Pre-Algebra Examples

$\frac{1}{6} + \frac{7}{6} - \frac{15}{8}$

Step 1

Combine fractions.

Tap for more steps...

Step 1.1

Combine the numerators over the common denominator.

$\frac{1 + 7}{6} + \frac{- 15}{8}$

Step 1.2

Add $1$ and $7$ .

$\frac{8}{6} + \frac{- 15}{8}$

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

Cancel the common factor of $8$ and $6$ .

Tap for more steps...

Step 2.1.1

Factor $2$ out of $8$ .

$\frac{2 (4)}{6} + \frac{- 15}{8}$

Step 2.1.2

Cancel the common factors.

Tap for more steps...

Step 2.1.2.1

Factor $2$ out of $6$ .

$\frac{2 \cdot 4}{2 \cdot 3} + \frac{- 15}{8}$

Step 2.1.2.2

Cancel the common factor.

$\frac{2 \cdot 4}{2 \cdot 3} + \frac{- 15}{8}$

Step 2.1.2.3

Rewrite the expression.

$\frac{4}{3} + \frac{- 15}{8}$

Step 2.2

Move the negative in front of the fraction.

$\frac{4}{3} - \frac{15}{8}$

Step 3

To write $\frac{4}{3}$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$\frac{4}{3} \cdot \frac{8}{8} - \frac{15}{8}$

Step 4

To write $- \frac{15}{8}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{4}{3} \cdot \frac{8}{8} - \frac{15}{8} \cdot \frac{3}{3}$

Step 5

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

Tap for more steps...

Step 5.1

Multiply $\frac{4}{3}$ by $\frac{8}{8}$ .

$\frac{4 \cdot 8}{3 \cdot 8} - \frac{15}{8} \cdot \frac{3}{3}$

Step 5.2

Multiply $3$ by $8$ .

$\frac{4 \cdot 8}{24} - \frac{15}{8} \cdot \frac{3}{3}$

Step 5.3

Multiply $\frac{15}{8}$ by $\frac{3}{3}$ .

$\frac{4 \cdot 8}{24} - \frac{15 \cdot 3}{8 \cdot 3}$

Step 5.4

Multiply $8$ by $3$ .

$\frac{4 \cdot 8}{24} - \frac{15 \cdot 3}{24}$

Step 6

Combine the numerators over the common denominator.

$\frac{4 \cdot 8 - 15 \cdot 3}{24}$

Step 7

Simplify the numerator.

Tap for more steps...

Step 7.1

Multiply $4$ by $8$ .

$\frac{32 - 15 \cdot 3}{24}$

Step 7.2

Multiply $- 15$ by $3$ .

$\frac{32 - 45}{24}$

Step 7.3

Subtract $45$ from $32$ .

$\frac{- 13}{24}$

Step 8

Move the negative in front of the fraction.

$- \frac{13}{24}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$- \frac{13}{24}$

Decimal Form:

$- 0.541\overline{6}$