Solve 8.75-2.54*6.7:4.2

$$8.75 - 2.54 \times 6.7 : 4.2$$

Evaluate

$$\frac{4933}{1050}\approx 4.698095238$$

Solution Steps

Multiply 2.54 and 6.7 to get 17.018.

$$8.75-\frac{17.018}{4.2}$$

Expand \frac{17.018}{4.2} by multiplying both numerator and the denominator by 1000.

$$8.75-\frac{17018}{4200}$$

Reduce the fraction \frac{17018}{4200} to lowest terms by extracting and canceling out 2.

$$8.75-\frac{8509}{2100}$$

Convert decimal number 8.75 to fraction \frac{875}{100}. Reduce the fraction \frac{875}{100} to lowest terms by extracting and canceling out 25.

$$\frac{35}{4}-\frac{8509}{2100}$$

Least common multiple of 4 and 2100 is 2100. Convert \frac{35}{4} and \frac{8509}{2100} to fractions with denominator 2100.

$$\frac{18375}{2100}-\frac{8509}{2100}$$

Since \frac{18375}{2100} and \frac{8509}{2100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{18375-8509}{2100}$$

Subtract 8509 from 18375 to get 9866.

$$\frac{9866}{2100}$$

Reduce the fraction \frac{9866}{2100} to lowest terms by extracting and canceling out 2.

$$\frac{4933}{1050}$$

Factor

$$\frac{4933}{2 \cdot 3 \cdot 7 \cdot 5 ^ {2}} = 4\frac{733}{1050} = 4.698095238095238$$