CBSE Class 5 Maths Practice Worksheet - Free Printable
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Step-by-step solution for: CBSE Class 5 Maths Practice Worksheet
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Show Answer Key & Explanations
Step-by-step solution for: CBSE Class 5 Maths Practice Worksheet
Let's solve each problem step by step.
---
Multiply the numerators and denominators:
$$
\frac{2 \times 7}{7 \times 2} = \frac{14}{14} = 1
$$
✔ Answer: 1
---
Any number divided by a non-zero number is defined.
$0 \div \text{(non-zero)} = 0$
✔ Answer: 0
---
Dividing any number by 1 gives the same number.
$$
\frac{5}{6} \div 1 = \frac{5}{6}
$$
✔ Answer: $\frac{5}{6}$
---
Dividing a number by itself is 1.
$$
\frac{10}{9} \div \frac{10}{9} = 1
$$
✔ Answer: 1
---
Zero divided by any non-zero number is zero.
$$
0 \div \frac{2}{3} = 0
$$
✔ Answer: 0
---
To divide by a fraction, multiply by its reciprocal:
$$
1 \div \frac{4}{5} = 1 \times \frac{5}{4} = \frac{5}{4}
$$
✔ Answer: $\frac{5}{4}$ or $1\frac{1}{4}$
---
We need to find what number divided by $\frac{6}{9}$ gives 0.
Only 0 divided by a non-zero number gives 0.
So,
$$
0 \div \frac{6}{9} = 0
$$
✔ Answer: 0
---
Any number divided by 1 is itself.
So, the missing number is $\frac{3}{7}$
$$
\frac{3}{7} \div 1 = \frac{3}{7}
$$
✔ Answer: $\frac{3}{7}$
---
We’ll simplify each expression one by one.
#### a) $\frac{9}{10} \times 15$
$$
\frac{9}{10} \times 15 = \frac{9 \times 15}{10} = \frac{135}{10} = 13.5 \quad \text{or} \quad \frac{27}{2} = 13\frac{1}{2}
$$
✔ Answer: $13\frac{1}{2}$
---
#### b) $20 \times \frac{10}{25}$
Simplify $\frac{10}{25} = \frac{2}{5}$
$$
20 \times \frac{2}{5} = \frac{40}{5} = 8
$$
✔ Answer: 8
---
#### c) $3 \times \frac{7}{10}$
$$
\frac{3 \times 7}{10} = \frac{21}{10} = 2\frac{1}{10}
$$
✔ Answer: $2\frac{1}{10}$
---
#### d) $\frac{5}{3} \times \frac{9}{13}$
$$
\frac{5 \times 9}{3 \times 13} = \frac{45}{39} = \frac{15}{13} = 1\frac{2}{13}
$$
✔ Answer: $1\frac{2}{13}$
---
#### e) $\frac{13}{5} \times \frac{5}{26}$
Cancel common factors:
- 5 in numerator and denominator cancel.
- 13 and 26: $26 = 2 \times 13$, so cancel 13.
$$
\frac{13}{5} \times \frac{5}{26} = \frac{1}{1} \times \frac{1}{2} = \frac{1}{2}
$$
✔ Answer: $\frac{1}{2}$
---
#### f) $\frac{12}{10} \times \frac{7}{21}$
Simplify fractions:
- $\frac{12}{10} = \frac{6}{5}$
- $\frac{7}{21} = \frac{1}{3}$
Now:
$$
\frac{6}{5} \times \frac{1}{3} = \frac{6}{15} = \frac{2}{5}
$$
✔ Answer: $\frac{2}{5}$
---
#### g) $8 \times 4\frac{1}{6}$
Convert mixed number to improper:
$4\frac{1}{6} = \frac{25}{6}$
$$
8 \times \frac{25}{6} = \frac{200}{6} = \frac{100}{3} = 33\frac{1}{3}
$$
✔ Answer: $33\frac{1}{3}$
---
#### h) $3\frac{3}{7} \times 1\frac{1}{7}$
Convert both to improper:
- $3\frac{3}{7} = \frac{24}{7}$
- $1\frac{1}{7} = \frac{8}{7}$
$$
\frac{24}{7} \times \frac{8}{7} = \frac{192}{49} = 3\frac{45}{49}
$$
✔ Answer: $3\frac{45}{49}$
---
#### i) $9 \text{ of } \frac{6}{15}$
"Of" means multiplication.
