Solve |4,5-4,0/4,5*100

$$| \frac { 4,5 - 4,0 } { 4,5 } \times 100$$

Evaluate

$$\frac{100}{9}\approx 11,111111111$$

Solution Steps

Subtract 4 from 4,5 to get 0,5.

$$|\frac{0,5}{4,5}\times 100|$$

Expand \frac{0,5}{4,5} by multiplying both numerator and the denominator by 10.

$$|\frac{5}{45}\times 100|$$

Reduce the fraction \frac{5}{45} to lowest terms by extracting and canceling out 5.

$$|\frac{1}{9}\times 100|$$

Multiply \frac{1}{9} and 100 to get \frac{100}{9}.

$$|\frac{100}{9}|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of \frac{100}{9} is \frac{100}{9}.

$$\frac{100}{9}$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {2}}{3 ^ {2}} = 11\frac{1}{9} = 11.11111111111111$$