Sum of the fractions 3/15 and 7/12 is

Correct Answer is : 476047/606047

Sum of the fractions 3/15 and 7/12 is

Correct Answer is : 476047/606047

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CTET Paper I (Classes I to V) 5 Jan 2022 Solved Paper

Question : 34 of 150

Marks: +1, -0

\frac{3}{15}

and

\frac{7}{12}

$\frac{10}{27}$
$\frac{47}{60}$
$\frac{35}{27}$
$\frac{43}{60}$

Validate

Solution:

Concept:

To add unlike fractions, find the least common multiple (LCM) of the denominators, convert each fraction to an equivalent fraction with that common denominator, then add the numerators.

Explanation:

First, simplify

\frac{3}{15}

\frac{1}{5}

(divide numerator and denominator by 3).

The denominators are 5 and 12. Their LCM is 60.

Convert

\frac{1}{5}

\frac{12}{60}

(multiply numerator and denominator by 12).

Convert

\frac{7}{12}

\frac{35}{60}

(multiply numerator and denominator by 5).

Add the numerators:

12 + 35 = 47

. Keep the denominator 60.

The sum is

\frac{47}{60}

Answer:

\frac{47}{60}

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