$$
9 \times \frac{6}{15} = \frac{54}{15} = \frac{18}{5} = 3\frac{3}{5}
$$
✔ Answer: $3\frac{3}{5}$
---
#### j) $5 \text{ of } \frac{15}{25}$
$$
5 \times \frac{15}{25} = 5 \times \frac{3}{5} = 3
$$
✔ Answer: 3
---
#### k) $1\frac{2}{3} \times 3\frac{4}{5}$
Convert to improper:
- $1\frac{2}{3} = \frac{5}{3}$
- $3\frac{4}{5} = \frac{19}{5}$
$$
\frac{5}{3} \times \frac{19}{5} = \frac{95}{15} = \frac{19}{3} = 6\frac{1}{3}
$$
✔ Answer: $6\frac{1}{3}$
---
#### l) $3\frac{1}{3} \times 12$
Convert: $3\frac{1}{3} = \frac{10}{3}$
$$
\frac{10}{3} \times 12 = \frac{120}{3} = 40
$$
✔ Answer: 40
---
| Question | Answer |
|--------|--------|
| 17 | 1 |
| 18 | 0 |
| 19 | $\frac{5}{6}$ |
| 20 | 1 |
| 21 | 0 |
| 22 | $\frac{5}{4}$ or $1\frac{1}{4}$ |
| 23 | 0 |
| 24 | $\frac{3}{7}$ |
| 25a | $13\frac{1}{2}$ |
| 25b | 8 |
| 25c | $2\frac{1}{10}$ |
| 25d | $1\frac{2}{13}$ |
| 25e | $\frac{1}{2}$ |
| 25f | $\frac{2}{5}$ |
| 25g | $33\frac{1}{3}$ |
| 25h | $3\frac{45}{49}$ |
| 25i | $3\frac{3}{5}$ |
| 25j | 3 |
| 25k | $6\frac{1}{3}$ |
| 25l | 40 |
Let me know if you'd like these explained further!
---
17. $\frac{2}{7} \times \frac{7}{2} = ?$
Multiply the numerators and denominators:
$$
\frac{2 \times 7}{7 \times 2} = \frac{14}{14} = 1
$$
✔ Answer: 1
---
18. When 0 is divided by a non-zero fraction, the quotient is ________.
Any number divided by a non-zero number is defined.
$0 \div \text{(non-zero)} = 0$
✔ Answer: 0
---
19. $\frac{5}{6} \div 1 = ?$
Dividing any number by 1 gives the same number.
$$
\frac{5}{6} \div 1 = \frac{5}{6}
$$
✔ Answer: $\frac{5}{6}$
---
20. $\frac{10}{9} \div \frac{10}{9} = ?$
Dividing a number by itself is 1.
$$
\frac{10}{9} \div \frac{10}{9} = 1
$$
✔ Answer: 1
---
21. $0 \div \frac{2}{3} = ?$
Zero divided by any non-zero number is zero.
$$
0 \div \frac{2}{3} = 0
$$
✔ Answer: 0
---
22. $1 \div \frac{4}{5} = ?$
To divide by a fraction, multiply by its reciprocal:
$$
1 \div \frac{4}{5} = 1 \times \frac{5}{4} = \frac{5}{4}
$$
✔ Answer: $\frac{5}{4}$ or $1\frac{1}{4}$
---
23. $\boxed{\quad} \div \frac{6}{9} = 0$
We need to find what number divided by $\frac{6}{9}$ gives 0.
Only 0 divided by a non-zero number gives 0.
So,
$$
0 \div \frac{6}{9} = 0
$$
✔ Answer: 0
---
24. $\boxed{\quad} \div 1 = \frac{3}{7}$
Any number divided by 1 is itself.
So, the missing number is $\frac{3}{7}$
$$
\frac{3}{7} \div 1 = \frac{3}{7}
$$
✔ Answer: $\frac{3}{7}$
---
25. Simplify the following:
We’ll simplify each expression one by one.
