# Mixed Numbers in Applications

## Key Questions

• When multiplying mixed numbers they have to be either converted to improper fractions or to their decimal equivalent.

$2 \frac{1}{2} \cdot 3 \frac{3}{4} = \frac{5}{2} \cdot \frac{15}{4} = \frac{75}{8} = 9 \frac{3}{8}$

or

$2 \frac{1}{2} \cdot 3 \frac{3}{4} = 2.5 \cdot 3.75 = 9.375 = 9 \frac{375}{1000} = 9 \frac{3}{8}$

DO NOT
-just multiply the whole number part
-just multiply the fractional parts

• Conversion of Centigrade temperature to Fahrenheit.

$F = \left(\frac{9}{5}\right) \cdot C + 32$

• A mixed number is one in which there is a whole number combined with a fraction. Examples include 1 1/2, 3 2/3, and 6 4/9. They can be converted into improper fractions by multiplying the denominator of the fraction times the whole number and adding the numerator, then placing the result over the denominator.

Examples

1 1/2 = 2 x 1 +1 =3/2

3 2/3 = 3 x 3 +2 = 11/3

6 4/9 = 9 x 6 + 4 = 58/4 = 29/2