Sum of the fractions 43/8 and 5/16 is

Correct Answer is : 41116411/1641611

Sum of the fractions 43/8 and 5/16 is

Correct Answer is : 41116411/1641611

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CTET Paper II (Mathematics and Science) 7 Jan 2022 Solved Paper

Question : 31 of 150

Marks: +1, -0

4\frac{3}{8}

and

\frac{5}{16}

$4\frac{1}{2}$
$4\frac{11}{16}$
$4\frac{13}{16}$
$4\frac{3}{4}$

Validate

Solution:

Concept:

To add a mixed fraction and a proper fraction, first convert the mixed fraction into an improper fraction. Then find the LCM of the denominators to add them, and finally simplify back to a mixed number.

Explanation:

Convert

4\frac{3}{8}

to an improper fraction:

4 \times 8 + 3 = 35

, so it becomes

\frac{35}{8}

We need to add

\frac{35}{8} + \frac{5}{16}

LCM of 8 and 16 is 16. Convert

\frac{35}{8}

to denominator 16:

\frac{35 \times 2}{8 \times 2} = \frac{70}{16}

Now add:

\frac{70}{16} + \frac{5}{16} = \frac{75}{16}

Convert

\frac{75}{16}

to a mixed fraction:

75 \div 16 = 4

remainder

11

, so it is

4\frac{11}{16}

Answer:

4\frac{11}{16}

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