Basic Math Examples

$- | \frac{7}{5} | | - 2 \frac{3}{7} |$

Step 1

Convert $2 \frac{3}{7}$ to an improper fraction.

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Step 1.1

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

$- | \frac{7}{5} | | - (2 + \frac{3}{7}) |$

Step 1.2

Add $2$ and $\frac{3}{7}$ .

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Step 1.2.1

To write $2$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$- | \frac{7}{5} | | - (2 \cdot \frac{7}{7} + \frac{3}{7}) |$

Step 1.2.2

Combine $2$ and $\frac{7}{7}$ .

$- | \frac{7}{5} | | - (\frac{2 \cdot 7}{7} + \frac{3}{7}) |$

Step 1.2.3

Combine the numerators over the common denominator.

$- | \frac{7}{5} | | - \frac{2 \cdot 7 + 3}{7} |$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $2$ by $7$ .

$- | \frac{7}{5} | | - \frac{14 + 3}{7} |$

Step 1.2.4.2

Add $14$ and $3$ .

$- | \frac{7}{5} | | - \frac{17}{7} |$

Step 2

$\frac{7}{5}$ is approximately $1.4$ which is positive so remove the absolute value

$- \frac{7}{5} | - \frac{17}{7} |$

Step 3

Remove non-negative terms from the absolute value.

$- \frac{7}{5} \cdot \frac{17}{7}$

Step 4

Cancel the common factor of $7$ .

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Step 4.1

Move the leading negative in $- \frac{7}{5}$ into the numerator.

$\frac{- 7}{5} \cdot \frac{17}{7}$

Step 4.2

Factor $7$ out of $- 7$ .

$\frac{7 (- 1)}{5} \cdot \frac{17}{7}$

Step 4.3

Cancel the common factor.

$\frac{7 \cdot - 1}{5} \cdot \frac{17}{7}$

Step 4.4

Rewrite the expression.

$\frac{- 1}{5} \cdot 17$

Step 5

Combine $\frac{- 1}{5}$ and $17$ .

$\frac{- 1 \cdot 17}{5}$

Step 6

Simplify the expression.

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Step 6.1

Multiply $- 1$ by $17$ .

$\frac{- 17}{5}$

Step 6.2

Move the negative in front of the fraction.

$- \frac{17}{5}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{17}{5}$

Decimal Form:

$- 3.4$

Mixed Number Form:

$- 3 \frac{2}{5}$