Basic Math Examples

$5 \frac{3}{8} + 4 \frac{5}{8} + 6 \frac{3}{8}$

Step 1

Convert $5 \frac{3}{8}$ to an improper fraction.

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Step 1.1

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

$5 + \frac{3}{8} + 4 \frac{5}{8} + 6 \frac{3}{8}$

Step 1.2

Add $5$ and $\frac{3}{8}$ .

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Step 1.2.1

To write $5$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$5 \cdot \frac{8}{8} + \frac{3}{8} + 4 \frac{5}{8} + 6 \frac{3}{8}$

Step 1.2.2

Combine $5$ and $\frac{8}{8}$ .

$\frac{5 \cdot 8}{8} + \frac{3}{8} + 4 \frac{5}{8} + 6 \frac{3}{8}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{5 \cdot 8 + 3}{8} + 4 \frac{5}{8} + 6 \frac{3}{8}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $5$ by $8$ .

$\frac{40 + 3}{8} + 4 \frac{5}{8} + 6 \frac{3}{8}$

Step 1.2.4.2

Add $40$ and $3$ .

$\frac{43}{8} + 4 \frac{5}{8} + 6 \frac{3}{8}$

Step 2

Convert $4 \frac{5}{8}$ to an improper fraction.

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Step 2.1

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

$\frac{43}{8} + 4 + \frac{5}{8} + 6 \frac{3}{8}$

Step 2.2

Add $4$ and $\frac{5}{8}$ .

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Step 2.2.1

To write $4$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$\frac{43}{8} + 4 \cdot \frac{8}{8} + \frac{5}{8} + 6 \frac{3}{8}$

Step 2.2.2

Combine $4$ and $\frac{8}{8}$ .

$\frac{43}{8} + \frac{4 \cdot 8}{8} + \frac{5}{8} + 6 \frac{3}{8}$

Step 2.2.3

Combine the numerators over the common denominator.

$\frac{43}{8} + \frac{4 \cdot 8 + 5}{8} + 6 \frac{3}{8}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply $4$ by $8$ .

$\frac{43}{8} + \frac{32 + 5}{8} + 6 \frac{3}{8}$

Step 2.2.4.2

Add $32$ and $5$ .

$\frac{43}{8} + \frac{37}{8} + 6 \frac{3}{8}$

Step 3

Convert $6 \frac{3}{8}$ to an improper fraction.

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Step 3.1

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

$\frac{43}{8} + \frac{37}{8} + 6 + \frac{3}{8}$

Step 3.2

Add $6$ and $\frac{3}{8}$ .

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Step 3.2.1

To write $6$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$\frac{43}{8} + \frac{37}{8} + 6 \cdot \frac{8}{8} + \frac{3}{8}$

Step 3.2.2

Combine $6$ and $\frac{8}{8}$ .

$\frac{43}{8} + \frac{37}{8} + \frac{6 \cdot 8}{8} + \frac{3}{8}$

Step 3.2.3

Combine the numerators over the common denominator.

$\frac{43}{8} + \frac{37}{8} + \frac{6 \cdot 8 + 3}{8}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply $6$ by $8$ .

$\frac{43}{8} + \frac{37}{8} + \frac{48 + 3}{8}$

Step 3.2.4.2

Add $48$ and $3$ .

$\frac{43}{8} + \frac{37}{8} + \frac{51}{8}$

Step 4

Combine the numerators over the common denominator.

$\frac{43 + 37 + 51}{8}$

Step 5

Simplify by adding numbers.

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Step 5.1

Add $43$ and $37$ .

$\frac{80 + 51}{8}$

Step 5.2

Add $80$ and $51$ .

$\frac{131}{8}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{131}{8}$

Decimal Form:

$16.375$

Mixed Number Form:

$16 \frac{3}{8}$