Solve 88/35-2/0.0885

$$\frac{ \frac{ 88 }{ 35 } -2 }{ 0.0885 }$$

Evaluate

$$\frac{2400}{413}\approx 5.811138015$$

Solution Steps

Convert 2 to fraction \frac{70}{35}.

$$\frac{\frac{88}{35}-\frac{70}{35}}{0.0885}$$

Since \frac{88}{35} and \frac{70}{35} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{88-70}{35}}{0.0885}$$

Subtract 70 from 88 to get 18.

$$\frac{\frac{18}{35}}{0.0885}$$

Express \frac{\frac{18}{35}}{0.0885} as a single fraction.

$$\frac{18}{35\times 0.0885}$$

Multiply 35 and 0.0885 to get 3.0975.

$$\frac{18}{3.0975}$$

Expand \frac{18}{3.0975} by multiplying both numerator and the denominator by 10000.

$$\frac{180000}{30975}$$

Reduce the fraction \frac{180000}{30975} to lowest terms by extracting and canceling out 75.

$$\frac{2400}{413}$$

Factor

$$\frac{3 \cdot 2 ^ {5} \cdot 5 ^ {2}}{7 \cdot 59} = 5\frac{335}{413} = 5.811138014527845$$