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

The correct option is A 33a/4 is a mixed fraction. 3a/4 = nbsp;(3 × 4) +a/4 = nbsp;12 +a/4 Given that(12 +a)/4 = nbsp; 15/4. Comparing the numerator ...

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Standard VII

Mathematics

Types of Fractions

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.

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

Given that $\frac{(12 + a)}{4} =$ $\frac{15}{4} .$
Comparing the numerators, we have
$12 + a = 15.$

$∴ a = 15 - 12 = 3$

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

The correct option is A 33a4 is a mixed fraction. 3a4= (3×4) +a4= 12 +a4 Given that(12 +a)4= 154. Comparing the numerators, we have 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.

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

Given that $\frac{(12 + a)}{4} =$ $\frac{15}{4} .$
Comparing the numerators, we have
$12 + a = 15.$

$∴ a = 15 - 12 = 3$