Question

Can you please help me with solving this math problem. 1/4 (x+2)=5/6

Answer 1

So firstly, multiply both sides by 4 (the reciprocal of 1/4): $x+2=\frac{20}{6}=3\frac{2}{6}$

Next, subtract both sides by 2 and your answer will be: $x=1\frac{2}{6}$

Answer 2

$\frac{1}{4} (x + 2) = \frac{5}{6} \\ \frac{1}{4} x + \frac{2}{4} = \frac{5}{6} \\ \frac{1}{4} x \: = \frac{5}{6 } - \frac{2}{4} \\ \frac{1}{4} x = \frac{10}{12} - \frac{6}{12} \\ \frac{1}{4} x = \frac{4}{12} \\ x = \frac{4}{12} \div \frac{1}{4} \\ x = \frac{16}{12} \\ x \: = \frac{4}{3}$