ACT Math : How to multiply fractions

Study concepts, example questions & explanations for ACT Math

varsity tutors app store varsity tutors android store varsity tutors amazon store varsity tutors ibooks store

Example Questions

Example Question #1 : Operations And Fractions

What value of s makes the equation \frac{7}{s}=\frac{8}{10} true?

Possible Answers:

7.5

8.75

9.25

9.5

9

Correct answer:

8.75

Explanation:

We can simply cross multiply to obtain 70=8s and divide by 8 to solve for s.

Example Question #2 : Operations And Fractions

Simplfiy the following expression;

Possible Answers:

Correct answer:

Explanation:

Multiply the numerators  2 x 6 x 4 = 48. Then multiply the denominators 3 x 8 x 12 = 288.  The answer is 48/288. To simplify, divide both numerator and denominator by 48 to get 1/6.

 

Example Question #3 : Operations And Fractions

Evaluate –3–2 * 2–3.

Possible Answers:

Correct answer:

Explanation:

Because the exponents are negative, we can convert –3–2  to 1/9 and 2–3 to 1/8. We then multiply straight across the top and the bottom, giving you 1/72.

Example Question #4 : Operations And Fractions

Simplify the following into one fraction

Possible Answers:

Correct answer:

Explanation:

To multiply fractions you multiply the entire numerator and the entire denominator together. However, before we do that we can cancel anything from the denominator with anything in the numerator. 

Six cancels with 12

5 cancels with 25 

multiply it all out and get

Learning Tools by Varsity Tutors

Incompatible Browser

Please upgrade or download one of the following browsers to use Instant Tutoring: