Basic Math Examples

$\frac{\frac{57}{8} \cdot (\frac{55}{8} - \frac{67}{16})}{\frac{19}{4}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{57}{8} \cdot (\frac{55}{8} - \frac{67}{16}) \frac{4}{19}$

Step 2

To write $\frac{55}{8}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{57}{8} \cdot (\frac{55}{8} \cdot \frac{2}{2} - \frac{67}{16}) \frac{4}{19}$

Step 3

Write each expression with a common denominator of $16$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{55}{8}$ by $\frac{2}{2}$ .

$\frac{57}{8} \cdot (\frac{55 \cdot 2}{8 \cdot 2} - \frac{67}{16}) \frac{4}{19}$

Step 3.2

Multiply $8$ by $2$ .

$\frac{57}{8} \cdot (\frac{55 \cdot 2}{16} - \frac{67}{16}) \frac{4}{19}$

Step 4

Combine the numerators over the common denominator.

$\frac{57}{8} \cdot \frac{55 \cdot 2 - 67}{16} \frac{4}{19}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $55$ by $2$ .

$\frac{57}{8} \cdot \frac{110 - 67}{16} \frac{4}{19}$

Step 5.2

Subtract $67$ from $110$ .

$\frac{57}{8} \cdot \frac{43}{16} \frac{4}{19}$

Step 6

Multiply $\frac{57}{8} \cdot \frac{43}{16}$ .

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Step 6.1

Multiply $\frac{57}{8}$ by $\frac{43}{16}$ .

$\frac{57 \cdot 43}{8 \cdot 16} \cdot \frac{4}{19}$

Step 6.2

Multiply $57$ by $43$ .

$\frac{2451}{8 \cdot 16} \cdot \frac{4}{19}$

Step 6.3

Multiply $8$ by $16$ .

$\frac{2451}{128} \cdot \frac{4}{19}$

Step 7

Cancel the common factor of $19$ .

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Step 7.1

Factor $19$ out of $2451$ .

$\frac{19 (129)}{128} \cdot \frac{4}{19}$

Step 7.2

Cancel the common factor.

$\frac{19 \cdot 129}{128} \cdot \frac{4}{19}$

Step 7.3

Rewrite the expression.

$\frac{129}{128} \cdot 4$

Step 8

Cancel the common factor of $4$ .

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Step 8.1

Factor $4$ out of $128$ .

$\frac{129}{4 (32)} \cdot 4$

Step 8.2

Cancel the common factor.

$\frac{129}{4 \cdot 32} \cdot 4$

Step 8.3

Rewrite the expression.

$\frac{129}{32}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$\frac{129}{32}$

Decimal Form:

$4.03125$

Mixed Number Form:

$4 \frac{1}{32}$