Question

How do I write 3 2/3x = 2/7 without fractions?

Answer 1

Explanation:

3 2/3x = 2/7

11/3 x = 2/7

Multiply through by 21:

77x = 6

Answer 2

let's firstly convert the mixed fraction to improper fractions.

`\stackrel{mixed}{3(2)/(3)}\implies \cfrac{3\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{11}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{11}{3}x=\cfrac{2}{7}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{21}}{21\left( \cfrac{11}{3}x \right)=21\left( \cfrac{2}{7} \right)}\implies 77x=6`