Solve -6.7/107-6.9/1.07

$$\frac { - 6.7 } { 107 } - \frac { 6.9 } { 1.07 }$$

Evaluate

$$-\frac{6967}{1070}\approx -6.511214953$$

Solution Steps

Expand \frac{-6.7}{107} by multiplying both numerator and the denominator by 10.

$$\frac{-67}{1070}-\frac{6.9}{1.07}$$

Fraction \frac{-67}{1070} can be rewritten as -\frac{67}{1070} by extracting the negative sign.

$$-\frac{67}{1070}-\frac{6.9}{1.07}$$

Expand \frac{6.9}{1.07} by multiplying both numerator and the denominator by 100.

$$-\frac{67}{1070}-\frac{690}{107}$$

Least common multiple of 1070 and 107 is 1070. Convert -\frac{67}{1070} and \frac{690}{107} to fractions with denominator 1070.

$$-\frac{67}{1070}-\frac{6900}{1070}$$

Since -\frac{67}{1070} and \frac{6900}{1070} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-67-6900}{1070}$$

Subtract 6900 from -67 to get -6967.

$$-\frac{6967}{1070}$$

Factor

$$-\frac{6967}{1070} = -6\frac{547}{1070} = -6.511214953271028$$