Fractions Mixed Operations Word Problems for Class 5

Solve the following word problems.

1. A recipe for a large cake requires $2\dfrac{1}{2}$ cups of flour. A recipe for a batch of muffins requires ¾ of the amount of flour needed for the cake. If Aisha wants to bake one cake and one batch of muffins, how much flour does she need in total?

Answer: ____________________

2. Krish had a long ribbon that was 15 metres long. He used $\dfrac{1}{3}$ of the ribbon to wrap a birthday gift and then gave $\dfrac{1}{2}$ of the *remaining* ribbon to his sister for her craft project. What is the length of the ribbon Krish has left?

Answer: ____________________

3. In a school library, $\dfrac{1}{4}$ of the books are fiction, and $\dfrac{1}{5}$ are science. The rest of the books are on history. If there are 400 books in total in the library, how many books are for history?

Answer: ____________________

4. A water tank in a house was $\dfrac{4}{5}$ full. The family used $\dfrac{1}{2}$ of the water in the tank for washing and cleaning. Then, they added more water, which filled $\dfrac{1}{4}$ of the tank's total capacity. What fraction of the tank is full now? (Choose the correct option)

     a) 9/20

     b) 11/20

     c) 13/20

     d) 3/5

5. An artist has 6 litres of red paint. She uses $\dfrac{1}{3}$ of it to paint a sunset. Then, she mixes the remaining red paint with $1\dfrac{1}{2}$ litres of yellow paint to create a new orange shade. The total amount of orange paint she has is ______ litres. (Fill in the blank)

6. A farmer has a field of 20 acres. He plants wheat on $\dfrac{2}{5}$ of the field and corn on ½ of the remaining area. The area planted with corn is 6 acres. (True or False?)

Answer: ____________________

7. A long-distance runner plans to run 30 km. In the first hour, he runs $\dfrac{2}{5}$ of the total distance. In the second hour, he runs $\dfrac{2}{3}$ of the remaining distance. How many kilometres does he still have to run?

Answer: ____________________

8. A chef bought 5 kg of potatoes. He used $1\dfrac{1}{2}$ kg to make fries and $2\dfrac{1}{4}$ kg to make a curry. He has more than $1\dfrac{1}{2}$ kg of potatoes left. (True or False?)

Answer: ____________________

9. A group of friends bought a pizza cut into 12 slices. They ate $\dfrac{3}{4}$ of the pizza. If each friend ate 3 slices, how many friends were there?

Answer: ____________________

10. Sameer spent $\dfrac{1}{6}$ of his day sleeping and $\dfrac{1}{4}$ of his day at school. He spent $\dfrac{1}{8}$ of the remaining time playing football. What fraction of the entire day did he spend playing football? (Choose the correct option)

     a) 7/12

     b) 1/8

     c) 5/48

     d) 7/96

Answer Key

1. Flour for muffins = $\dfrac{3}{4}$ of $2\dfrac{1}{2}$ cups = $\dfrac{3}{4}$ × $\dfrac{5}{2}$ = $\dfrac{15}{8}$ cups.
Total flour = $2\dfrac{1}{2}$ (for cake) + $\dfrac{15}{8}$ (for muffins) = $\dfrac{5}{2}$ + $\dfrac{15}{8}$ = $\dfrac{20}{8}$ + $\dfrac{15}{8}$ = $\dfrac{35}{8}$ = $4\dfrac{3}{8}$ cups.

2. Ribbon used for gift = $\dfrac{1}{3}$ of 15 m = 5 m.
Remaining ribbon = 15 m - 5 m = 10 m.
Ribbon given to sister = $\dfrac{1}{2}$ of 10 m = 5 m.
Ribbon left = 10 m - 5 m = 5 metres.

3. Fraction of fiction and science books = $\dfrac{1}{4}$ + $\dfrac{1}{5}$ = $\dfrac{5}{20}$ + $\dfrac{4}{20}$ = $\dfrac{9}{20}$.
Fraction of history books = 1 - 9/20 = 11/20.
Number of history books = 11/20 of 400 = (11/20) × 400 = 11 × 20 = 220 books.

4. The correct option is c) 13/20.
Water in tank initially = $\dfrac{4}{5}$.
Water used = $\dfrac{1}{2}$ of $\dfrac{4}{5}$ = $\dfrac{1}{2}\times \dfrac{4}{5}$ = $\dfrac{4}{10}$ = $\dfrac{2}{5}$.
Water remaining = $\dfrac{4}{5}-\dfrac{2}{5}=\dfrac{2}{5}$.
Water added = $\dfrac{1}{4}$.
New amount of water = $\dfrac{2}{5}+ \dfrac{1}{4}$ = $\dfrac{8}{20} + \dfrac{5}{20}$ = $\dfrac{13}{20}$.

5. Red paint used = $\dfrac{1}{3}$ of 6 L = 2 L.
Red paint remaining = 6 L - 2 L = 4 L.
Total orange paint = 4 L (red) + 1 ½ L (yellow) = 5 ½ litres.

6. The statement is True.
Area for wheat = $\dfrac{2}{5}$ of 20 acres = $(\dfrac{2}{5})$ × 20 = 8 acres.
Remaining area = 20 - 8 = 12 acres.
Area for corn = $\dfrac{1}{2}$ of 12 acres = 6 acres.

7. Distance run in first hour = $\dfrac{2}{5}$ of 30 km = 12 km.
Remaining distance = 30 - 12 = 18 km.
Distance run in second hour = $\dfrac{2}{3}$ of 18 km = 12 km.
Distance still to run = 18 - 12 = 6 km.

8. The statement is False.
Total potatoes used = 1 ½ + 2 ¼ = 3/2 + 9/4 = 6/4 + 9/4 = 15/4 = 3 ¾ kg.
Potatoes left = 5 - 3 ¾ = 20/4 - 15/4 = 5/4 = 1 ¼ kg.
1 ¼ kg is not more than 1 ½ kg.

9. Slices eaten = $\dfrac{3}{4}$ of 12 = $(\dfrac{3}{4})$ × 12 = 9 slices.
Number of friends = Total slices eaten / Slices per friend = 9 / 3 = 3 friends.

10. The correct option is d) $\dfrac{7}{96}$.
Fraction of day spent sleeping and at school = 1/6 + 1/4 = 2/12 + 3/12 = 5/12.
Fraction of day remaining = 1 - 5/12 = 7/12.
Fraction of day spent playing football = 1/8 of 7/12 = (1/8) × (7/12) = 7/96.

How Mixed Operations Word Problems Help Class 5 Students Master Fractions

Working on this Class 5 Maths Fractions Mixed Operations Word Problems worksheet, learners tackle everyday math challenges with fractions. Students strengthen their understanding of adding, subtracting, multiplying, and dividing fractions through relatable word problems. 

This practice boosts confidence in applying fractions to real situations, a key skill in Class 5 Maths. Parents and kids often search for fraction sums with answers, and this worksheet meets that need perfectly.

Improve Quick Thinking with Mixed Fractions Activities

This worksheet helps Class 5 students master their Maths skills by offering a mix of fraction operations in engaging context-based questions. Learners improve mental math as they solve different types of word problems under the "Fractions Mixed Operations" topic. 

Regular use prepares students for school exams and daily life. Parents looking for "Maths fraction word problems Class 5 PDF" will find this resource useful for structured and fun practice.