How do you solve $\frac{5}{12} = \frac{x + 1}{4}$ $5/12=(x+1)/4$ ?

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Answer 1 · 2017-02-26T21:30:11

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

Solve:

$\frac{5}{12} = \frac{x + 1}{4}$ $5/12=(x+1)/4$

Cross multiply.

$5 \times 4 = 12 (x + 1)$ $5xx4=12(x+1)$

Simplify.

$20 = 12 x + 12$ $20=12x+12$

Subtract $12$ $12$ from both sides.

$20 - 12 = 12 x$ $20-12=12x$

Simplify.

$8 = 12 x$ $8=12x$

Divide both sides by $12$ $12$ .

$\frac{8}{12} = x$ $8/12=x$

Reduce by dividing the numerator and denominator by $4$ $4$ .

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

Switch sides.

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

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