Mathematics

Grade-8

Easy

Question

# Evaluate

Hint:

### A fraction expressed in terms of its divisor (DR), quotient (Q) and remainder (R) is known as a mixed fraction. It is written as Q R/DR.

It can be converted into a normal fraction by multiplying the divisor with the quotient and adding the remainder to it to form the numerator while the divisor becomes the denominator i.e. [(DR * Q) + R] / DR.

## The correct answer is:

### GIVEN-

given expression = √(1 9/16)

TO FIND-

Value of the given expression.

SOLUTION-

We know that in the given mixed fraction-

Quotient = 1

Divisor = 9

Remainder = 16

√(1 9/16) = √ {[(16 * 1) + 9] / 16}

∴ √(1 9/16) = √{[16 + 9] / 16}

∴ √(1 9/16) = √ {25/16}

∴ √(1 9/16) = √25 / √16 ......................... (√(m/n = √m / √n)

∴ √(1 9/16) = 5/4

Now, when we divide 5 by 4, we get the quotient as 1, divisor as 4 and remainder as 1.

∴ √(1 9/16) = 5/4 = 1 1/4

FINAL ANSWER-

Option 'a' i.e. '1 1/4' is the correct answer to the given question.

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