Math: Word Problems Multi-Step with Fractions and Decimals Worksheet

Question 1

Mia ran 1.25 miles on Monday and 1.5 miles on Tuesday. On Wednesday, she ran 3/4 mile less than the total distance she ran on Monday and Tuesday. How many miles did Mia run on Wednesday?

Accepted Answer

Mia ran 2 miles on Wednesday. First, 1.25 + 1.5 = 2.75 miles. Then 2.75 - 0.75 = 2 miles.

Question 2

A recipe uses 2/3 cup of sugar for one batch of muffins. Elena makes 3 batches, then spills 1/2 cup of the sugar mixture. How much sugar is left in the mixture?

Accepted Answer

There is 1 1/2 cups of sugar left. Three batches use 2 cups of sugar because 2/3 + 2/3 + 2/3 = 2. Then 2 - 1/2 = 1 1/2.

Question 3

Noah had $20.00. He bought a notebook for $3.75 and a pack of pencils for $2.60. Then he gave 1/4 of the money he had left to his sister. How much money did Noah keep?

Accepted Answer

Noah kept $10.24. He spent $3.75 + $2.60 = $6.35, so he had $20.00 - $6.35 = $13.65 left. One fourth of $13.65 is $3.4125, so he kept $13.65 - $3.4125 = $10.2375, which rounds to $10.24.

Question 4

A ribbon is 4.8 meters long. Ava cuts off 1 1/2 meters for a craft and then cuts the remaining ribbon into 3 equal pieces. How long is each piece?

Accepted Answer

Each piece is 1.1 meters long. First, 4.8 - 1.5 = 3.3 meters remain. Then 3.3 ÷ 3 = 1.1 meters.

Question 5

A class has 24 students. One third of the students chose apples for a snack. Of the remaining students, 0.5 chose bananas. How many students chose bananas?

Accepted Answer

Eight students chose bananas. One third of 24 is 8, so 8 students chose apples. That leaves 24 - 8 = 16 students. Half of 16 is 8.

Question 6

Leo is saving for a game that costs $18.50. He has already saved $7.25. He earns $2.75 each week for chores. After 4 weeks, how much more money does he need?

Accepted Answer

Leo needs $0.25 more. In 4 weeks he earns 4 × $2.75 = $11.00. He then has $7.25 + $11.00 = $18.25. The game costs $18.50, so $18.50 - $18.25 = $0.25.

Question 7

A garden has 5 rows of vegetables. Each row is 3.6 meters long. Two fifths of the total row length is planted with carrots. How many meters of rows are planted with carrots?

Accepted Answer

There are 7.2 meters of rows planted with carrots. The total row length is 5 × 3.6 = 18 meters. Two fifths of 18 is 18 ÷ 5 × 2 = 7.2 meters.

Question 8

A water bottle holds 1.2 liters. Sam drinks 1/4 of the bottle in the morning and 0.35 liter in the afternoon. How much water is left in the bottle?

Accepted Answer

There is 0.55 liter of water left. One fourth of 1.2 liters is 0.3 liter. Sam drinks 0.3 + 0.35 = 0.65 liter. Then 1.2 - 0.65 = 0.55 liter.

Question 9

Sofia bought 2.5 pounds of apples and 1 3/4 pounds of oranges. She used 1.2 pounds of the fruit to make a fruit salad. How many pounds of fruit does she have left?

Accepted Answer

Sofia has 3.05 pounds of fruit left. First, 1 3/4 = 1.75. Then 2.5 + 1.75 = 4.25 pounds of fruit. Finally, 4.25 - 1.2 = 3.05 pounds.

Question 10

A rectangular poster is 0.8 meter wide and 1.5 meters long. The art club covers 1/2 of the poster with blue paint and 1/4 of the poster with green paint. What area of the poster is not covered by blue or green paint?

Accepted Answer

The uncovered area is 0.3 square meter. The total area is 0.8 × 1.5 = 1.2 square meters. Blue and green cover 1/2 + 1/4 = 3/4 of the poster, so 1/4 is uncovered. One fourth of 1.2 is 0.3.

Question 11

A baker has 6.5 cups of flour. She uses 2 1/4 cups for bread and 1.75 cups for cookies. How many cups of flour does she have left?

Accepted Answer

The baker has 2.5 cups of flour left. First, 2 1/4 = 2.25. She uses 2.25 + 1.75 = 4 cups. Then 6.5 - 4 = 2.5 cups.

Question 12

A trail is 5 miles long. Priya hikes 1.6 miles before lunch and 2/5 of the whole trail after lunch. How many miles does she still need to hike to finish the trail?

Accepted Answer

Priya still needs to hike 1.4 miles. Two fifths of 5 miles is 2 miles. She hiked 1.6 + 2 = 3.6 miles. Then 5 - 3.6 = 1.4 miles.

Question 13

Ethan had 3.75 yards of string. He used 1/2 yard for one project and 0.9 yard for another project. Then he divided the rest equally among 4 friends. How much string did each friend get?

Accepted Answer

Each friend got 0.5875 yard of string. Ethan used 0.5 + 0.9 = 1.4 yards. He had 3.75 - 1.4 = 2.35 yards left. Then 2.35 ÷ 4 = 0.5875 yard.

Question 14

A school collected 12.4 kilograms of cans on Monday. On Tuesday, the school collected 3/4 as much as on Monday. On Wednesday, it collected 2.6 kilograms more than Tuesday. How many kilograms of cans did the school collect on all three days?

Accepted Answer

The school collected 33.6 kilograms of cans. Tuesday's amount was 3/4 of 12.4, which is 9.3 kilograms. Wednesday's amount was 9.3 + 2.6 = 11.9 kilograms. The total was 12.4 + 9.3 + 11.9 = 33.6 kilograms.

Question 15

A movie starts at 2:15 p.m. and lasts 1 1/2 hours. After the movie, Lily spends 0.75 hour eating a snack and 20 minutes walking home. What time does Lily get home?

Accepted Answer

Lily gets home at 5:00 p.m. The movie ends at 3:45 p.m. because 1 1/2 hours is 1 hour 30 minutes. The snack takes 0.75 hour, which is 45 minutes, so it ends at 4:30 p.m. After 20 more minutes, she gets home at 4:50 p.m.

Math: Word Problems Multi-Step with Fractions and Decimals

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