Solve .384143.2-47.39/143.2-18.2

$$.384 \frac{ 143.2-47.39 }{ 143.2-18.2 }$$

Evaluate

$$0.29432832$$

Solution Steps

Subtract 47.39 from 143.2 to get 95.81.

$$0.384\times \frac{95.81}{143.2-18.2}$$

Subtract 18.2 from 143.2 to get 125.

$$0.384\times \frac{95.81}{125}$$

Expand \frac{95.81}{125} by multiplying both numerator and the denominator by 100.

$$0.384\times \frac{9581}{12500}$$

Convert decimal number 0.384 to fraction \frac{384}{1000}. Reduce the fraction \frac{384}{1000} to lowest terms by extracting and canceling out 8.

$$\frac{48}{125}\times \frac{9581}{12500}$$

Multiply \frac{48}{125} times \frac{9581}{12500} by multiplying numerator times numerator and denominator times denominator.

$$\frac{48\times 9581}{125\times 12500}$$

Do the multiplications in the fraction \frac{48\times 9581}{125\times 12500}.

$$\frac{459888}{1562500}$$

Reduce the fraction \frac{459888}{1562500} to lowest terms by extracting and canceling out 4.

$$\frac{114972}{390625}$$

Factor

$$\frac{3 \cdot 11 \cdot 13 \cdot 67 \cdot 2 ^ {2}}{5 ^ {8}} = 0.29432832$$