2/5× (-3/7)+1/7-(-3/7 × 4/5)is equal to

Correct Answer is : 27+1352/7+1/3572+351

Correct Answer is : 27+1352/7+1/3572+351

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CTET Paper II (Mathematics and Science) 27 Dec 2021 Solved Paper

Question : 34 of 150

Marks: +1, -0

\frac{2}{5}\times (\frac{-3}{7})+\frac{1}{7}-(\frac{-3}{7} \times \frac{4}{5})

is equal to

Solution:

Concept:

Use BODMAS rule and simplify fractions step by step.

Explanation:

First, compute each multiplication:

(2/5) × (-3/7) = -6/35

and

(-3/7) × (4/5) = -12/35

The minus sign before the last term changes it to

+12/35

Now add all terms:

-6/35 + 1/7 + 12/35

Combine the fractions with denominator

35

(-6 + 12)/35 = 6/35

So expression becomes

6/35 + 1/7

Convert

1/7

to denominator

35

1/7 = 5/35

Add:

6/35 + 5/35 = 11/35

Among the options,

\frac{2}{7} + \frac{1}{35} = \frac{10}{35} + \frac{1}{35} = \frac{11}{35}

, which matches.

Answer:

\frac{2}{7}+\frac{1}{35}

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