Arithmetic Reasoning ASVAB

What is 12/60 converted to a percentage? a. 0.20 b. 20% c. 25% d. 12% e. 1.2% - Answer- The fraction 12/60 can be reduced to 1/5 , in lowest terms. First, it must be converted to a decimal. Dividing 1 by 5 results in 0.2. Then, to convert to a percentage, move the decimal point two units to the right and add the percentage symbol. The result is 20%. Which of the following is the correct decimal form of the fraction 14/33 rounded to the nearest hundredth place? a. 0.420 b. 0.14 c. 0.424 d. 0.140 e. 0.42 - Answer- E: If a calculator is used, divide 33 into 14 and keep two decimal places. If a calculator is not used, multiply both the numerator and denominator times 3. This results in the fraction 42/99, and hence an approximate decimal of 0.42. Which of the following represents the correct sum of 14/15 and 2/5? - Answer- B: Common denominators must be used. The LCD is 15, and 2/5 = 6/15 Therefore, 14/15 + 6/15 = 20/15 , and in lowest terms, the answer is A common factor of 5 was divided out of both the numerator and denominator. What is the product of and 5/14 and 7/20? - Answer- A: A product is found by multiplication. Multiplying two fractions together is easier when common factors are cancelled first to avoid working with larger numbers. 5/14 x 7/20 = 5/2x7 x 7/5x4 1/2 x 1/4 = 1/8 What is the result of dividing 24 by 8/5 ? - Answer- D: Division is completed by multiplying by the reciprocal. Therefore: 24 divided 8/5 = 24/1 x 5/8 (3x8)/1 x 5/8 = 15/1 = 15 Subtract 5/14 from 5/24 Which of the following is the correct result? - Answer- C: Common denominators must be used. The LCD is 168, so each fraction must be converted to have 168 as the denominator.