Basic Math Examples

$79 \frac{5}{8} - 69 \frac{7}{8}$

Step 1

Convert

$79 \frac{5}{8}$ to an improper fraction.

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Step 1.1

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

$79 + \frac{5}{8} - 69 \frac{7}{8}$

Step 1.2

Add

$79$ and

$\frac{5}{8}$ .

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Step 1.2.1

To write

$79$ as a fraction with a common denominator, multiply by

$\frac{8}{8}$ .

$79 \cdot \frac{8}{8} + \frac{5}{8} - 69 \frac{7}{8}$

Step 1.2.2

Combine

$79$ and

$\frac{8}{8}$ .

$\frac{79 \cdot 8}{8} + \frac{5}{8} - 69 \frac{7}{8}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{79 \cdot 8 + 5}{8} - 69 \frac{7}{8}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$79$ by

$8$ .

$\frac{632 + 5}{8} - 69 \frac{7}{8}$

Step 1.2.4.2

Add

$632$ and

$5$ .

$\frac{637}{8} - 69 \frac{7}{8}$

Step 2

Convert

$69 \frac{7}{8}$ to an improper fraction.

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Step 2.1

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

$\frac{637}{8} - (69 + \frac{7}{8})$

Step 2.2

Add

$69$ and

$\frac{7}{8}$ .

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Step 2.2.1

To write

$69$ as a fraction with a common denominator, multiply by

$\frac{8}{8}$ .

$\frac{637}{8} - (69 \cdot \frac{8}{8} + \frac{7}{8})$

Step 2.2.2

Combine

$69$ and

$\frac{8}{8}$ .

$\frac{637}{8} - (\frac{69 \cdot 8}{8} + \frac{7}{8})$

Step 2.2.3

Combine the numerators over the common denominator.

$\frac{637}{8} - \frac{69 \cdot 8 + 7}{8}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply

$69$ by

$8$ .

$\frac{637}{8} - \frac{552 + 7}{8}$

Step 2.2.4.2

Add

$552$ and

$7$ .

$\frac{637}{8} - \frac{559}{8}$

Step 3

Combine the numerators over the common denominator.

$\frac{637 - 559}{8}$

Step 4

Subtract

$559$ from

$637$ .

$\frac{78}{8}$

Step 5

Cancel the common factor of

$78$ and

$8$ .

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Step 5.1

Factor

$2$ out of

$78$ .

$\frac{2 (39)}{8}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor

$2$ out of

$8$ .

$\frac{2 \cdot 39}{2 \cdot 4}$

Step 5.2.2

Cancel the common factor.

$\frac{2 \cdot 39}{2 \cdot 4}$

Step 5.2.3

Rewrite the expression.

$\frac{39}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{39}{4}$

Decimal Form:

$9.75$

Mixed Number Form:

$9 \frac{3}{4}$