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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
Solve proportions using cross products Introduction One neat way to simplify proportions is to cross multiply Solve the following proportion for x 0 5 3 = 56
to the product of the denominator of fraction A and the numerator of fraction B 2 5 = 4 10 Find the cross products of the proportion above K Coners, 2015
Cross-multiplication is useful because if you know three of the quantities in a Find the unknown quantities in the following proportions: 21 63 ? 21 ܢܢ ܚ
To determine if a proportion compares equal ratios or not, you can follow To cross multiply, you multiply the numerator of the first ratio in the proportion by the
To solve the proportion 1) cross multiply the ratios, 2) write an equation; and 3) solve for the variable the following way: 2 tbs is to 6 oz as x tbs is to 48 oz