Basic Math Examples

$2 \frac{3}{8} + 1 \frac{6}{8}$

Step 1

Convert $2 \frac{3}{8}$ to an improper fraction.

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Step 1.1

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

$2 + \frac{3}{8} + 1 \frac{6}{8}$

Step 1.2

Add $2$ and $\frac{3}{8}$ .

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Step 1.2.1

To write $2$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$2 \cdot \frac{8}{8} + \frac{3}{8} + 1 \frac{6}{8}$

Step 1.2.2

Combine $2$ and $\frac{8}{8}$ .

$\frac{2 \cdot 8}{8} + \frac{3}{8} + 1 \frac{6}{8}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{2 \cdot 8 + 3}{8} + 1 \frac{6}{8}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $2$ by $8$ .

$\frac{16 + 3}{8} + 1 \frac{6}{8}$

Step 1.2.4.2

Add $16$ and $3$ .

$\frac{19}{8} + 1 \frac{6}{8}$

Step 2

Convert $1 \frac{6}{8}$ to an improper fraction.

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Step 2.1

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

$\frac{19}{8} + 1 + \frac{6}{8}$

Step 2.2

Add $1$ and $\frac{6}{8}$ .

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Step 2.2.1

Write $1$ as a fraction with a common denominator.

$\frac{19}{8} + \frac{8}{8} + \frac{6}{8}$

Step 2.2.2

Combine the numerators over the common denominator.

$\frac{19}{8} + \frac{8 + 6}{8}$

Step 2.2.3

Add $8$ and $6$ .

$\frac{19}{8} + \frac{14}{8}$

Step 3

Combine the numerators over the common denominator.

$\frac{19 + 14}{8}$

Step 4

Add $19$ and $14$ .

$\frac{33}{8}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{33}{8}$

Decimal Form:

$4.125$

Mixed Number Form:

$4 \frac{1}{8}$