Remember: Say about how much first. Then cut to one bottom (or multiply across), work it out, and check it against your estimate.
Estimate, then work it out
1
Sam walks 3/4 mile to the park. Then he walks 1/8 mile more to the shop. About how far does he walk?
about 1about 1/2about 2
2
A painter has 5/6 gallon of paint and uses 1/3 gallon. How much paint is left? gallon
3
Rosa hikes 2/3 mile and then 1/4 mile more. How far does she hike in all? mile
4
2/5 + 1/2 = 3/7
TrueFalse
5
7/8 − 1/4 = 5/8
TrueFalse
Bigger stories
6
Dan has 3/4 of a pie left. He eats 1/2 of what is left. What fraction of the whole pie does he eat?
7
Ana has 5/6 pound of grapes. She gives 3/5 of them to a neighbor. How many pounds does she give? pound
8
A trail is 6 7/8 miles long. A family hikes 1/3 of it. About how far do they hike?
about 7about 2about 3 1/2
9
A board is 5 1/4 feet long. Sam cuts off 2 1/2 feet. How long is the board now?
3 1/4 feet2 1/4 feet2 3/4 feet
10
Tia pours 1 3/8 cups of milk and then 2 1/2 cups more. How much milk is that in all?
4 1/8 cups3 7/8 cups3 4/8 cups
11
Join each story to the operation that solves it.
1A runner goes 1/2 mile and then 1/3 mile more
2A tank is 3/4 full and 1/4 of the tank is used
3Lee gives away 2/3 of his 3/4 pound of nuts
Aadd
Bsubtract
Cmultiply
12
Put the steps for 3/4 − 1/3 in order.
Subtract the tops: 9 − 4 = 5, so the difference is 5/12
Check that 5/12 is close to the estimate
Cut both fractions into twelfths: 9/12 and 4/12
Say about how much: a bit less than 1/2
13
Write a story problem that 2/3 × 1/2 fits. Solve it, then check the size of your answer.
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