CCAT Arithmetic: Fractions, Decimals & Percentages — Questions and Answers
Question 1: What is 3/4 + 5/6?
- 19/12 (Correct answer)
- 8/10
- 4/5
- 7/12
Correct answer: 19/12
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:
- 56 (Correct answer)
- 48
- 60
- 52
Correct answer: 56
35% × 160 = 0.35 × 160 = 56.
Question 3: If 40% of a number is 68, what is the number?
- 170 (Correct answer)
- 160
- 175
- 180
Correct answer: 170
Let n be the number. 0.40 × n = 68, so n = 68 ÷ 0.40 = 170.
Question 4: What is 5/6 ÷ 2/3?
- 5/4 (Correct answer)
- 10/18
- 3/5
- 2/5
Correct answer: 5/4
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?
- 25% (Correct answer)
- 20%
- 15%
- 30%
Correct answer: 25%
Percent increase = (change ÷ original) × 100 = (20 ÷ 80) × 100 = 25%.
Question 6: Express 0.625 as a fraction in lowest terms.
- 5/8 (Correct answer)
- 6/10
- 3/5
- 7/10
Correct answer: 5/8
0.625 = 625/1000. Dividing numerator and denominator by 125 gives 5/8.
CCAT Arithmetic: Fractions, Decimals & Percentages
What is 3/4 + 5/6?