How do you solve #\frac { 14} { 43} \times \frac { 70} { 215}#?

Question

1148 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-06-13T23:24:32

#\frac (196)(1849)#

I would start by trying to reduce the fractions. With multiplication you can reduce any top with any bottom as long as they have the a common factor.

The second fraction has a common factor of 5. Divide both 70 and 215 by 5.

The equation now look like
#\frac { 14} { 43} \times \frac { 14} { 43}#

Double check that nothing can be further reduced...nope.

Now just multiply the numerators (the tops,) this will be the numerator of your answer.

#14 times 14 = 196#

Multiply the bottom numbers to get your new denominator
# 43 times 43 =1849#

Now rewrite your fraction:

#\frac (196)(1849)#