Solve [(3.40-2.80):2.80]*100=

$$[ ( 3.40 - 2.80 ) : 2.80 ] \times 100 =$$

Evaluate

$$\frac{150}{7}\approx 21.428571429$$

Solution Steps

Subtract 2.8 from 3.4 to get 0.6.

$$\frac{0.6}{2.8}\times 100$$

Expand \frac{0.6}{2.8} by multiplying both numerator and the denominator by 10.

$$\frac{6}{28}\times 100$$

Reduce the fraction \frac{6}{28} to lowest terms by extracting and canceling out 2.

$$\frac{3}{14}\times 100$$

Express \frac{3}{14}\times 100 as a single fraction.

$$\frac{3\times 100}{14}$$

Multiply 3 and 100 to get 300.

$$\frac{300}{14}$$

Reduce the fraction \frac{300}{14} to lowest terms by extracting and canceling out 2.

$$\frac{150}{7}$$

Factor

$$\frac{2 \cdot 3 \cdot 5 ^ {2}}{7} = 21\frac{3}{7} = 21.428571428571427$$