Solve -6/1.1+6/0.1

$$\frac{ - \frac{ 6 }{ 1.1 } +6 }{ 0.1 }$$

Evaluate

$$\frac{60}{11}\approx 5.454545455$$

Solution Steps

Expand \frac{6}{1.1} by multiplying both numerator and the denominator by 10.

$$\frac{-\frac{60}{11}+6}{0.1}$$

Convert 6 to fraction \frac{66}{11}.

$$\frac{-\frac{60}{11}+\frac{66}{11}}{0.1}$$

Since -\frac{60}{11} and \frac{66}{11} have the same denominator, add them by adding their numerators.

$$\frac{\frac{-60+66}{11}}{0.1}$$

Add -60 and 66 to get 6.

$$\frac{\frac{6}{11}}{0.1}$$

Express \frac{\frac{6}{11}}{0.1} as a single fraction.

$$\frac{6}{11\times 0.1}$$

Multiply 11 and 0.1 to get 1.1.

$$\frac{6}{1.1}$$

Expand \frac{6}{1.1} by multiplying both numerator and the denominator by 10.

$$\frac{60}{11}$$

Factor

$$\frac{3 \cdot 5 \cdot 2 ^ {2}}{11} = 5\frac{5}{11} = 5.454545454545454$$