Convert to a Simplified Fraction -965.25

$- 965.25$

Step 1

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are $2$ numbers to the right of the decimal point, place the decimal number over $10^{2}$ $(100)$ . Next, add the whole number to the left of the decimal.

$- 965 \frac{25}{100}$

Step 2

Reduce the fractional part of the mixed number.

$- 965 \frac{1}{4}$

Step 3

Convert $965 \frac{1}{4}$ to an improper fraction.

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

$- (965 + \frac{1}{4})$

Add $965$ and $\frac{1}{4}$ .

To write $965$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$- (965 \cdot \frac{4}{4} + \frac{1}{4})$

Combine $965$ and $\frac{4}{4}$ .

$- (\frac{965 \cdot 4}{4} + \frac{1}{4})$

Combine the numerators over the common denominator.

$- \frac{965 \cdot 4 + 1}{4}$

Simplify the numerator.

Multiply $965$ by $4$ .

$- \frac{3860 + 1}{4}$

Add $3860$ and $1$ .

$- \frac{3861}{4}$

Convert to a Simplified Fraction -965.25

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