Common Core Math Grade 7 Ratios Involving Complex Fractions

Ratios (including rates, ratios, proportions, and percents) are commonplace in everyday life and critical for further study in math and science. In Grade 7, students extend the concepts of unit rate developed in Grade 6 to applications involving complex fractions. They transition from solving problems primarily with visual models to applying familiar algorithms. This lesson focuses on solving unit-rate problems that involve complex fractions. Students model real-world situations that involve ratios with fractions in the numerator and/or denominator. They learn to connect the process of simplifying complex fractions with the algorithm for the division of fractions. They learn how to interpret simplified ratios as unit rates to solve real-world problems.
Aligned with Common Core Standard 7.RP.A.1