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Overview
7th Grade Math
1. 7.RP.A.1
1.1 Rates with fractions
Unit Rates with Fractions
Master finding unit rates when the quantities you compare are fractions, including complex fractions, using a simple dividing method.
What You'll Learn
Identify a rate as a comparison of two quantities measured in different units, such as miles to hours.
Rewrite a rate with fractions as a division problem before simplifying.
Simplify a complex fraction by multiplying the top fraction by the reciprocal of the bottom fraction.
Calculate a unit rate by dividing the numerator fraction by the denominator fraction so the second quantity becomes 1.
Apply cross-simplifying to cancel common factors before multiplying, keeping numbers small.
Check an answer by estimating whether the unit rate makes sense compared to the original quantities.
What You'll Practice
1
Finding time to complete tasks given fractional progress
2
Calculating price changes with fractional decreases over multiple periods
3
Solving ratio problems involving fractions of quantities
4
Working with word problems about consumption rates with fractions
Why This Matters
Rates with fractions appear constantly in real lifefrom calculating cooking times, understanding sale discounts, to measuring work progress. Mastering this skill helps you solve practical problems involving partial amounts and prepares you for advanced algebra and proportional reasoning.
This Unit Includes
5 Video lessons
Learning resources
Skills
Rates
Fractions
Ratios
Proportions
Division with Fractions
Reciprocals
Word Problems
OH Curriculum Aligned