Basic Math Examples

$- \frac{6}{11} - \frac{7}{13}$

Step 1

To write $- \frac{6}{11}$ as a fraction with a common denominator, multiply by $\frac{13}{13}$ .

$- \frac{6}{11} \cdot \frac{13}{13} - \frac{7}{13}$

Step 2

To write $- \frac{7}{13}$ as a fraction with a common denominator, multiply by $\frac{11}{11}$ .

$- \frac{6}{11} \cdot \frac{13}{13} - \frac{7}{13} \cdot \frac{11}{11}$

Step 3

Write each expression with a common denominator of $143$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{6}{11}$ by $\frac{13}{13}$ .

$- \frac{6 \cdot 13}{11 \cdot 13} - \frac{7}{13} \cdot \frac{11}{11}$

Step 3.2

Multiply $11$ by $13$ .

$- \frac{6 \cdot 13}{143} - \frac{7}{13} \cdot \frac{11}{11}$

Step 3.3

Multiply $\frac{7}{13}$ by $\frac{11}{11}$ .

$- \frac{6 \cdot 13}{143} - \frac{7 \cdot 11}{13 \cdot 11}$

Step 3.4

Multiply $13$ by $11$ .

$- \frac{6 \cdot 13}{143} - \frac{7 \cdot 11}{143}$

Step 4

Combine the numerators over the common denominator.

$\frac{- 6 \cdot 13 - 7 \cdot 11}{143}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $- 6$ by $13$ .

$\frac{- 78 - 7 \cdot 11}{143}$

Step 5.2

Multiply $- 7$ by $11$ .

$\frac{- 78 - 77}{143}$

Step 5.3

Subtract $77$ from $- 78$ .

$\frac{- 155}{143}$

Step 6

Move the negative in front of the fraction.

$- \frac{155}{143}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{155}{143}$

Decimal Form:

$- 1.\overline{083916}$

Mixed Number Form:

$- 1 \frac{12}{143}$