Fraction Skills Quiz (Pre-test)

Answer explanation

To compare fractions, find a common denominator. Here, the common denominator is 12. Convert both fractions to have a denominator of 12: 3/4 = 9/12 and 2/3 = 8/12. Since 9/12 is greater than 8/12, 3/4 is larger.

Answer explanation

To find the total sugar used, add Michael's and Evelyn's amounts: 5/8 + 3/8 = 8/8. Therefore, they used 8/8 cup of sugar in total.

Answer explanation

To subtract fractions with the same denominator, simply subtract the numerators. So, 7/10 - 3/10 = 4/10. Therefore, the correct answer is 4/10.

Answer explanation

To multiply a fraction by a whole number, simply multiply the numerator of the fraction by the whole number. In this case, 3 * 2 = 6, so the answer is 6/5.

Answer explanation

To divide 4/9 by 2/1, we multiply by the reciprocal of the divisor. So, 4/9 ÷ 2/1 = 4/9 * 1/2 = 4/18. Therefore, each friend will get 4/18 of the chocolate bar.

Answer explanation

To compare fractions, find a common denominator. Both fractions have a denominator of 6, so compare the numerators. 4/5 is smaller than 5/6 because 4 is less than 5.

Answer explanation

Benjamin ate 1/4 of the pizza and Abigail ate 2/4 of the pizza, which adds up to 3/4 of the pizza eaten together.

Answer explanation

To subtract fractions with the same denominator, subtract the numerators. 9/12 - 5/12 = 4/12. Therefore, the correct answer is 4/12.

Answer explanation

To multiply fractions, multiply the numerators together and the denominators together. Here, 4/1 * 3/7 = (4*3)/(1*7) = 12/7. Therefore, the correct answer is 12/7.

Answer explanation

To divide fractions, multiply by the reciprocal of the divisor. So, \(\frac{5}{8} \div \frac{5}{1} = \frac{5}{8} \times \frac{1}{5} = \frac{5}{40}\). Therefore, the correct answer is \(\frac{5}{40}\).