CTET Paper I (Classes I to V) Dec 2018 Solved Paper

Question : 46 of 150

Marks: +1, -0

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

is _______.

Solution:

Concept:

To add fractions with different denominators, find the least common denominator (LCD), convert each fraction, then add the numerators.

Explanation:

Find the LCD of 3 and 5, which is 15.

Convert:

\frac{2}{3} = \frac{2 \times 5}{3 \times 5} = \frac{10}{15}

and

\frac{4}{5} = \frac{4 \times 3}{5 \times 3} = \frac{12}{15}

Add:

\frac{10}{15} + \frac{12}{15} = \frac{22}{15}

Convert improper fraction to mixed number:

22 \div 15 = 1

remainder

7

, so

1\frac{7}{15}

Answer:

Option C:

1\frac{7}{15}

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