Question

question what is the value of x in the equation $\frac{2}{3}=x + \frac{1}{5}$? a $\frac{1}{3}$ b $\frac{7}{15}$ c $2x$ d $\frac{13}{15}$

Explanation:

Step1: Isolate x

Subtract $\frac{1}{5}$ from both sides of the equation $x+\frac{1}{5}=\frac{2}{3}$.
$x=\frac{2}{3}-\frac{1}{5}$

Step2: Find a common - denominator

The common denominator of 3 and 5 is 15. Rewrite the fractions.
$x = \frac{2\times5}{3\times5}-\frac{1\times3}{5\times3}=\frac{10}{15}-\frac{3}{15}$

Step3: Subtract the fractions

$x=\frac{10 - 3}{15}=\frac{7}{15}$

Answer:

B. $\frac{7}{15}$