Basic Math Examples

$(- \frac{10}{7}) + \frac{1}{6}$

Step 1

To write $- \frac{10}{7}$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$- \frac{10}{7} \cdot \frac{6}{6} + \frac{1}{6}$

Step 2

To write $\frac{1}{6}$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$- \frac{10}{7} \cdot \frac{6}{6} + \frac{1}{6} \cdot \frac{7}{7}$

Step 3

Write each expression with a common denominator of $42$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{10}{7}$ by $\frac{6}{6}$ .

$- \frac{10 \cdot 6}{7 \cdot 6} + \frac{1}{6} \cdot \frac{7}{7}$

Step 3.2

Multiply $7$ by $6$ .

$- \frac{10 \cdot 6}{42} + \frac{1}{6} \cdot \frac{7}{7}$

Step 3.3

Multiply $\frac{1}{6}$ by $\frac{7}{7}$ .

$- \frac{10 \cdot 6}{42} + \frac{7}{6 \cdot 7}$

Step 3.4

Multiply $6$ by $7$ .

$- \frac{10 \cdot 6}{42} + \frac{7}{42}$

Step 4

Combine the numerators over the common denominator.

$\frac{- 10 \cdot 6 + 7}{42}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $- 10$ by $6$ .

$\frac{- 60 + 7}{42}$

Step 5.2

Add $- 60$ and $7$ .

$\frac{- 53}{42}$

Step 6

Move the negative in front of the fraction.

$- \frac{53}{42}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{53}{42}$

Decimal Form:

$- 1.26190476 \dots$

Mixed Number Form:

$- 1 \frac{11}{42}$