Question

Find each product or quotient. Write in simplest form.

$-\frac{7}{8}\cdot 2$

Short answer

The product is $-\frac{7}{4}$.

Step-by-step solution

Step 1. Concept of product of like and unlike sign integers.

Product of two fractions with same sign is always positive.

Product of two fractions with opposite sign is always negative.

Step 2. Concept of product of fractions.

Multiply the numerator of one fraction to the other one follows the same rule for denominators and then simplify.

Step 3. Evaluate the product.

$\begin{array}{l}=-\frac{7}{8}\cdot 2\\ =-\frac{7\times 2}{8}\\ =-\frac{7\times 2}{2\times 2\times 2}\end{array}$

Divide 2 by 2

$\text{=}-\frac{7}{4}$

The product is $-\frac{7}{4}$.