1.15.1 Solving Proportions

Algebra 11.15.1 Solving Proportions

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Warm Up

Solve each of the following proportions:

$\frac{x}{56} = \frac{7}{8}$

Compare your answer:


Cross multiply	$8 x = 7 (56)$
Simplify	$8 x = 392$
Divide both sides by 8	$\frac{8 x}{8} = \frac{392}{8}$
Simplify	$x = 49$

$\frac{56}{72} = \frac{y}{9}$

Compare your answer:


Cross multiply	$56 (9) = 72 y$
Simplify	$504 = 72 y$
Divide both sides by 72	$\frac{504}{72} = \frac{72 y}{72}$
Simplify	$x = 7$

$\frac{98}{154} = \frac{- 7}{p}$

Compare your answer:


Cross multiply	$98 p = - 7 (154)$
Simplify	$98 p = - 1078$
Divide both sides by 98	$\frac{98 p}{98} = \frac{- 1078}{98}$
Simplify	$p = - 11$

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