Ordering and Comparing
Compare these two fractions using <, >, or =: 1/4 and 3/4
1/4 < 3/4 (One-fourth is less than three-fourths)
Solve 2/5 + 1/5
2/5 + 1/5 = 3/5
Solve 3 x 1/4
3 x 1/4 = 3/4
Write 7/10 as a decimal.
0.7
Find an equivalent fraction for 1/2 using a denominator of 10.
5/10
Which fraction is greater: 1/2 or 1/3?
1/2 (When numerators are the same, the smaller denominator means larger pieces)
Solve 2 - 3/8
2 - 3/8 = 13/8 (2 = 16/8; so 16/8-3/8= 13/8 or 1 5/8)
Write 5 x 1/3 as a mixed number.
1 2/3 (total is 5/3)
Write 45/100 as a decimal.
0.45
Are 2/3 and 4/6 equivalent? Explain why.
Yes (Both the numerator and denominator were multiplied by 2; 2/3 x 2/2 = 4/6)
Use a benchmark like 0, 1/2, or 1 to compare 4/10 and 6/8.
4/10 < 6/8 (4/10 < 1/2; 6/8 > 1/2)
Decompose the fraction 3/4 in two different ways.
1/4 + 1/4 + 1/4 and 1/4 + 2/4 (or 1/2)
If a recipe calls for 2/3 cup of sugar and you want to triple the recipe, how much sugar do you need?
2 cups (or 6/3; since 3 x 2/3 is 6/3 = 2)
Compare these two decimals using <, >, or =: 0.6 and 0.06
0.6 > 0.06 (six tenths or 6/10 is greater than six hundredths or 6/100)
Find the missing numerator: 3/4 = ?/12.
9 (3/4 x 3/3 = 9/12)
Put these fractions in order from least to greatest: 1/2, 2/3, 4/10, 4/5.
4/10, 1/2, 2/3, 4/5
Solve 1 1/4 + 2 2/4
1 1/4 + 2 2/4 = 3 3/4
Solve 6 x 3/8
6 x 3/8 = 18/8 (or 2 2/8, or 2 1/4)
Solve this sum by converting to a common denominator: 3/10 + 20/100
50/100 or 5/10 (3/10 = 30/100 and 30/100 + 20/100 = 50/100 = 5/10)
Which of these fractions is NOT equivalent to 1/4: 2/8, 3/12, 4/15?
4/15 (1/4 x 4/4 = 4/16)
Create a fraction that is equivalent to 1/2 but has a denominator of 12. Then, compare it to 7/12.
6/12; 6/12 < 7/12
Sarah ran 5/10 of a mile on Monday and 3/10 of a mile on Tuesday. How much further does she need to run to reach a total of 1 full mile?
2/10 of a mile (since 5/10 + 3/10 = 8/10 and 10/10 - 8/10 = 2/10)
A juice box holds 1/5 of a liter. How many liters are in 7 juice boxes? Express your answer as a mixed number.
1 2/5 liters (or 7/5 liters)
Point A is located at 0.72 on a number line. Is Point A closer to 0.7 or 0.8?
0.7 (It is only 2 hundredths away from 0.70)
Write two different fractions that are equivalent to 10/100.
1/10 and 20/200 (or similar)