Find the value of - if- 3 - -4-13-4

The correct option is A 1 3a/4 is a mixed fraction. 3a/4 = (3 × 4) +a/4 = 12 +a/4 Given, (12 +a)/4 = 13/4 Comparing the numerator gives, 12 + a = 13 There ...

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Standard VII

Mathematics

Inter-Conversion between Improper and Mixed Fraction

Find the valu...

Question

Find the value of a if,

$3 \frac{a}{4} = \frac{13}{4}$

$1$

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$6$

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$3$

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$4$

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Solution

The correct option is A
$1$

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

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

Given, $\frac{(12 + a)}{4} =$ $\frac{13}{4}$
Comparing the numerator gives,
$12 + a = 13$

$Therefore, a = (13 - 12) = 1$

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Find the value of a if, 3a4=134

The correct option is A 1 3a4 is a mixed fraction. 3a4= (3×4) +a4= 12 +a4 Given, (12 +a)4= 134 Comparing the numerator gives, 12+a=13 Therefore, a = (13 - 12) = 1

Find the value of a if,

$3 \frac{a}{4} = \frac{13}{4}$

The correct option is A
$1$

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

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

Given, $\frac{(12 + a)}{4} =$ $\frac{13}{4}$
Comparing the numerator gives,
$12 + a = 13$

$Therefore, a = (13 - 12) = 1$