Rational Numbers — Practice

Question 1

Express 24/36 in standard form.

Accepted Answer

Divide by HCF 12: 24/36 = 2/3.

Question 2

Compare -7/15 and -9/20.

Accepted Answer

LCM of 15 and 20 = 60. -7/15 = -28/60, -9/20 = -27/60. Since -28/60 < -27/60, we get -7/15 < -9/20.

Question 3

Add: 5/12 + (-7/18).

Accepted Answer

LCM of 12 and 18 = 36. 5/12 = 15/36, -7/18 = -14/36. Sum = 15/36 - 14/36 = 1/36.

Question 4

Multiply: (-9/14) x (28/27).

Accepted Answer

(-9 x 28)/(14 x 27) = -252/378 = -2/3 after simplification.

Question 5

Find three rational numbers between 1/5 and 2/5.

Accepted Answer

Write 1/5 = 4/20 and 2/5 = 8/20. Three numbers between: 5/20 = 1/4, 6/20 = 3/10, and 7/20.

Practice — Rational Numbers