Visualize Fractions: example 1.71

Find the quotient: $- \frac{7}{8} \div (- \frac{14}{27}) .$

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.

Find the quotient: $- \frac{7}{27} \div (- \frac{35}{36}) .$

How did it go?

	$- \frac{7}{18} \div (− \frac{14}{27})$
To divide, multiply the first fraction by the reciprocal of the second.	$- \frac{7}{18} \cdot − \frac{27}{14}$
Determine the sign of the product, and then multiply..	$\frac{7 \cdot 27}{18 \cdot 14}$
Rewrite showing common factors.
Remove common factors.	$\frac{3}{2 \cdot 2}$
Simplify.	$\frac{3}{4}$

	$- \frac{7}{18} \div (− \frac{14}{27})$
To divide, multiply the first fraction by the reciprocal of the second.	$- \frac{7}{18} \cdot − \frac{27}{14}$
Determine the sign of the product, and then multiply..	$\frac{7 \cdot 27}{18 \cdot 14}$
Rewrite showing common factors.
Remove common factors.	$\frac{3}{2 \cdot 2}$
Simplify.	$\frac{3}{4}$