Big Ideas Math: Modeling Real Life, Grade 7
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Big Ideas Math: Modeling Real Life, Grade 7 View details
1. Ratios and Ratio Tables
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Exercise 17 Page 188

Use the portion where both values are known.

Feet 1/24 1/12 1/8 1/48
Inches 1/2 1 3/2 1/4

Equivalent Ratios: 124: 12, 112:1, 18: 32, and 148: 14

Practice makes perfect

We want to complete a table. We can use the portion where both values are known to find the missing values.

Feet 1/24 1/8
Inches 1/2 1 1/4

We know that 124 feet is the same as 1/2 inches. Let's write this as a ratio. 124feet/12inches or 124/12We will use this rate to find the missing values.

First Value

We can find an equivalent ratio with a denominator of 1 to find how feet are the same as 1 inch.

124/12
124* 2/12* 2
112/1

We found that 112 feet is the same as 1 inch.

Feet 1/24 1/12 1/8
Inches 1/2 1 1/4

Second Value

Now, we can find an equivalent ratio with a numerator of 18 to find how many inches are in 18 feet.

124/12
124* 3/12* 3
18/32

We found that 18 feet is the same as 32 inches.

Feet 1/24 1/12 1/8
Inches 1/2 1 3/2 1/4

Third Value

Now, we can find an equivalent ratio with a denominator of 14 to find how many feet are the same as 14 inches.

124/12
124÷ 2/12÷ 2
148/14

We found that 148 feet is the same as 14 inches.

Feet 1/24 1/12 1/8 1/48
Inches 1/2 1 3/2 1/4

The equivalent ratios are 124: 12, 112:1, 18: 32, and 148: 14.