Math worksheet for Class V students practicing conversion between fractions and decimals.

Worksheet 3: TENTHS & HUNDREDTHS

#### Part I: Change the following fractions into decimals

1. $\frac{7}{10}$
- To convert a fraction to a decimal, divide the numerator by the denominator.
- Here, $ \frac{7}{10} = 7 \div 10 = 0.7 $
- Answer: $ 0.7 $

2. $\frac{9}{100}$
- Similarly, divide the numerator by the denominator.
- Here, $ \frac{9}{100} = 9 \div 100 = 0.09 $
- Answer: $ 0.09 $

3. $\frac{15}{10}$
- Divide the numerator by the denominator.
- Here, $ \frac{15}{10} = 15 \div 10 = 1.5 $
- Answer: $ 1.5 $

4. $\frac{58}{100}$
- Divide the numerator by the denominator.
- Here, $ \frac{58}{100} = 58 \div 100 = 0.58 $
- Answer: $ 0.58 $

5. $\frac{7}{100}$
- Divide the numerator by the denominator.
- Here, $ \frac{7}{100} = 7 \div 100 = 0.07 $
- Answer: $ 0.07 $

---

#### Part II: Change the following decimals into fractions

6. $0.3$
- The decimal $0.3$ means $3$ tenths.
- Therefore, $0.3 = \frac{3}{10}$
- Answer: $ \frac{3}{10} $

7. $0.06$
- The decimal $0.06$ means $6$ hundredths.
- Therefore, $0.06 = \frac{6}{100}$
- Simplify the fraction: $ \frac{6}{100} = \frac{3}{50} $
- Answer: $ \frac{3}{50} $

8. $0.55$
- The decimal $0.55$ means $55$ hundredths.
- Therefore, $0.55 = \frac{55}{100}$
- Simplify the fraction: $ \frac{55}{100} = \frac{11}{20} $
- Answer: $ \frac{11}{20} $

9. $1.75$
- The decimal $1.75$ can be split into $1 + 0.75$.
- $0.75$ means $75$ hundredths, so $0.75 = \frac{75}{100}$.
- Simplify $ \frac{75}{100} = \frac{3}{4} $.
- Combine with the whole number: $1 + \frac{3}{4} = \frac{4}{4} + \frac{3}{4} = \frac{7}{4} $
- Answer: $ \frac{7}{4} $

10. $7.5$
- The decimal $7.5$ can be split into $7 + 0.5$.
- $0.5$ means $5$ tenths, so $0.5 = \frac{5}{10}$.
- Simplify $ \frac{5}{10} = \frac{1}{2} $.
- Combine with the whole number: $7 + \frac{1}{2} = \frac{14}{2} + \frac{1}{2} = \frac{15}{2} $
- Answer: $ \frac{15}{2} $

---

Final Answers:

1. $ 0.7 $
2. $ 0.09 $
3. $ 1.5 $
4. $ 0.58 $
5. $ 0.07 $
6. $ \frac{3}{10} $
7. $ \frac{3}{50} $
8. $ \frac{11}{20} $
9. $ \frac{7}{4} $
10. $ \frac{15}{2} $

Boxed Final Answer:
$$
\boxed{
\begin{aligned}
&1. \, 0.7 \\
&2. \, 0.09 \\
&3. \, 1.5 \\
&4. \, 0.58 \\
&5. \, 0.07 \\
&6. \, \frac{3}{10} \\
&7. \, \frac{3}{50} \\
&8. \, \frac{11}{20} \\
&9. \, \frac{7}{4} \\
&10. \, \frac{15}{2}
\end{aligned}
}
$$