Pre-Algebra Examples

$\frac{13 d}{24} - \frac{12 d}{24}$

Step 1

Cancel the common factor of $12$ and $24$ .

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Step 1.1

Factor $12$ out of $12 d$ .

$\frac{13 d}{24} - \frac{12 (d)}{24}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $12$ out of $24$ .

$\frac{13 d}{24} - \frac{12 d}{12 \cdot 2}$

Step 1.2.2

Cancel the common factor.

$\frac{13 d}{24} - \frac{12 d}{12 \cdot 2}$

Step 1.2.3

Rewrite the expression.

$\frac{13 d}{24} - \frac{d}{2}$

Step 2

To write $- \frac{d}{2}$ as a fraction with a common denominator, multiply by $\frac{12}{12}$ .

$\frac{13 d}{24} - \frac{d}{2} \cdot \frac{12}{12}$

Step 3

Write each expression with a common denominator of $24$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{d}{2}$ by $\frac{12}{12}$ .

$\frac{13 d}{24} - \frac{d \cdot 12}{2 \cdot 12}$

Step 3.2

Multiply $2$ by $12$ .

$\frac{13 d}{24} - \frac{d \cdot 12}{24}$

Step 4

Combine the numerators over the common denominator.

$\frac{13 d - d \cdot 12}{24}$

Step 5

Rewrite $\frac{13 d - d \cdot 12}{24}$ in a factored form.

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Step 5.1

Factor $d$ out of $13 d - d \cdot 12$ .

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Step 5.1.1

Factor $d$ out of $13 d$ .

$\frac{d \cdot 13 - d \cdot 12}{24}$

Step 5.1.2

Factor $d$ out of $- d \cdot 12$ .

$\frac{d \cdot 13 + d (- 1 \cdot 12)}{24}$

Step 5.1.3

Factor $d$ out of $d \cdot 13 + d (- 1 \cdot 12)$ .

$\frac{d \cdot (13 - 1 \cdot 12)}{24}$

Step 5.1.4

Multiply $d$ by $13 - 1 \cdot 12$ .

$\frac{d (13 - 1 \cdot 12)}{24}$

Step 5.2

Multiply $- 1$ by $12$ .

$\frac{d (13 - 12)}{24}$

Step 5.3

Subtract $12$ from $13$ .

$\frac{d \cdot 1}{24}$