Solve 0.58-0.17/0.58100

$$\frac{ 0.58-0.17 }{ 0.58 } 100$$

Evaluate

$$\frac{2050}{29}\approx 70.689655172$$

Solution Steps

Subtract 0.17 from 0.58 to get 0.41.

$$\frac{0.41}{0.58}\times 100$$

Expand \frac{0.41}{0.58} by multiplying both numerator and the denominator by 100.

$$\frac{41}{58}\times 100$$

Express \frac{41}{58}\times 100 as a single fraction.

$$\frac{41\times 100}{58}$$

Multiply 41 and 100 to get 4100.

$$\frac{4100}{58}$$

Reduce the fraction \frac{4100}{58} to lowest terms by extracting and canceling out 2.

$$\frac{2050}{29}$$

Factor

$$\frac{2 \cdot 41 \cdot 5 ^ {2}}{29} = 70\frac{20}{29} = 70.6896551724138$$