U.S. Customary Unit Conversion with Mixed Number Values : Two-Step Conversion

Introduction

In this lesson, we have mixed number values of customary units. These units must be converted to other customary unit involving two-step conversion.

Rules of conversion

• The mixed number values are converted into fractions

• The conversion rules are applied and customary unit is converted into required unit.

Example 1

Convert between yards and in

$6\frac{1}{4}$ yd = __in

Solution

Step 1:

1 yd = 3 ft

1 ft = 12 in

Step 2:

So, $6\frac{1}{4}$ yd = $\frac{25}{4} \times$ 3 ft = $\frac{25}{4} \times 3 \times 12$ in = 225 in

Example 2

Convert between gallons (gal) and cups (c)

$8\frac{1}{2}$ gal = __c

Solution

Step 1:

1 gal = 4 qt

1 qt = 2 pt

1 pt = 2 c

1 gal = 16 c

Step 2:

So, $8\frac{1}{2}$ gal = $\frac{17}{2} \times$ 16 c = 136 c