CTET Paper I (Classes I to V) 2 Feb 2023 Solved Paper

Question : 33 of 150

Marks: +1, -0

\frac{2}{5}+\frac{3}{4}

is equal to

Solution:

Concept:

To add fractions with different denominators, first find a common denominator (LCM) and convert each fraction.

Explanation:

Find the LCM of 5 and 4, which is 20.

Convert

\frac{2}{5}

to twentieths:

\frac{2}{5} = \frac{2 \times 4}{5 \times 4} = \frac{8}{20}

Convert

\frac{3}{4}

to twentieths:

\frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20}

Add the numerators:

8 + 15 = 23

. Keep the denominator 20:

\frac{23}{20}

Write the improper fraction as a mixed number: since

20 \times 1 = 20

, remainder 3, we get

1\frac{3}{20}

Answer:

Option C:

1\frac{3}{20}

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