Question

Multiply 9/14x2/15

Answer 1

18/210

Answer 2

3/28

Answer 3

\(\frac{9}{14} \cdot \frac{2}{15} = \frac{3 \cdot 3}{7 \cdot 2} \cdot \frac{2}{3\cdot 5} = \frac{3}{7 \cdot 35} = \frac{3}{35}\)

Answer 4

i wonder why the latex isn't working for me
is it working for you guys?

Answer 5

Well that failed.

The trick to this problem is to cancel common factors in the numerator and denominator.

9/14 = (3*3)/(7*2)
and
2/15 = 2/(3*5)

When multiplying fractions, we multiply the numerators times the numerators and the denominators times the denominators, and cancel like factors wherever they appear:

(3*3*2)/(7*2*3*5)

Notice that we have a 3 and a 2 canceling which leaves us with:

3 / (7*5) which is just 3/35.