Question

What is m?\div \frac{2}{3} = 7" alt="3m \div \frac{2}{3} = 7" align="absmiddle" class="latex-formula">
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Answer 1

Answer:

In the  given expression, the value of m = 14/9

Step-by-step explanation:

Here, the given expression is $3m \div \frac{2}{3} = 7$

Now, by the rule of ALGEBRA:

A ÷  B   = $A \times \frac{1}{B}$

Similarly here:

$3m \div \frac{2}{3} = 7 \implies 3m \times \frac{3}{2} = 7\\\implies 3m = \frac{7 \times 2}{3} = \frac{14}{3} \\or, m = \frac{14}{3} \times\frac{1}{3} \\\implies m = \frac{14}{9}$

Hence, in the  given expression, the value of m = 14/9