Add and Subtract Mixed Numbers: example 4.94

Subtract: $3 \frac{5}{11} - 4 \frac{3}{4} .$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Subtract: $1 \frac{3}{4} - 6 \frac{7}{8} .$

How did it go?

	$3 \frac{5}{11} - 4 \frac{3}{4}$
Change to equivalent fractions with the LCD.	$3 \frac{5 \cdot 4}{11 \cdot 4} - 4 \frac{3 \cdot 11}{4 \cdot 11}$ $3 \frac{20}{44} - 4 \frac{33}{44}$
Rewrite as improper fractions.	$\frac{152}{44} - \frac{209}{44}$
Subtract.	$- \frac{57}{44}$
Rewrite as a mixed number.	$−1 \frac{13}{44}$

	$3 \frac{5}{11} - 4 \frac{3}{4}$
Change to equivalent fractions with the LCD.	$3 \frac{5 \cdot 4}{11 \cdot 4} - 4 \frac{3 \cdot 11}{4 \cdot 11}$ $3 \frac{20}{44} - 4 \frac{33}{44}$
Rewrite as improper fractions.	$\frac{152}{44} - \frac{209}{44}$
Subtract.	$- \frac{57}{44}$
Rewrite as a mixed number.	$−1 \frac{13}{44}$