Basic Math Examples

$\frac{13}{24 z^{2}} - \frac{1}{18 z^{2}}$

Step 1

To write $\frac{13}{24 z^{2}}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{13}{24 z^{2}} \cdot \frac{3}{3} - \frac{1}{18 z^{2}}$

Step 2

To write $- \frac{1}{18 z^{2}}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{13}{24 z^{2}} \cdot \frac{3}{3} - \frac{1}{18 z^{2}} \cdot \frac{4}{4}$

Step 3

Write each expression with a common denominator of $72 z^{2}$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{13}{24 z^{2}}$ by $\frac{3}{3}$ .

$\frac{13 \cdot 3}{24 z^{2} \cdot 3} - \frac{1}{18 z^{2}} \cdot \frac{4}{4}$

Step 3.2

Multiply $3$ by $24$ .

$\frac{13 \cdot 3}{72 z^{2}} - \frac{1}{18 z^{2}} \cdot \frac{4}{4}$

Step 3.3

Multiply $\frac{1}{18 z^{2}}$ by $\frac{4}{4}$ .

$\frac{13 \cdot 3}{72 z^{2}} - \frac{4}{18 z^{2} \cdot 4}$

Step 3.4

Multiply $4$ by $18$ .

$\frac{13 \cdot 3}{72 z^{2}} - \frac{4}{72 z^{2}}$

Step 4

Combine the numerators over the common denominator.

$\frac{13 \cdot 3 - 4}{72 z^{2}}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $13$ by $3$ .

$\frac{39 - 4}{72 z^{2}}$

Step 5.2

Subtract $4$ from $39$ .

$\frac{35}{72 z^{2}}$