Find the value of -a- if- 3 - -4-15-4

The correct option is C 3 3a/4 is a mixed fraction. 3a/4 = (3 × 4) +a/4 = 12 +a/4 Given, (12 +a)/4 = 15/4 Comparing the numerator gives, (12 + a) = 15 The ...

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Standard IX

Mathematics

Operations on Rational and Irrational Numbers

Find the valu...

Question

Find the value of 'a' if,

$3 \frac{a}{4} = \frac{15}{4}$

$3$

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$4$

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$1$

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$4$

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Solution

The correct option is A
$3$

$3 \frac{a}{4}$ is a mixed fraction.

$3 \frac{a}{4} =$ $\frac{(3 \times 4) + a}{4} =$ $\frac{12 + a}{4}$

Given, $\frac{(12 + a)}{4} =$ $\frac{15}{4}$

$Comparing the numerator gives, (12 + a) = 15$

$Therefore, a = (15 - 12) = 3$

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Find the value of 'a' if, 3a4=154

The correct option is A 3 3a4 is a mixed fraction. 3a4= (3×4) +a4= 12 +a4 Given, (12 +a)4= 154 Comparing the numerator gives, (12 + a) = 15 Therefore, a = (15 - 12) = 3

Find the value of 'a' if,

$3 \frac{a}{4} = \frac{15}{4}$

The correct option is A
$3$

$3 \frac{a}{4}$ is a mixed fraction.

$3 \frac{a}{4} =$ $\frac{(3 \times 4) + a}{4} =$ $\frac{12 + a}{4}$

Given, $\frac{(12 + a)}{4} =$ $\frac{15}{4}$

$Comparing the numerator gives, (12 + a) = 15$

$Therefore, a = (15 - 12) = 3$