Then cross-multiply the known numerator of one ratio with the known denominator of the other Find the unknown quantities in the following proportions:
Get those ratios equal to form a proportion Then cross multiply to solve for x 4 9 = 20 x 9·20 = 4
This strategy for determining whether a proportion is true is called cross-multiplying because the pattern of the multiplication looks like an “x” or a criss-
Grade 6 Ratios Worksheet Use cross multiplication to solve the following proportions 1 1 6 60 = 2 18
www ck12 Solve Proportions Using Cross Products One neat way to simplify proportions is to cross multiply Consider the following proportion
Therefore, middle school students should develop other, personally-meaningful ways to solve simple proportion problems UNDERSTANDING RATIOS AND PROPORTIONS
MODEL PROBLEM 2 Find the value of n that makes the following proportion true 15 16 = 9 SOLUTION We multiply to find the cross-products:
This leads to the following observation Which of the following is a valid proportion: (a) Cross multiply, then solve the resulting equation