Basic Math Examples

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

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

Step 1

Convert

2 \frac{1}{6}

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

Tap for more steps...

Step 1.1

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

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

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

Step 1.2

Add

2

$2$ and

\frac{1}{6}

$\frac{1}{6}$ .

Tap for more steps...

Step 1.2.1

To write

2

$2$ as a fraction with a common denominator, multiply by

\frac{6}{6}

$\frac{6}{6}$ .

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

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

Step 1.2.2

Combine

2

$2$ and

\frac{6}{6}

$\frac{6}{6}$ .

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

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

Step 1.2.3

Combine the numerators over the common denominator.

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

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

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply

2

$2$ by

6

$6$ .

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

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

Step 1.2.4.2

Add

12

$12$ and

1

$1$ .

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

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

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

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

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

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

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

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

Step 2

Convert

1 \frac{2}{7}

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

Tap for more steps...

Step 2.1

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

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

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

Step 2.2

Add

1

$1$ and

\frac{2}{7}

$\frac{2}{7}$ .

Tap for more steps...

Step 2.2.1

Write

1

$1$ as a fraction with a common denominator.

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

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

Step 2.2.2

Combine the numerators over the common denominator.

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

Step 2.2.3

Add

$7$ and

$2$ .

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

Step 3

To write

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

$\frac{7}{7}$ .

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

Step 4

To write

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

$\frac{6}{6}$ .

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

Step 5

Write each expression with a common denominator of

$42$ , by multiplying each by an appropriate factor of

$1$ .

Tap for more steps...

Step 5.1

Multiply

$\frac{13}{6}$ by

$\frac{7}{7}$ .

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

Step 5.2

Multiply

$6$ by

$7$ .

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

Step 5.3

Multiply

$\frac{9}{7}$ by

$\frac{6}{6}$ .

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

Step 5.4

Multiply

$7$ by

$6$ .

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

Step 6

Combine the numerators over the common denominator.

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

Step 7

Simplify the numerator.

Tap for more steps...

Step 7.1

Multiply

$13$ by

$7$ .

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

Step 7.2

Multiply

$- 9$ by

$6$ .

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

Step 7.3

Subtract

$54$ from

$91$ .

$\frac{37}{42}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{37}{42}$

Decimal Form:

$0.8\overline{809523}$