# How do you solve \frac { 1} { 51} + x = \frac { 2} { 17}?

Mar 4, 2018

$x = \frac{5}{51}$

#### Explanation:

Before we add or subtract some terms, we need to make our fractions have a common denominator. We can multiply the numerator and denominator in $\frac{2}{17}$ by $3$ to get $\frac{6}{51}$. Now, we have:

$\frac{1}{51} + x = \frac{6}{51}$

Now, we can subtract $\frac{1}{51}$ from both sides to get:

$x = \frac{5}{51}$

NOTE: We can multiply the numerator and denominator both by $3$ because this is essentially multiplying the fraction by $1$. It does not change the meaning of the expression.