Solve 56.050/3.8*0.875-3.92

$$\frac { 56.050 } { 3.8 } \times 0.875 - 3.92$$

Evaluate

$$8.98625$$

Solution Steps

Expand \frac{56.05}{3.8} by multiplying both numerator and the denominator by 100.

$$\frac{5605}{380}\times 0.875-3.92$$

Reduce the fraction \frac{5605}{380} to lowest terms by extracting and canceling out 95.

$$\frac{59}{4}\times 0.875-3.92$$

Convert decimal number 0.875 to fraction \frac{875}{1000}. Reduce the fraction \frac{875}{1000} to lowest terms by extracting and canceling out 125.

$$\frac{59}{4}\times \frac{7}{8}-3.92$$

Multiply \frac{59}{4} times \frac{7}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{59\times 7}{4\times 8}-3.92$$

Do the multiplications in the fraction \frac{59\times 7}{4\times 8}.

$$\frac{413}{32}-3.92$$

Convert decimal number 3.92 to fraction \frac{392}{100}. Reduce the fraction \frac{392}{100} to lowest terms by extracting and canceling out 4.

$$\frac{413}{32}-\frac{98}{25}$$

Least common multiple of 32 and 25 is 800. Convert \frac{413}{32} and \frac{98}{25} to fractions with denominator 800.

$$\frac{10325}{800}-\frac{3136}{800}$$

Since \frac{10325}{800} and \frac{3136}{800} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10325-3136}{800}$$

Subtract 3136 from 10325 to get 7189.

$$\frac{7189}{800}$$

Factor

$$\frac{7 \cdot 13 \cdot 79}{2 ^ {5} \cdot 5 ^ {2}} = 8\frac{789}{800} = 8.98625$$