Solve for b 70/b=35/100

$\frac{70}{b} = \frac{35}{100}$

Step 1

Cancel the common factor of $35$ and $100$ .

Factor $5$ out of $35$ .

$\frac{70}{b} = \frac{5 (7)}{100}$

Cancel the common factors.

Factor $5$ out of $100$ .

$\frac{70}{b} = \frac{5 \cdot 7}{5 \cdot 20}$

Cancel the common factor.

$\frac{70}{b} = \frac{5 \cdot 7}{5 \cdot 20}$

Rewrite the expression.

$\frac{70}{b} = \frac{7}{20}$

Step 2

Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

$70 \cdot 20 = b \cdot 7$

Step 3

Solve the equation for $b$ .

Rewrite the equation as $b \cdot 7 = 70 \cdot 20$ .

$b \cdot 7 = 70 \cdot 20$

Multiply $70$ by $20$ .

$b \cdot 7 = 1400$

Divide each term in $(b \cdot 7) = 1400$ by $7$ and simplify.

Divide each term in $(b \cdot 7) = 1400$ by $7$ .

$\frac{(b \cdot 7)}{7} = \frac{1400}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{b \cdot 7}{7} = \frac{1400}{7}$

Divide $b$ by $1$ .

$b = \frac{1400}{7}$

Simplify the right side.

Divide $1400$ by $7$ .

$b = 200$

Solve for b 70/b=35/100

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