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

3a/4 is a mixed fraction. 3a/4=(3 × 4) + a/4=12 + a/4 Given, (12+a)/4=15/4 Since denominators are already equal, equate the numerators. We have, 12 + a nbs ...

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Standard VI

Mathematics

Multiplying a Number with a Fraction

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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$2$

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Solution

The correct option is A
$3$

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

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

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

Since denominators are already equal, equate the numerators. We have,
$12 + a = 15$

$Therefore, a = 15 - 12 = 3$

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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 Since denominators are already equal, equate the numerators. We have, 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.

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

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

Since denominators are already equal, equate the numerators. We have,
$12 + a = 15$

$Therefore, a = 15 - 12 = 3$