Solve 10^2-41div2.8*1.71

$${ 10 }^{ 2 } -41 \div 2.8 \times 1.71$$

Evaluate

$$\frac{20989}{280}\approx 74.960714286$$

Solution Steps

Calculate 10 to the power of 2 and get 100.

$$100-\frac{41}{2.8}\times 1.71$$

Expand \frac{41}{2.8} by multiplying both numerator and the denominator by 10.

$$100-\frac{410}{28}\times 1.71$$

Reduce the fraction \frac{410}{28} to lowest terms by extracting and canceling out 2.

$$100-\frac{205}{14}\times 1.71$$

Convert decimal number 1.71 to fraction \frac{171}{100}.

$$100-\frac{205}{14}\times \frac{171}{100}$$

Multiply \frac{205}{14} times \frac{171}{100} by multiplying numerator times numerator and denominator times denominator.

$$100-\frac{205\times 171}{14\times 100}$$

Do the multiplications in the fraction \frac{205\times 171}{14\times 100}.

$$100-\frac{35055}{1400}$$

Reduce the fraction \frac{35055}{1400} to lowest terms by extracting and canceling out 5.

$$100-\frac{7011}{280}$$

Convert 100 to fraction \frac{28000}{280}.

$$\frac{28000}{280}-\frac{7011}{280}$$

Since \frac{28000}{280} and \frac{7011}{280} have the same denominator, subtract them by subtracting their numerators.

$$\frac{28000-7011}{280}$$

Subtract 7011 from 28000 to get 20989.

$$\frac{20989}{280}$$

Factor

$$\frac{139 \cdot 151}{5 \cdot 7 \cdot 2 ^ {3}} = 74\frac{269}{280} = 74.96071428571429$$