Solve 63-96.3div2.45+176.825

$$63-96.3 \div 2.45+176.825$$

Evaluate

$$\frac{393017}{1960}\approx 200.518877551$$

Solution Steps

Expand \frac{96.3}{2.45} by multiplying both numerator and the denominator by 100.

$$63-\frac{9630}{245}+176.825$$

Reduce the fraction \frac{9630}{245} to lowest terms by extracting and canceling out 5.

$$63-\frac{1926}{49}+176.825$$

Convert 63 to fraction \frac{3087}{49}.

$$\frac{3087}{49}-\frac{1926}{49}+176.825$$

Since \frac{3087}{49} and \frac{1926}{49} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3087-1926}{49}+176.825$$

Subtract 1926 from 3087 to get 1161.

$$\frac{1161}{49}+176.825$$

Convert decimal number 176.825 to fraction \frac{176825}{1000}. Reduce the fraction \frac{176825}{1000} to lowest terms by extracting and canceling out 25.

$$\frac{1161}{49}+\frac{7073}{40}$$

Least common multiple of 49 and 40 is 1960. Convert \frac{1161}{49} and \frac{7073}{40} to fractions with denominator 1960.

$$\frac{46440}{1960}+\frac{346577}{1960}$$

Since \frac{46440}{1960} and \frac{346577}{1960} have the same denominator, add them by adding their numerators.

$$\frac{46440+346577}{1960}$$

Add 46440 and 346577 to get 393017.

$$\frac{393017}{1960}$$

Factor

$$\frac{393017}{5 \cdot 2 ^ {3} \cdot 7 ^ {2}} = 200\frac{1017}{1960} = 200.5188775510204$$