Solve |1,2-7|/2,1-1,5

$$\frac { | 1,2 - 7 | } { 2,1 - 1,5 }$$

Evaluate

$$\frac{29}{3}\approx 9,666666667$$

Solution Steps

Subtract 7 from 1,2 to get -5,8.

$$\frac{|-5,8|}{2,1-1,5}$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -5,8 is 5,8.

$$\frac{5,8}{2,1-1,5}$$

Subtract 1,5 from 2,1 to get 0,6.

$$\frac{5,8}{0,6}$$

Expand \frac{5,8}{0,6} by multiplying both numerator and the denominator by 10.

$$\frac{58}{6}$$

Reduce the fraction \frac{58}{6} to lowest terms by extracting and canceling out 2.

$$\frac{29}{3}$$

Factor

$$\frac{29}{3} = 9\frac{2}{3} = 9.666666666666666$$