Application: Solving Division Word Problems with Fractions
Solving division word problems with fractions is a Grade 5 math skill in enVision Mathematics, Chapter 9: Apply Understanding of Division to Divide Fractions. In equal sharing situations, students divide the total amount by the number of shares: size of one share = total / number of shares. Results can be expressed as fractions or mixed numbers depending on whether the total divides evenly.
Key Concepts
To find the amount for a single share in an equal sharing situation, divide the total amount by the number of shares. The result can be expressed as a fraction or a mixed number. $$ \text{Size of one share} = \frac{\text{Total amount}}{\text{Number of shares}} $$.
Common Questions
How do you solve an equal sharing word problem with fractions?
Divide the total amount by the number of shares. Express the result as a fraction or mixed number. For example, 3 pizzas shared equally among 4 people = 3/4 pizza each.
If 5 students share 2 sandwiches equally, how much does each get?
2 / 5 = 2/5 of a sandwich per student.
When do you get a mixed number as an answer to a division problem?
When the numerator is larger than the denominator in the resulting fraction: divide to get the whole number part and express the remainder as a fraction.
Where are division word problems with fractions taught in enVision Grade 5?
Chapter 9: Apply Understanding of Division to Divide Fractions in enVision Mathematics, Grade 5.
How do you express 7 / 3 as a mixed number?
7 / 3 = 2 remainder 1, so the answer is 2 and 1/3.