Basic Math Examples

$23.7 - \frac{13.5}{\frac{d}{6}}$

Step 1

Simplify each term.

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Step 1.1

Multiply the numerator by the reciprocal of the denominator.

$23.7 - (13.5 \frac{6}{d})$

Step 1.2

Multiply $13.5 \frac{6}{d}$ .

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Step 1.2.1

Combine $13.5$ and $\frac{6}{d}$ .

$23.7 - \frac{13.5 \cdot 6}{d}$

Step 1.2.2

Multiply $13.5$ by $6$ .

$23.7 - \frac{81}{d}$

Step 2

To write $23.7$ as a fraction with a common denominator, multiply by $\frac{d}{d}$ .

$\frac{23.7 d}{d} - \frac{81}{d}$

Step 3

Combine the numerators over the common denominator.

$\frac{23.7 d - 81}{d}$

Step 4

Factor $0.3$ out of $23.7 d - 81$ .

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Step 4.1

Factor $0.3$ out of $23.7 d$ .

$\frac{0.3 (79 d) - 81}{d}$

Step 4.2

Factor $0.3$ out of $- 81$ .

$\frac{0.3 (79 d) + 0.3 (- 270)}{d}$

Step 4.3

Factor $0.3$ out of $0.3 (79 d) + 0.3 (- 270)$ .

$\frac{0.3 (79 d - 270)}{d}$