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38 questions · timed · auto-graded

Question 12 Marks
$\frac{2}{7}-\frac{1}{4}$
Answer
Smallest common multiple of 7 and 4 is 28.

$\begin{aligned} \frac{2}{7}-\frac{1}{4} & =\frac{2 \times 4}{7 \times 4}-\frac{1 \times 7}{4 \times 7} \\ & =\frac{8}{28}-\frac{7}{28} \\ & =\frac{8-7}{28}=\frac{1}{28}\end{aligned}$

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Question 22 Marks
$\frac{4}{6}-\frac{3}{5}$
Answer
Smallest common multiple of 6 and 5 is 30. So,

$\begin{aligned} \frac{4}{6}-\frac{3}{5} & =\frac{4 \times 5}{6 \times 5}-\frac{3 \times 6}{5 \times 6} \\ & =\frac{20}{30}-\frac{18}{30} \\ & =\frac{20-18}{30}=\frac{2}{30}\end{aligned}$

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Question 32 Marks
$\frac{6}{14}-\frac{2}{7}$
Answer
14 is the multiples of 7. So,

$\begin{aligned} \frac{6}{14}-\frac{2}{7} & =\frac{6}{14}-\frac{2 \times 2}{7 \times 2} \\ & =\frac{6}{14}-\frac{4}{14} \\ & =\frac{6-4}{14}=\frac{2}{14}\end{aligned}$

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Question 42 Marks
$\frac{3}{4}-\frac{1}{2}$
Answer
4 is the multiple of 2. So,

$\begin{aligned} \frac{3}{4}-\frac{1}{2} & =\frac{3}{4}-\frac{1 \times 2}{2 \times 2} \\ & =\frac{3}{4}-\frac{2}{4} \\ & =\frac{3-2}{4}=\frac{1}{4}\end{aligned}$

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Question 52 Marks
$\frac{3}{10}-\frac{1}{20}$
Answer
20 is the multiples of 10. So,

$\begin{aligned} & \frac{3}{10}-\frac{1}{20}=\frac{3 \times 2}{10 \times 2}-\frac{1}{20} \\ & =\frac{6}{20}-\frac{1}{20} \\ & =\frac{6-1}{20}=\frac{5}{20}\end{aligned}$

$\frac{5}{20}$

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Question 62 Marks
$\frac{3}{9}+\frac{3}{5}$
Answer
Smallest common multiple of 9 and 5 is 45.

$\begin{aligned} \frac{3}{9}+\frac{3}{5} & =\frac{3 \times 5}{9 \times 5}+\frac{3 \times 9}{5 \times 9} \\ & =\frac{15}{45}+\frac{27}{45} \\ & =\frac{15+27}{45}=\frac{42}{45}\end{aligned}$

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Question 72 Marks
$\frac{2}{7}+\frac{1}{2}$
Answer
Smallest common multiple of 2 and 7 is 14. So, making denominator of both the fractions 14

$\begin{aligned} \frac{2}{7}+\frac{1}{2} & =\frac{2 \times 2}{7 \times 2}+\frac{1 \times 7}{2 \times 7} \\ & =\frac{4}{14}+\frac{7}{14} \\ & =\frac{4+7}{14}=\frac{11}{14}\end{aligned}$

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Question 82 Marks
$\frac{2}{5}+\frac{1}{3}$
Answer
Least common multiple of 5 and 3 is 15. So making common denominator of both the fractions 15.

$\begin{aligned} \frac{2}{5}+\frac{1}{3} & =\frac{2 \times 3}{5 \times 3}+\frac{1 \times 5}{3 \times 5} \\ & =\frac{6}{15}+\frac{5}{15} \\ & =\frac{6+5}{15}=\frac{11}{15}\end{aligned}$

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Question 92 Marks
$\frac{2}{21}+\frac{3}{7}$
Answer
21 is the multiple of 7. So making 21 as denominator of both the fractions.

$\frac{2}{21}+\frac{3 \times 3}{7 \times 3}=\frac{2}{21}+\frac{9}{21}$

$=\frac{2+9}{21}=\frac{11}{21}$

$\frac{11}{21}$

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Question 102 Marks
$\frac{1}{8}+\frac{3}{4}$
Answer
The smallest common multiple of 4 and 8 is 8. So making 8 is the common denominator of the given fractions.

