Basic Math Examples

- ∣ ∣ ∣ - 7 \frac{3}{5} ∣ ∣ ∣

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

Step 1

Convert

$7 \frac{3}{5}$ to an improper fraction.

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Step 1.1

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

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

Step 1.2

Add

$7$ and

$\frac{3}{5}$ .

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Step 1.2.1

To write

$7$ as a fraction with a common denominator, multiply by

$\frac{5}{5}$ .

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

Step 1.2.2

Combine

$7$ and

$\frac{5}{5}$ .

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

Step 1.2.3

Combine the numerators over the common denominator.

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

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$7$ by

$5$ .

$- | - \frac{35 + 3}{5} |$

Step 1.2.4.2

Add

$35$ and

$3$ .

$- | - \frac{38}{5} |$

Step 2

$- \frac{38}{5}$ is approximately

$- 7.6$ which is negative so negate

$- \frac{38}{5}$ and remove the absolute value

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Step 2.1

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

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

Step 2.2

Add

$7$ and

$\frac{3}{5}$ .

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Step 2.2.1

To write

$7$ as a fraction with a common denominator, multiply by

$\frac{5}{5}$ .

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

Step 2.2.2

Combine

$7$ and

$\frac{5}{5}$ .

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

Step 2.2.3

Combine the numerators over the common denominator.

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

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply

$7$ by

$5$ .

$- \frac{35 + 3}{5}$

Step 2.2.4.2

Add

$35$ and

$3$ .

$- \frac{38}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{38}{5}$

Decimal Form:

$- 7.6$

Mixed Number Form:

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