CCAT Arithmetic: Fractions, Decimals & Percentages

Question 1

What is 3/4 + 5/6?

Accepted Answer

19/12

Answer

Find a common denominator: LCM(4,6) = 12. Convert: 3/4 = 9/12 and 5/6 = 10/12. Sum = 19/12.

Question 2

35% of 160 equals:

Accepted Answer

56

Answer

35% × 160 = 0.35 × 160 = 56.

Question 3

If 40% of a number is 68, what is the number?

Accepted Answer

170

Answer

Let n be the number. 0.40 × n = 68, so n = 68 ÷ 0.40 = 170.

Question 4

What is 5/6 ÷ 2/3?

Accepted Answer

5/4

Answer

Dividing by a fraction means multiplying by its reciprocal: 5/6 × 3/2 = 15/12 = 5/4.

Question 5

A jacket's price rises from $80 to $100. What is the percent increase?

Accepted Answer

25%

Answer

Percent increase = (change ÷ original) × 100 = (20 ÷ 80) × 100 = 25%.

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