4. & \ 0.2 \\
5. & \ 0.1666\ldots \text{ or } 0.\overline{16} \\
6. & \ 0.25 \\
7. & \ 0.4 \\
8. & \ 0.666\ldots \text{ or } 0.\overline{6} \\
9. & \ 0.1 \\
10. & \ 0.75 \\
\end{aligned}
}
$$
Parent Tip: Review the logic above to help your child master the concept of fractions into decimals worksheet.
