Question

Rewrite the equation below so that it does not have fractions four -4/9 times equals two over three do not use decimals in your answer please help me I’ll give you 10 points

Answer 1

The equation is 36 - 4x = 6.

Solution:

To write the equation without fraction.

$4-\frac{4}{9} x=\frac{2}{3}$

$\frac{4}{1} -\frac{4}{9} x=\frac{2}{3}$

The denominators must be same to add/subtract the fractions.

LCM of 1, 9 and 3 = 9.

Multiply first term by $\frac{9}{9}$ and $\frac{2}{3}$ by $\frac{3}{3}$ to make the denominator same.

$\frac{4\times9}{1\times9} -\frac{4}{9} x=\frac{2\times3}{3\times3}$

$\frac{36}{9} -\frac{4}{9} x=\frac{6}{9}$

$\frac{36-4x}{9} =\frac{6}{9}$

Multiply by 9 on both sides.

$\frac{36-4x}{9}\times9 =\frac{6}{9}\times9$

Both 9 in the numerator and denominator get canceled.

36 - 4x = 6

This term does not have fraction.

Hence the equation is 36 - 4x = 6.