Question

How do you simplify `\frac { 17} { 14} - ( \frac { 3} { 2} \times \frac { 5} { 7} )`?

Answer 1

`1/7`

Explanation:

To multiply fractions, simply multiply across the numerators, then across the denominators.

`3/2xx5/7 = 15/14`

To subtract fractions with common denominators, subtract the numerators. The denominator stays the same.

`17/14-15/14 = 2/14`

Simplify.

`2/14 = (cancel(2)(1))/(cancel(2)(7)) = 1/7`