Convert to a Simplified Fraction 147.7340

$147.734$

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are $3$ numbers to the right of the decimal point, place the decimal number over $10^{3}$ $(1000)$ . Next, add the whole number to the left of the decimal.

$147 \frac{734}{1000}$

Reduce the fractional part of the mixed number.

$147 \frac{367}{500}$

Convert $147 \frac{367}{500}$ to an improper fraction.

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

$147 + \frac{367}{500}$

Add $147$ and $\frac{367}{500}$ .

To write $147$ as a fraction with a common denominator, multiply by $\frac{500}{500}$ .

$147 \cdot \frac{500}{500} + \frac{367}{500}$

Combine $147$ and $\frac{500}{500}$ .

$\frac{147 \cdot 500}{500} + \frac{367}{500}$

Combine the numerators over the common denominator.

$\frac{147 \cdot 500 + 367}{500}$

Simplify the numerator.

Multiply $147$ by $500$ .

$\frac{73500 + 367}{500}$

Add $73500$ and $367$ .

$\frac{73867}{500}$

Convert to a Simplified Fraction 147.7340

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