Factor 34.75-8 1/4

$34.75 - 8 \frac{1}{4}$

Convert $8 \frac{1}{4}$ to an improper fraction.

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

$34.75 - (8 + \frac{1}{4})$

Add $8$ and $\frac{1}{4}$ .

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

$34.75 - (8 \cdot \frac{4}{4} + \frac{1}{4})$

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

$34.75 - (\frac{8 \cdot 4}{4} + \frac{1}{4})$

Combine the numerators over the common denominator.

$34.75 - \frac{8 \cdot 4 + 1}{4}$

Simplify the numerator.

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Multiply $8$ by $4$ .

$34.75 - \frac{32 + 1}{4}$

Add $32$ and $1$ .

$34.75 - \frac{33}{4}$

To write $34.75$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$34.75 \cdot \frac{4}{4} - \frac{33}{4}$

Combine $34.75$ and $\frac{4}{4}$ .

$\frac{34.75 \cdot 4}{4} - \frac{33}{4}$

Combine the numerators over the common denominator.

$\frac{34.75 \cdot 4 - 33}{4}$

Simplify the numerator.

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Multiply $34.75$ by $4$ .

$\frac{139 - 33}{4}$

Subtract $33$ from $139$ .

$\frac{106}{4}$

Cancel the common factor of $106$ and $4$ .

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Factor $2$ out of $106$ .

$\frac{2 (53)}{4}$

Cancel the common factors.

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Factor $2$ out of $4$ .

$\frac{2 \cdot 53}{2 \cdot 2}$

Cancel the common factor.

$\frac{2 \cdot 53}{2 \cdot 2}$

Rewrite the expression.

$\frac{53}{2}$

Factor 34.75-8 1/4

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