#### a) $\frac{9}{10} \times 15$
$$
\frac{9}{10} \times 15 = \frac{9 \times 15}{10} = \frac{135}{10} = 13.5 \quad \text{or} \quad \frac{27}{2} = 13\frac{1}{2}
$$
✔ Answer: $13\frac{1}{2}$
---
#### b) $20 \times \frac{10}{25}$
Simplify $\frac{10}{25} = \frac{2}{5}$
$$
20 \times \frac{2}{5} = \frac{40}{5} = 8
$$
✔ Answer: 8
---
#### c) $3 \times \frac{7}{10}$
$$
\frac{3 \times 7}{10} = \frac{21}{10} = 2\frac{1}{10}
$$
✔ Answer: $2\frac{1}{10}$
---
#### d) $\frac{5}{3} \times \frac{9}{13}$
$$
\frac{5 \times 9}{3 \times 13} = \frac{45}{39} = \frac{15}{13} = 1\frac{2}{13}
$$
✔ Answer: $1\frac{2}{13}$
---
#### e) $\frac{13}{5} \times \frac{5}{26}$
Cancel common factors:
- 5 in numerator and denominator cancel.
- 13 and 26: $26 = 2 \times 13$, so cancel 13.
$$
\frac{13}{5} \times \frac{5}{26} = \frac{1}{1} \times \frac{1}{2} = \frac{1}{2}
$$
✔ Answer: $\frac{1}{2}$
---
#### f) $\frac{12}{10} \times \frac{7}{21}$
Simplify fractions:
- $\frac{12}{10} = \frac{6}{5}$
- $\frac{7}{21} = \frac{1}{3}$
Now:
$$
\frac{6}{5} \times \frac{1}{3} = \frac{6}{15} = \frac{2}{5}
$$
✔ Answer: $\frac{2}{5}$
---
#### g) $8 \times 4\frac{1}{6}$
Convert mixed number to improper:
$4\frac{1}{6} = \frac{25}{6}$
$$
8 \times \frac{25}{6} = \frac{200}{6} = \frac{100}{3} = 33\frac{1}{3}
$$
✔ Answer: $33\frac{1}{3}$
---
#### h) $3\frac{3}{7} \times 1\frac{1}{7}$
Convert both to improper:
- $3\frac{3}{7} = \frac{24}{7}$
- $1\frac{1}{7} = \frac{8}{7}$
$$
\frac{24}{7} \times \frac{8}{7} = \frac{192}{49} = 3\frac{45}{49}
$$
✔ Answer: $3\frac{45}{49}$
---
#### i) $9 \text{ of } \frac{6}{15}$
"Of" means multiplication.
$$
9 \times \frac{6}{15} = \frac{54}{15} = \frac{18}{5} = 3\frac{3}{5}
$$
✔ Answer: $3\frac{3}{5}$
---
#### j) $5 \text{ of } \frac{15}{25}$
$$
5 \times \frac{15}{25} = 5 \times \frac{3}{5} = 3
$$
✔ Answer: 3
---
#### k) $1\frac{2}{3} \times 3\frac{4}{5}$
Convert to improper:
- $1\frac{2}{3} = \frac{5}{3}$
- $3\frac{4}{5} = \frac{19}{5}$
$$
\frac{5}{3} \times \frac{19}{5} = \frac{95}{15} = \frac{19}{3} = 6\frac{1}{3}
$$
✔ Answer: $6\frac{1}{3}$
---
#### l) $3\frac{1}{3} \times 12$
Convert: $3\frac{1}{3} = \frac{10}{3}$
$$
\frac{10}{3} \times 12 = \frac{120}{3} = 40
$$
✔ Answer: 40
---
✔ Final Answers Summary:
| Question | Answer |
|--------|--------|
| 17 | 1 |
| 18 | 0 |
| 19 | $\frac{5}{6}$ |
| 20 | 1 |
| 21 | 0 |
| 22 | $\frac{5}{4}$ or $1\frac{1}{4}$ |
| 23 | 0 |
| 24 | $\frac{3}{7}$ |
| 25a | $13\frac{1}{2}$ |
| 25b | 8 |
| 25c | $2\frac{1}{10}$ |
| 25d | $1\frac{2}{13}$ |
| 25e | $\frac{1}{2}$ |
| 25f | $\frac{2}{5}$ |
| 25g | $33\frac{1}{3}$ |
| 25h | $3\frac{45}{49}$ |
| 25i | $3\frac{3}{5}$ |
| 25j | 3 |
| 25k | $6\frac{1}{3}$ |
| 25l | 40 |
Let me know if you'd like these explained further!
Parent Tip: Review the logic above to help your child master the concept of fifth math worksheet.