Convert to a Simplified Fraction 36.87

$36.87$

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.

$36 \frac{87}{100}$

Step 2

Convert $36 \frac{87}{100}$ to an improper fraction.

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

$36 + \frac{87}{100}$

Add $36$ and $\frac{87}{100}$ .

To write $36$ as a fraction with a common denominator, multiply by $\frac{100}{100}$ .

$36 \cdot \frac{100}{100} + \frac{87}{100}$

Combine $36$ and $\frac{100}{100}$ .

$\frac{36 \cdot 100}{100} + \frac{87}{100}$

Combine the numerators over the common denominator.

$\frac{36 \cdot 100 + 87}{100}$

Simplify the numerator.

Multiply $36$ by $100$ .

$\frac{3600 + 87}{100}$

Add $3600$ and $87$ .

$\frac{3687}{100}$

Convert to a Simplified Fraction 36.87

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