Chapter 1: Q23. (page 19)

Find the following product.
$(- \frac{1}{3}) (- 7 \frac{1}{2})$

Short Answer

Expert verified

The product is $\frac{5}{2}$ .

Step by step solution

Step 1. Concept Used.

To multiply two fractions, simply multiply the numerators and denominators of both fractions together and then simplify further by cancel out any common factors.

Step 2. Simplify the mixed fraction.

First, simplify the mixed fraction into an improper fraction.

$\begin{matrix} - 7 \frac{1}{2} = - \frac{7 \times 2 + 1}{2} \\ = - \frac{14 + 1}{2} \\ = - \frac{15}{2} \end{matrix}$

Step 3. Find the product of given numbers.

Multiply the numerator and denominator and then simplify.

$(- \frac{1}{3}) (- 7 \frac{1}{2}) = (- \frac{1}{3} \cdot - \frac{15}{2}) [product of same sign is positive] = (\frac{1}{3} \cdot \frac{15}{2}) = \frac{1 \cdot 15}{3 \cdot 2}$

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Find the following product.
$(- \frac{1}{3}) (- 7 \frac{1}{2})$

Short Answer

Step by step solution

Step 1. Concept Used.

Step 2. Simplify the mixed fraction.

Step 3. Find the product of given numbers.

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Find the following product.-13-712

Short Answer

Step by step solution

Step 1. Concept Used.

Step 2. Simplify the mixed fraction.

Step 3. Find the product of given numbers.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

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Theoretical and Mathematical Physics

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Decision Maths

Study anywhere. Anytime. Across all devices.

Find the following product.
$(- \frac{1}{3}) (- 7 \frac{1}{2})$