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

The correct option is B 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 ∴ a = 15 ...

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Byju's Answer

Standard VI

Mathematics

Inter Conversion of Mixed Fraction and Improper Fraction

Find the valu...

Question

Find the value of $a$ if,

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

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Solution

The correct option is A
3

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

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

Given, $\frac{(12 + a)}{4} = \frac{15}{4}$
Comparing the numerator gives,
$12 + a = 15$

$∴ a = 15 - 12 = 3$

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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 ∴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.

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

Given, $\frac{(12 + a)}{4} = \frac{15}{4}$
Comparing the numerator gives,
$12 + a = 15$

$∴ a = 15 - 12 = 3$