Basic Math Examples

$\frac{1}{8} - \frac{10}{3}$

Step 1

To write

$\frac{1}{8}$ as a fraction with a common denominator, multiply by

$\frac{3}{3}$ .

$\frac{1}{8} \cdot \frac{3}{3} - \frac{10}{3}$

Step 2

To write

$- \frac{10}{3}$ as a fraction with a common denominator, multiply by

$\frac{8}{8}$ .

$\frac{1}{8} \cdot \frac{3}{3} - \frac{10}{3} \cdot \frac{8}{8}$

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

$\frac{1}{8}$ by

$\frac{3}{3}$ .

$\frac{3}{8 \cdot 3} - \frac{10}{3} \cdot \frac{8}{8}$

Step 3.2

Multiply

$8$ by

$3$ .

$\frac{3}{24} - \frac{10}{3} \cdot \frac{8}{8}$

Step 3.3

Multiply

$\frac{10}{3}$ by

$\frac{8}{8}$ .

$\frac{3}{24} - \frac{10 \cdot 8}{3 \cdot 8}$

Step 3.4

Multiply

$3$ by

$8$ .

$\frac{3}{24} - \frac{10 \cdot 8}{24}$

Step 4

Combine the numerators over the common denominator.

$\frac{3 - 10 \cdot 8}{24}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$- 10$ by

$8$ .

$\frac{3 - 80}{24}$

Step 5.2

Subtract

$80$ from

$3$ .

$\frac{- 77}{24}$

Step 6

Move the negative in front of the fraction.

$- \frac{77}{24}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{77}{24}$

Decimal Form:

$- 3.208\overline{3}$

Mixed Number Form:

$- 3 \frac{5}{24}$