Question

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

Answer 1

`x=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 `2/17` by `3` to get `6/51`. Now, we have:

`1/51+x=6/51`

Now, we can subtract `1/51` from both sides to get:

`x=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.