Section 1
Expressing a Remainder as a Fraction
Property
When a division problem results in a whole number quotient and a remainder , the exact answer can be expressed as a mixed number:
In this Grade 5 Eureka Math lesson from Chapter 20: Fractions as Division, students learn to interpret a fraction as division by connecting expressions like 4 ÷ 3 to the fraction 4/3 and the mixed number 1⅓. Through word problems involving equal sharing, students practice writing division equations, converting improper fractions to mixed numbers, and comparing fractions to determine the greatest quotient. The lesson also reinforces fluency with equivalent fractions, fraction comparison, and converting fractions to decimals.
Section 1
Expressing a Remainder as a Fraction
When a division problem results in a whole number quotient and a remainder , the exact answer can be expressed as a mixed number:
Section 2
Compare Shares in Division Word Problems
To determine the largest share between two different equal sharing scenarios, represent each share as a fraction, , and then compare the resulting fractions.
The larger fraction corresponds to the larger individual share.
Expand to review the lesson summary and core properties.
Section 1
Expressing a Remainder as a Fraction
When a division problem results in a whole number quotient and a remainder , the exact answer can be expressed as a mixed number:
Section 2
Compare Shares in Division Word Problems
To determine the largest share between two different equal sharing scenarios, represent each share as a fraction, , and then compare the resulting fractions.
The larger fraction corresponds to the larger individual share.