How do you solve $\frac{x}{4} = \frac{3}{2}$ $x/4=3/2$ ?

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Answer 1 · 2016-12-23T02:23:52

$x = 6$ $x=6$

We can do this a couple of ways.

One way is to cross multiply:

$\frac{x}{4} = \frac{3}{2}$ $x/4=3/2$

$2 x = 3 \times 4$ $2x=3xx4$

$x = \frac{12}{2}$ $x=12/2$

$x = 6$ $x=6$

Another way is to notice that the denominator on the left is twice as big as the right, so we can adjust the right side this way:

$\frac{x}{4} = \frac{3}{2}$ $x/4=3/2$

$\frac{x}{4} = \frac{3}{2} (1)$ $x/4=3/2(1)$

$\frac{x}{4} = \frac{3}{2} (\frac{2}{2})$ $x/4=3/2(2/2)$

$\frac{x}{4} = \frac{3 \times 2}{2 \times 2}$ $x/4=(3xx2)/(2xx2)$

$\frac{x}{4} = \frac{6}{4}$ $x/4=6/4$

So we can see that $x = 6$ $x=6$

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