# Fraction Word Problems

In these lessons, we will learn how to solve fraction word problems using models or block diagrams (Singapore Math).

Word problem involving addition and subtraction of proper unlike fractions. Understand and solve word problems on fractions using the popular model method of Singapore.

Example:
Mala has 1/2 liter of water in a bottle. She drinks 1/3 liter of water from the bottle.
a) How much water is left in the bottle?
b) If she fills another 1/6 liter of water into the bottle, how much water is there in the bottle now?

Example of a word problem involving addition, subtraction and multiplication of fractions and whole numbers. The model method has been used to understand the problem and help derive the solution.

Example:
1/4 of the girls in a class have short hair. 2/3 of the girls in the class have medium-length hair while the rest of the girls in the class have long hair.
a) What fraction of the girls in the class have long hair?
b) If there are 36 girls in a class, how many of them have long hair?

Word problem involving addition of mixed fractions (mixed numbers). Explained using the model method (bar method or bar diagrams).

Example:
Tim started from his home and drove one and one-half hours to meet his uncle with whom he spent three and one-quarter hours. Then he drove 1/5 of an hour to see his grandmother and spent two and one-half hours with her. Finally, he drove back home in one and three-fifths hours. Altogether, how many hours did he spend outside before returning home?

Word problem on multiplication and subtraction of fractions. Explained using Singapore’s model method of problem solving.

Example:
Lily had 4/5 m of cloth. She used 3/4 of it to make handkerchiefs. How much cloth had she left?

Word problem on subtraction and multiplication of fractions solved using models.

Example:
Rose had some rice. She gave 1/4 of it to her sister and cooked 1/6 of the remaining.
a) What fraction of the rice did she cook?
b) If she cooked 1/2 kg of rice, how much rice had she at first?

Fractions word problem involving multiplication of a mixed number by a whole number using the model method.

Example:
A dictionary is 3 and one-third cm thick. Find the height of the stack made by 20 such dictionaries when placed on top of each other.

Word problem to explain the concept of fraction as division and to show relation between fractions and decimals.

Example:
Pam packs 4 kg of onions equally into 10 bags. What is the mass of onions in eack bag?

Word problem to explain addition and division of fractions using models. Also shows the relation between fractions and decimals.

Example:
3/4 kg of candies and 6/7 kg of cookies are shared equally among three children. What is the total mass of candies and cookies that each child gets? Give your answer as a decimal rounded to two decimal places.

Word problem to show how to multiply a fraction and a whole number. Employs Singapore’s model method of problem solving.

Example:
Sam has 260 erasers. He had 3/4 as many sharpeners as erasers. He had 5 times as many markers as sharpeners. How many markers did Sam have?

Example:
Nina is making 5 curtains and 3 cushion covers. She uses two and one-half m of fabric for each curtain and one and one-third m of fabric for each cushion cover. How much fabric does she need altogether? Each meter of fabric costs \$38. How much did Nina spend on the fabric?

Measurement word problem involving fractions.

Example:
Roy and Sandy have the same amount of paint at first. Sandy spills 2/5 of her paint. After Roy uses 1/3 of his paint to paint a wall, he still had 1/3 liter more paint than Sandy. How much paint did Roy and Sandy each had at first?

Word problem to show the application of fractions and operations on fractions in practice. Uses the popular model method of Singapore to understand and solve the problem.

Example:
There 2442 Class A and Class B seats at a concert. 2/3 of the total number of Class A seats is equal to 1/4 of the total number of Class B seats. How many Class A seats are there?

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. 