All ACT Math Resources
Example Question #1 : Operations And Fractions
What value of makes the equation true?
We can simply cross multiply to obtain and divide by 8 to solve for .
Example Question #2 : Operations And Fractions
Simplfiy the following expression;
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.
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
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