How do you solve $\frac{6}{a} = \frac{3}{8}$ $6/a=3/8$ ?

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How do you solve $\frac{6}{a} = \frac{3}{8}$ $6/a=3/8$ ?

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Answer 1 · 2017-01-03T21:35:51

$\frac{6}{a} = \frac{3}{8}$ $frac{6}{a}=3/8$

Multiply each side by $a$ $a$ :
$6 = \frac{3}{8} a$ $6=3/8a$

Isolate $a$ $a$ by multiplying each side by the reciprocal of $\frac{3}{8}$ $3/8$ :
$6 \cdot (\frac{8}{3}) = a$ $6*(8/3)=a$

$a = 16$ $a=16$

Answer 2 · 2017-01-03T21:38:08

Multiply each side of the equation by the lowest common denominator to eliminate the fractions and then solve for $a$ $a$ . See full solution process below.

Explanation:

First, multiply each side of the equation by the lowest common denominator (in this case $8 a$ $color(red)(8)color(blue)(a)$ )to eliminate the fractions and keep the equation balanced:

$\frac{6}{a} \times 8 a = \frac{3}{8} \times 8 a$ $6/color(blue)(a) xx color(red)(8)color(blue)(a) = 3/color(red)(8) xx color(red)(8)color(blue)(a)$

$6/cancel(color(blue)(a)) xx color(red)(8)cancel(color(blue)(a)) = 3/cancel(color(red)(8)) xx cancel(color(red)(8))color(blue)(a)$

$6 xx color(red)(8) = 3color(blue)(a)$

$48 = 3color(blue)(a)$

We can now divide each side of the equation by $color(red)(3)$ to solve for $a$ and keep the equation balanced:

$48/color(red)(3) = (3color(blue)(a))/color(red)(3)$

$16 = (color(red)(cancel(color(black)(3)))color(blue)(a))/cancel(color(red)(3))$

$16 = a$

or

$a = 16$

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