Convert to a Simplified Fraction -3.5

$- 3.5$

Step 1

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is $1$ number to the right of the decimal point, place the decimal number over $10^{1}$ $(10)$ . Next, add the whole number to the left of the decimal.

$- 3 \frac{5}{10}$

Step 2

Reduce the fractional part of the mixed number.

$- 3 \frac{1}{2}$

Step 3

Convert $3 \frac{1}{2}$ to an improper fraction.

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

$- (3 + \frac{1}{2})$

Add $3$ and $\frac{1}{2}$ .

To write $3$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$- (3 \cdot \frac{2}{2} + \frac{1}{2})$

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

$- (\frac{3 \cdot 2}{2} + \frac{1}{2})$

Combine the numerators over the common denominator.

$- \frac{3 \cdot 2 + 1}{2}$

Simplify the numerator.

Multiply $3$ by $2$ .

$- \frac{6 + 1}{2}$

Add $6$ and $1$ .

$- \frac{7}{2}$

Convert to a Simplified Fraction -3.5

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