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Chapter 5: Problem 59

Perform the indicated operations. If possible, reduce the answer to its lowest terms. \(\left(-\frac{1}{10}\right)\left(\frac{7}{12}\right)\)

Short Answer

Expert verified
The answer is \(-\frac{7}{120}\).

Step by step solution

01

Recognizing the Signs

Recognize the signs of the two fractions in the equation. Since there is a negative sign before one fraction and no sign (implicitly positive) before the other, the result of their multiplication will also be a negative number.
02

Multiplying the Numerators

Multiply the numerators of the two fractions together. The numerator of the first fraction is 1 and the numerator of the second fraction is 7. So, their multiplication gives -1*7 = -7.
03

Multiplying the Denominators

Similarly, multiply the denominators of the two fractions together. The denominator of the first fraction is 10 and the denominator of the second fraction is 12. So, their multiplication gives 10*12 = 120.
04

Writing the Product as a Fraction

Write the multiplication result as a fraction. After multiplying the numerators and denominators, the result is -7/120.
05

Simplifying the Fraction

Note that the fraction -7/120 is already in its simplest form since there is no integer that can divide both -7 and 120 exactly. Hence, no need for further simplification.

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