Basic Math Examples

$6 \frac{7}{8} + \frac{3}{8}$

Step 1

Convert

$6 \frac{7}{8}$ to an improper fraction.

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Step 1.1

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

$6 + \frac{7}{8} + \frac{3}{8}$

Step 1.2

Add

$6$ and

$\frac{7}{8}$ .

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Step 1.2.1

To write

$6$ as a fraction with a common denominator, multiply by

$\frac{8}{8}$ .

$6 \cdot \frac{8}{8} + \frac{7}{8} + \frac{3}{8}$

Step 1.2.2

Combine

$6$ and

$\frac{8}{8}$ .

$\frac{6 \cdot 8}{8} + \frac{7}{8} + \frac{3}{8}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{6 \cdot 8 + 7}{8} + \frac{3}{8}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$6$ by

$8$ .

$\frac{48 + 7}{8} + \frac{3}{8}$

Step 1.2.4.2

Add

$48$ and

$7$ .

$\frac{55}{8} + \frac{3}{8}$

Step 2

Combine the numerators over the common denominator.

$\frac{55 + 3}{8}$

Step 3

Add

$55$ and

$3$ .

$\frac{58}{8}$

Step 4

Cancel the common factor of

$58$ and

$8$ .

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Step 4.1

Factor

$2$ out of

$58$ .

$\frac{2 (29)}{8}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor

$2$ out of

$8$ .

$\frac{2 \cdot 29}{2 \cdot 4}$

Step 4.2.2

Cancel the common factor.

$\frac{2 \cdot 29}{2 \cdot 4}$

Step 4.2.3

Rewrite the expression.

$\frac{29}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{29}{4}$

Decimal Form:

$7.25$

Mixed Number Form:

$7 \frac{1}{4}$