Basic Math Examples

$\frac{\frac{2}{3} M}{M} + \frac{\frac{3}{4} W}{W}$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $M$ .

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Step 1.1.1

Cancel the common factor.

$\frac{\frac{2}{3} M}{M} + \frac{\frac{3}{4} W}{W}$

Step 1.1.2

Divide $\frac{2}{3}$ by $1$ .

$\frac{2}{3} + \frac{\frac{3}{4} W}{W}$

Step 1.2

Cancel the common factor of $W$ .

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Step 1.2.1

Cancel the common factor.

$\frac{2}{3} + \frac{\frac{3}{4} W}{W}$

Step 1.2.2

Divide $\frac{3}{4}$ by $1$ .

$\frac{2}{3} + \frac{3}{4}$

Step 2

To write $\frac{2}{3}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{2}{3} \cdot \frac{4}{4} + \frac{3}{4}$

Step 3

To write $\frac{3}{4}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{2}{3} \cdot \frac{4}{4} + \frac{3}{4} \cdot \frac{3}{3}$

Step 4

Write each expression with a common denominator of $12$ , by multiplying each by an appropriate factor of $1$ .

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Step 4.1

Multiply $\frac{2}{3}$ by $\frac{4}{4}$ .

$\frac{2 \cdot 4}{3 \cdot 4} + \frac{3}{4} \cdot \frac{3}{3}$

Step 4.2

Multiply $3$ by $4$ .

$\frac{2 \cdot 4}{12} + \frac{3}{4} \cdot \frac{3}{3}$

Step 4.3

Multiply $\frac{3}{4}$ by $\frac{3}{3}$ .

$\frac{2 \cdot 4}{12} + \frac{3 \cdot 3}{4 \cdot 3}$

Step 4.4

Multiply $4$ by $3$ .

$\frac{2 \cdot 4}{12} + \frac{3 \cdot 3}{12}$

Step 5

Combine the numerators over the common denominator.

$\frac{2 \cdot 4 + 3 \cdot 3}{12}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply $2$ by $4$ .

$\frac{8 + 3 \cdot 3}{12}$

Step 6.2

Multiply $3$ by $3$ .

$\frac{8 + 9}{12}$

Step 6.3

Add $8$ and $9$ .

$\frac{17}{12}$