Basic Math Examples

$\frac{3}{4} a - \frac{7}{8} a$

Step 1

Factor $a$ out of $\frac{3}{4} a - \frac{7}{8} a$ .

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Step 1.1

Factor $a$ out of $\frac{3}{4} a$ .

$a \frac{3}{4} - \frac{7}{8} a$

Step 1.2

Factor $a$ out of $- \frac{7}{8} a$ .

$a \frac{3}{4} + a (- \frac{7}{8})$

Step 1.3

Factor $a$ out of $a \frac{3}{4} + a (- \frac{7}{8})$ .

$a (\frac{3}{4} - \frac{7}{8})$

Step 2

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

$a (\frac{3}{4} \cdot \frac{2}{2} - \frac{7}{8})$

Step 3

Write each expression with a common denominator of $8$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

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

$a (\frac{3 \cdot 2}{4 \cdot 2} - \frac{7}{8})$

Step 3.2

Multiply $4$ by $2$ .

$a (\frac{3 \cdot 2}{8} - \frac{7}{8})$

Step 4

Combine the numerators over the common denominator.

$a \frac{3 \cdot 2 - 7}{8}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $3$ by $2$ .

$a \frac{6 - 7}{8}$

Step 5.2

Subtract $7$ from $6$ .

$a \frac{- 1}{8}$

Step 6

Factor.

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Step 6.1

Move the negative in front of the fraction.

$a (- \frac{1}{8})$

Step 6.2

Remove unnecessary parentheses.

$a \cdot - 1 \frac{1}{8}$

Step 7

Combine exponents.

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Step 7.1

Factor out negative.

$- (a \frac{1}{8})$

Step 7.2

Combine $a$ and $\frac{1}{8}$ .

$- \frac{a}{8}$