# How do you solve 3x/4 = 6/7?

Aug 10, 2016

$x = \frac{6}{7}$ or perhaps (x =8/7)??

The format of the question is strange

#### Explanation:

The format of the question is strange because we usually do not work with mixed numbers in Algebra. (possibly a typo)

$3 \frac{x}{4} = \frac{6}{7}$

If is correct like this we will first change to an improper fraction:

$\frac{4 \times 3 + x}{4} = \frac{6}{7} \text{ "rArr" } \frac{12 x}{4} = \frac{6}{7}$

Cross multiplying gives: $84 x = 24$

$x = \frac{24}{84} = \frac{2}{7}$
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The question may have been meant as:

$\frac{3 x}{4} = \frac{6}{7}$

Cross multiplying gives

$21 x = 24$

$x = \frac{24}{21} = \frac{8}{7}$