Solve 6,07-5,35*5/1-1,6*sqrt{9*5}

$$\frac { 6,07 - 5,35 \cdot 5 } { 1 - 1,6 \cdot \sqrt { 9 } \cdot 5 }$$

Evaluate

$$\frac{517}{575}\approx 0,899130435$$

Solution Steps

Multiply 5,35 and 5 to get 26,75.

$$\frac{6,07-26,75}{1-1,6\times 5\sqrt{9}}$$

Subtract 26,75 from 6,07 to get -20,68.

$$\frac{-20,68}{1-1,6\times 5\sqrt{9}}$$

Multiply 1,6 and 5 to get 8.

$$\frac{-20,68}{1-8\sqrt{9}}$$

Calculate the square root of 9 and get 3.

$$\frac{-20,68}{1-8\times 3}$$

Multiply 8 and 3 to get 24.

$$\frac{-20,68}{1-24}$$

Subtract 24 from 1 to get -23.

$$\frac{-20,68}{-23}$$

Expand \frac{-20,68}{-23} by multiplying both numerator and the denominator by 100.

$$\frac{-2068}{-2300}$$

Reduce the fraction \frac{-2068}{-2300} to lowest terms by extracting and canceling out -4.

$$\frac{517}{575}$$

Factor

$$\frac{11 \cdot 47}{23 \cdot 5 ^ {2}} = 0.8991304347826087$$