$\frac{1}{8}+\frac{3 \times 2}{4 \times 2}=\frac{1}{8}+\frac{6}{8}$

$\frac{7}{8}$

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Question 112 Marks
$\frac{7}{10}$
of a wall is to be painted. Ramu has painted 410 of it. How much more needs to be painted?
Answer
To be painted – painted

$\frac{7}{10}-\frac{4}{10}=\frac{7-4}{10}=\frac{3}{10}$

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Question 202 Marks
The girls of Std V cleaned

$\frac{3}{4}$

of a field while the boys cleaned

$\frac{1}{4}$

What part of the field was cleaned altogether?
Answer
Girls cleaned + Boys cleaned

$\frac{3}{4}+\frac{1}{4}=\frac{3+1}{4}=\frac{4}{4}=1$

Full whole field cleaned altogether.
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Question 212 Marks
Mother gave

$\frac{3}{8}$

of one guava to Meena and

$\frac{2}{8}$

of the guava to Geeta. What part of the guava did she give them altogether?
Answer
$\frac{3}{8}+\frac{2}{8}=\frac{3+2}{8}=\frac{5}{8}$

given altogether

$\frac{5}{8}$

part of guava given altogether
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Question 242 Marks
$\frac{2}{10}+\frac{4}{10}+\frac{3}{10}$
Answer
$\frac{2}{10}+\frac{4}{10}+\frac{3}{10}=\frac{2+4+3}{10}=\frac{9}{10}$
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Question 252 Marks
$\frac{2}{7}+\frac{1}{7}+\frac{3}{7}$
Answer
$\frac{2}{7}+\frac{1}{7}+\frac{3}{7}=\frac{2+1+3}{7}=\frac{6}{7}$
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Question 312 Marks
$\frac{1}{6}, \frac{4}{9}$
Answer
Least common multiple of 6 and 9 is 18 So, make 18 as common denominator

$\frac{1}{6}=\frac{1 \times 3}{6 \times 3}=\frac{3}{18}, \frac{4}{9}=\frac{4 \times 2}{9 \times 2}=\frac{8}{18}$

So, 3/18 and 8/18 are the required like fractions.
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Question 322 Marks
$\frac{3}{8}, \frac{1}{6}$
Answer
Least common multiple of 8 and 6 is 24 So, make 24 as common denominator

$\frac{3}{8}=\frac{3 \times 3}{8 \times 3}=\frac{9}{24}, \frac{1}{6}=\frac{1 \times 4}{6 \times 4}=\frac{4}{24}$ So, $\frac{9}{24}, \frac{4}{24}$

are required like fractions.
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Question 332 Marks
$\frac{5}{6}, \frac{4}{5}$
Answer
Least common multiple of 6 and 5 is 30 So, make 30 as common denominator

$\frac{5}{6}=\frac{5 \times 5}{6 \times 5}=\frac{25}{30}, \frac{4}{5}=\frac{4 \times 6}{5 \times 6}=\frac{24}{30}$ So, $\frac{25}{30}, \frac{24}{30}$

are required like fractions.
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Question 342 Marks
$\frac{1}{4}, \frac{2}{3}$
Answer
Least common multiple of 4 and 3 is 12 So, make 12 as common denominator

$\frac{1}{4}=\frac{1 \times 3}{4 \times 3}=\frac{3}{12}, \frac{2}{3}=\frac{2 \times 4}{3 \times 4}=\frac{8}{12}, 50, \frac{3}{12}, \frac{8}{12}$

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Question 352 Marks
$\frac{2}{9}, \frac{1}{6}$
Answer
Least common multiple of 9 and 6 is 18. So, make, 18 as the common denominator.

$\frac{2}{9}=\frac{2 \times 2}{9 \times 2}=\frac{4}{18}, \frac{1}{6}=\frac{1 \times 3}{6 \times 3}=\frac{3}{18}$

Thus, 4/18 and 3/18 are the required like fractions.
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Question 362 Marks
$\frac{4}{5}, \frac{3}{10}$
Answer
Here 10 is the multiples of 5. So make 10 as the common denominator

$\frac{4}{5}=\frac{4 \times 2}{5 \times 2}=\frac{8}{10}$

Thus 8/10 and 3/10 are required like fractions.
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Question 372 Marks
$\frac{3}{5}, \frac{3}{7}$
Answer
The number 35 is a multiple of both 5 and 7 So, making 35 as the common denominater

$\frac{3}{5}=\frac{3 \times 7}{5 \times 7}=\frac{21}{35}, \frac{3}{7}=\frac{3 \times 5}{7 \times 5}=\frac{15}{35}$

Therefore, 21/35 and 15/35 are required like fractions.
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Question 382 Marks
$\frac{3}{4}, \frac{5}{8}$
Answer
8 is the multiple of 4 So, make 8, the common denominator

$\frac{3}{4}=\frac{3 \times 2}{4 \times 2}=\frac{6}{8}$

Thus 6/8 and 5/8are the required like fractions.
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2 Mark Question - MATHS STD 5 Questions - Vidyadip