Solve 5-8/5*625/312

$$5 - \frac { 8 } { 5 } \times \frac { 625 } { 312 }$$

Evaluate

$$\frac{70}{39}\approx 1.794871795$$

Solution Steps

Multiply \frac{8}{5} times \frac{625}{312} by multiplying numerator times numerator and denominator times denominator.

$$5-\frac{8\times 625}{5\times 312}$$

Do the multiplications in the fraction \frac{8\times 625}{5\times 312}.

$$5-\frac{5000}{1560}$$

Reduce the fraction \frac{5000}{1560} to lowest terms by extracting and canceling out 40.

$$5-\frac{125}{39}$$

Convert 5 to fraction \frac{195}{39}.

$$\frac{195}{39}-\frac{125}{39}$$

Since \frac{195}{39} and \frac{125}{39} have the same denominator, subtract them by subtracting their numerators.

$$\frac{195-125}{39}$$

Subtract 125 from 195 to get 70.

$$\frac{70}{39}$$

Factor

$$\frac{2 \cdot 5 \cdot 7}{3 \cdot 13} = 1\frac{31}{39} = 1.794871794871795$$