Fraction/Decimal Ordering and Comparing Quiz

Which fraction makes the statement true? 0.5 > ____

(Hint: There are many ways to solve this, but you can make all your fractions into decimals to compare.)

• 1/2

• 3/5

• 4/10

• 3/4

Answer explanation

To compare the fractions as decimals: 1/2 = 0.5, 3/5 = 0.6 (remember to put 3 in the house and 5 outside the house and divide), 4/10 = 0.4, and 3/4 = 0.75 (think money for this one). Since 0.5 > 0.75 is false, the only fraction that makes the statement true is 3/4, as 0.5 < 0.75.

Tags

CCSS.4.NF.A.2

Put the following numbers in order from least to greatest: 4.56, 4.09, 3.87, 3.95

(Hint: Line up your decimals to compare.)

• 4.56, 4.09, 3.87, 3.95

• 3.87, 3.95, 4.09, 4.56

• 3.95, 3.87, 4.56, 4.09

• 4.09, 3.87, 3.95, 4.56

Answer explanation

To order the numbers, line up the decimals: 3.87, 3.95, 4.09, 4.56. Starting from the smallest, 3.87 is the least, followed by 3.95, then 4.09, and finally 4.56. Thus, the correct order is 3.87, 3.95, 4.09, 4.56.

Tags

CCSS.5.NBT.A.3B

Which number is closest to 0.9?

(Hint: Make all your fractions into decimals and put on the number line.)

• 0.85

• 1/2

• 8/10

• 0.7

Answer explanation

To find the number closest to 0.9, convert the fractions: 1/2 = 0.5, 8/10 = 0.8. Comparing 0.85 (which is 85/100) to 0.9, 0.85 is the closest. Thus, the correct answer is 0.85.

Tags

CCSS.5.NBT.A.3B

Order these fractions from largest to smallest: 2/5, 4/5, 1/5, 3/5

(Hint: When the denominators are the same, just compare the numerators to see which numbers are the largest to the smallest.)

• 1/5, 2/5, 3/5, 4/5

• 4/5, 3/5, 2/5, 1/5

• 2/5, 1/5, 4/5, 3/5

• 3/5, 4/5, 1/5, 2/5

Answer explanation

To order the fractions, compare their numerators since the denominators are the same. The largest numerator is 4 (4/5), followed by 3 (3/5), then 2 (2/5), and the smallest is 1 (1/5). Thus, the order is 4/5, 3/5, 2/5, 1/5.

Tags

CCSS.3.NF.A.3D

Arrange these numbers from smallest to largest: 0.25, 3/8, 0.4, 1/2

(Hint: Change all the fractions to decimals and then put in order the decimals.)

• 0.25, 3/8, 0.4, 1/2

• 0.25, 0.4, 3/8, 1/2

• 3/8, 0.25, 0.4, 1/2

• 0.25, 0.4, 1/2, 3/8

Answer explanation

To compare the numbers, convert the fractions: 3/8 = 0.3 and 1/2 = 0.5. Now we have: 0.25, 0.3, 0.4, 0.5. Arranging these gives: 0.25, 3/8, 0.4, 1/2, which matches the first answer choice.