Solve 60.3/0.418.3+18.3/0.460.3

$$\frac{ 60.3 }{ 0.4 } 18.3+ \frac{ 18.3 }{ 0.4 } 60.3$$

Evaluate

$$5517.45$$

Solution Steps

Expand \frac{60.3}{0.4} by multiplying both numerator and the denominator by 10.

$$\frac{603}{4}\times 18.3+\frac{18.3}{0.4}\times 60.3$$

Convert decimal number 18.3 to fraction \frac{183}{10}.

$$\frac{603}{4}\times \frac{183}{10}+\frac{18.3}{0.4}\times 60.3$$

Multiply \frac{603}{4} times \frac{183}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{603\times 183}{4\times 10}+\frac{18.3}{0.4}\times 60.3$$

Do the multiplications in the fraction \frac{603\times 183}{4\times 10}.

$$\frac{110349}{40}+\frac{18.3}{0.4}\times 60.3$$

Expand \frac{18.3}{0.4} by multiplying both numerator and the denominator by 10.

$$\frac{110349}{40}+\frac{183}{4}\times 60.3$$

Convert decimal number 60.3 to fraction \frac{603}{10}.

$$\frac{110349}{40}+\frac{183}{4}\times \frac{603}{10}$$

Multiply \frac{183}{4} times \frac{603}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{110349}{40}+\frac{183\times 603}{4\times 10}$$

Do the multiplications in the fraction \frac{183\times 603}{4\times 10}.

$$\frac{110349}{40}+\frac{110349}{40}$$

Since \frac{110349}{40} and \frac{110349}{40} have the same denominator, add them by adding their numerators.

$$\frac{110349+110349}{40}$$

Add 110349 and 110349 to get 220698.

$$\frac{220698}{40}$$

Reduce the fraction \frac{220698}{40} to lowest terms by extracting and canceling out 2.

$$\frac{110349}{20}$$

Factor

$$\frac{61 \cdot 67 \cdot 3 ^ {3}}{5 \cdot 2 ^ {2}} = 5517\frac{9}{20} = 5517.45$$