MDTP Fractions and Rational Numbers 1

Question 1

What is 3/4 + 5/6?

Accepted Answer

19/12

Answer

Finding a common denominator of 12: 9/12 + 10/12 = 19/12.

Question 2

Simplify: 18/24

Accepted Answer

3/4

Answer

GCF of 18 and 24 is 6; 18 ÷ 6 = 3 and 24 ÷ 6 = 4, so the simplified form is 3/4.

Question 3

What is 5/8 × 4/3?

Accepted Answer

5/6

Answer

5/8 × 4/3 = 20/24 = 5/6 after dividing numerator and denominator by 4.

Question 4

Which fraction is greater: 7/9 or 5/7?

Accepted Answer

7/9

Answer

Cross-multiplying: 7 × 7 = 49 and 5 × 9 = 45; since 49 > 45, 7/9 > 5/7.

Question 5

Convert 2 3/5 to an improper fraction.

Accepted Answer

13/5

Answer

2 × 5 + 3 = 13, so the improper fraction is 13/5.

MDTP - Mathematics Diagnostic Testing Project Practice Test