Basic Math Examples

$(5 \frac{1}{3}) (6 \frac{7}{8})$

Step 1

Convert $5 \frac{1}{3}$ to an improper fraction.

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Step 1.1

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

$(5 + \frac{1}{3}) (6 \frac{7}{8})$

Step 1.2

Add $5$ and $\frac{1}{3}$ .

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Step 1.2.1

To write $5$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$(5 \cdot \frac{3}{3} + \frac{1}{3}) (6 \frac{7}{8})$

Step 1.2.2

Combine $5$ and $\frac{3}{3}$ .

$(\frac{5 \cdot 3}{3} + \frac{1}{3}) (6 \frac{7}{8})$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{5 \cdot 3 + 1}{3} (6 \frac{7}{8})$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $5$ by $3$ .

$\frac{15 + 1}{3} (6 \frac{7}{8})$

Step 1.2.4.2

Add $15$ and $1$ .

$\frac{16}{3} (6 \frac{7}{8})$

Step 2

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

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Step 2.1

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

$\frac{16}{3} (6 + \frac{7}{8})$

Step 2.2

Add $6$ and $\frac{7}{8}$ .

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Step 2.2.1

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

$\frac{16}{3} (6 \cdot \frac{8}{8} + \frac{7}{8})$

Step 2.2.2

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

$\frac{16}{3} (\frac{6 \cdot 8}{8} + \frac{7}{8})$

Step 2.2.3

Combine the numerators over the common denominator.

$\frac{16}{3} \cdot \frac{6 \cdot 8 + 7}{8}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply $6$ by $8$ .

$\frac{16}{3} \cdot \frac{48 + 7}{8}$

Step 2.2.4.2

Add $48$ and $7$ .

$\frac{16}{3} \cdot \frac{55}{8}$

Step 3

Cancel the common factor of $8$ .

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Step 3.1

Factor $8$ out of $16$ .

$\frac{8 (2)}{3} \cdot \frac{55}{8}$

Step 3.2

Cancel the common factor.

$\frac{8 \cdot 2}{3} \cdot \frac{55}{8}$

Step 3.3

Rewrite the expression.

$\frac{2}{3} \cdot 55$

Step 4

Combine $\frac{2}{3}$ and $55$ .

$\frac{2 \cdot 55}{3}$

Step 5

Multiply $2$ by $55$ .

$\frac{110}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{110}{3}$

Decimal Form:

$36.\overline{6}$

Mixed Number Form:

$36 \frac{2}{3}$