How do you solve $\frac{7}{9 m} = \frac{11}{6}$ $\frac { 7} { 9m } = \frac { 11} { 6}$ ?

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Answer 1 · 2017-06-18T02:23:50

$m = \frac{42}{99}$ $"m"=42/99$

To solve this problem you cross multiply as follows:

$\frac{7}{9 m} = \frac{11}{6}$ $color(blue)7/color(green)(9m)=color(green)11/color(blue)6$

$9 m (11) = 99 m$ $color(green)(9m)color(green)((11))=99"m"$

$7 (6) = 42$ $color(blue)7color(blue)((6))=42$

Set them equal to each other and solve:

$99 m = 42$ $99"m"=42$

$cancel((99)"m")/cancel99=42/99$

$"m"=42/99$

How do you solve \frac { 7} { 9m } = \frac { 11} { 6}79m=116\frac { 7} { 9m } = \frac { 11} { 6}?