Webmath.com: Doing math with fractions
The problem here is to multiply and

This problem can be solved by multiplying together the two numerators (the 5 and 2),
giving 10, which will be the numerator in our answer.

Also, we'll multiply together the two denominators (the 7 and 10),
giving 70, which will be the denominator in our answer.

Doing so, we get an answer of

The fraction is not reduced to lowest terms. We can reduce this fraction to lowest
terms by dividing both the numerator and denominator by 10.

Why divide by 10? 10 is the Greatest Common Divisor (GCD)
or Greatest Common Factor (GCF) of the numbers 10 and 70.
So, this fraction reduced to lowest terms is

The final answer is: