Evaluate (3.6-1 1/8÷(3/4))*15

$(3.6 - 1 \frac{1}{8} \div \frac{3}{4}) \cdot 15$

Convert $1 \frac{1}{8}$ to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

$(3.6 - (1 + \frac{1}{8}) \div \frac{3}{4}) \cdot 15$

Add $1$ and $\frac{1}{8}$ .

Write $1$ as a fraction with a common denominator.

$(3.6 - (\frac{8}{8} + \frac{1}{8}) \div \frac{3}{4}) \cdot 15$

Combine the numerators over the common denominator.

$(3.6 - \frac{8 + 1}{8} \div \frac{3}{4}) \cdot 15$

Add $8$ and $1$ .

$(3.6 - \frac{9}{8} \div \frac{3}{4}) \cdot 15$

Simplify each term.

To divide by a fraction, multiply by its reciprocal.

$(3.6 - (\frac{9}{8} \cdot \frac{4}{3})) \cdot 15$

Cancel the common factor of $3$ .

Factor $3$ out of $9$ .

$(3.6 - (\frac{3 (3)}{8} \cdot \frac{4}{3})) \cdot 15$

Cancel the common factor.

$(3.6 - (\frac{3 \cdot 3}{8} \cdot \frac{4}{3})) \cdot 15$

Rewrite the expression.

$(3.6 - (\frac{3}{8} \cdot 4)) \cdot 15$

Cancel the common factor of $4$ .

Factor $4$ out of $8$ .

$(3.6 - (\frac{3}{4 (2)} \cdot 4)) \cdot 15$

Cancel the common factor.

$(3.6 - (\frac{3}{4 \cdot 2} \cdot 4)) \cdot 15$

Rewrite the expression.

$(3.6 - \frac{3}{2}) \cdot 15$

To write $3.6$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$(3.6 \cdot \frac{2}{2} - \frac{3}{2}) \cdot 15$

Combine fractions.

Combine $3.6$ and $\frac{2}{2}$ .

$(\frac{3.6 \cdot 2}{2} - \frac{3}{2}) \cdot 15$

Combine the numerators over the common denominator.

$\frac{3.6 \cdot 2 - 3}{2} \cdot 15$

Simplify the numerator.

Multiply $3.6$ by $2$ .

$\frac{7.2 - 3}{2} \cdot 15$

Subtract $3$ from $7.2$ .

$\frac{4.2}{2} \cdot 15$

Simplify the expression.

Divide $4.2$ by $2$ .

$2.1 \cdot 15$

Multiply $2.1$ by $15$ .

$31.5$