Grade 5Math

Comparing and Finding Equivalent Fractions

Comparing and Finding Equivalent Fractions is a Grade 5 math skill in Eureka Math covering how to create equivalent fractions by multiplying numerators and denominators by the same number to find common denominators for comparison. Students practice this foundational skill in Chapter 19: Line Plots of Fraction Measurements to accurately read and compare fractional measurements.

Key Concepts

To create an equivalent fraction, multiply the numerator and the denominator by the same non zero number. This process is used to find a common denominator, which allows for the comparison of fractions. $$\frac{a}{b} = \frac{a \times n}{b \times n}$$.

Common Questions

How do you find equivalent fractions in 5th grade?

Multiply both the numerator and denominator of a fraction by the same non-zero number to create an equivalent fraction. For example, 1/2 = 4/8 by multiplying both parts by 4.

Why do we need equivalent fractions to compare fractions?

When fractions have different denominators, you must rewrite them with a common denominator before comparing. Equivalent fractions let you make this conversion while keeping the same value.

What is the Eureka Math Grade 5 Chapter 19 skill about?

Chapter 19 focuses on Line Plots of Fraction Measurements, where students use equivalent fractions to read rulers with 1/2, 1/4, and 1/8 inch marks and accurately place fractional values on number lines.

How does comparing fractions help with line plots?

Line plots use fractional measurements, so students must compare and order fractions to place data points correctly. Finding equivalent fractions with common denominators makes this process accurate.