The value of a if 3 a -4-15-4 is

The correct option is A 3Note that 3a/4 is a mixed fraction. 3a/4 = (3 × 4) +a/4 = 12 +a/4 Given, (12+a)/4 = 15/4 Comparing the numerators on both sides, we ...

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Byju's Answer

Standard VI

Mathematics

Interconversion between Improper and Mixed Fraction

The value of ...

Question

The value of $a$ if $3 \frac{a}{4} = \frac{15}{4}$ is .

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Solution

The correct option is A 3
Note that $3 \frac{a}{4}$ 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 numerators on both sides, we get $12 + a = 15$

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

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The value of a if 3a4=154 is .

The correct option is A 3Note that 3a4 is a mixed fraction. 3a4= (3×4) +a4= 12 +a4 Given, (12+a)4 = 154 Comparing the numerators on both sides, we get 12+a=15 Therefore, a=(15−12)=3

The value of $a$ if $3 \frac{a}{4} = \frac{15}{4}$ is .

The correct option is A 3
Note that $3 \frac{a}{4}$ 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 numerators on both sides, we get $12 + a = 15$

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