Evaluate 2 1/6-1 2/7

$2 \frac{1}{6} - 1 \frac{2}{7}$

Convert $2 \frac{1}{6}$ to an improper fraction.

Expand detailed answer...

A mixed number is an addition of its whole and fractional parts.

$2 + \frac{1}{6} - 1 \frac{2}{7}$

Add $2$ and $\frac{1}{6}$ .

Expand detailed answer...

To write $2$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$2 \cdot \frac{6}{6} + \frac{1}{6} - 1 \frac{2}{7}$

Combine $2$ and $\frac{6}{6}$ .

$\frac{2 \cdot 6}{6} + \frac{1}{6} - 1 \frac{2}{7}$

Combine the numerators over the common denominator.

$\frac{2 \cdot 6 + 1}{6} - 1 \frac{2}{7}$

Simplify the numerator.

Expand detailed answer...

Multiply $2$ by $6$ .

$\frac{12 + 1}{6} - 1 \frac{2}{7}$

Add $12$ and $1$ .

$\frac{13}{6} - 1 \frac{2}{7}$

Convert $1 \frac{2}{7}$ to an improper fraction.

Expand detailed answer...

A mixed number is an addition of its whole and fractional parts.

$\frac{13}{6} - (1 + \frac{2}{7})$

Add $1$ and $\frac{2}{7}$ .

Expand detailed answer...

Write $1$ as a fraction with a common denominator.

$\frac{13}{6} - (\frac{7}{7} + \frac{2}{7})$

Combine the numerators over the common denominator.

$\frac{13}{6} - \frac{7 + 2}{7}$

Add $7$ and $2$ .

$\frac{13}{6} - \frac{9}{7}$

To write $\frac{13}{6}$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$\frac{13}{6} \cdot \frac{7}{7} - \frac{9}{7}$

To write $- \frac{9}{7}$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$\frac{13}{6} \cdot \frac{7}{7} - \frac{9}{7} \cdot \frac{6}{6}$

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

Expand detailed answer...

Multiply $\frac{13}{6}$ and $\frac{7}{7}$ .

$\frac{13 \cdot 7}{6 \cdot 7} - \frac{9}{7} \cdot \frac{6}{6}$

Multiply $6$ by $7$ .

$\frac{13 \cdot 7}{42} - \frac{9}{7} \cdot \frac{6}{6}$

Multiply $\frac{9}{7}$ and $\frac{6}{6}$ .

$\frac{13 \cdot 7}{42} - \frac{9 \cdot 6}{7 \cdot 6}$

Multiply $7$ by $6$ .

$\frac{13 \cdot 7}{42} - \frac{9 \cdot 6}{42}$

Combine the numerators over the common denominator.

$\frac{13 \cdot 7 - 9 \cdot 6}{42}$

Simplify the numerator.

Expand detailed answer...

Multiply $13$ by $7$ .

$\frac{91 - 9 \cdot 6}{42}$

Multiply $- 9$ by $6$ .

$\frac{91 - 54}{42}$

Subtract $54$ from $91$ .

$\frac{37}{42}$

The result can be shown in multiple forms.

Exact Form:

$\frac{37}{42}$

Decimal Form:

$0.8\overline{809523}$