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Exercises Numbers, fractions and percents

Example 1.68 from Elementary Algebra, 1.5 Visualize Fractions

Visualize Fractions: example 1.68

Multiply: $- \frac{11}{12} \cdot \frac{5}{7} .$

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.

Solution
The first step is to find the sign of the product. Since the signs are the different, the product is negative.

$- \frac{11}{12} \cdot \frac{5}{7}$

Determine the sign of the product; multiply. $- \frac{11 \cdot 5}{12 \cdot 7}$

Are there any common factors in the numerator and the demoninator? No. $- \frac{55}{84}$

Table 1.21

Your turn

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

Multiply: $- \frac{10}{28} \cdot \frac{8}{15} .$

How did it go?

PreviousVisualize Fractions: example 1.67 Next Visualize Fractions: example 1.69

From Elementary Algebra (1st edition) by OpenStax (Rice University), section 1.5, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.