Simplify 73/100*(-2/7)

$\frac{73}{100} \cdot (- \frac{2}{7})$

Step 1

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{2}{7}$ into the numerator.

$\frac{73}{100} \cdot \frac{- 2}{7}$

Factor $2$ out of $100$ .

$\frac{73}{2 (50)} \cdot \frac{- 2}{7}$

Factor $2$ out of $- 2$ .

$\frac{73}{2 \cdot 50} \cdot \frac{2 \cdot - 1}{7}$

Cancel the common factor.

$\frac{73}{2 \cdot 50} \cdot \frac{2 \cdot - 1}{7}$

Rewrite the expression.

$\frac{73}{50} \cdot \frac{- 1}{7}$

Step 2

Multiply $\frac{73}{50}$ by $\frac{- 1}{7}$ .

$\frac{73 \cdot - 1}{50 \cdot 7}$

Step 3

Simplify the expression.

Multiply $73$ by $- 1$ .

$\frac{- 73}{50 \cdot 7}$

Multiply $50$ by $7$ .

$\frac{- 73}{350}$

Move the negative in front of the fraction.

$- \frac{73}{350}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{73}{350}$

Decimal Form:

$- 0.20857142 \dots$