Solve 2.8*4/9-1.8*4/9

$$2.8 \times \frac { 4 } { 9 } - 1.8 \times \frac { 4 } { 9 }$$

Evaluate

$$\frac{4}{9}\approx 0.444444444$$

Solution Steps

Convert decimal number 2.8 to fraction \frac{28}{10}. Reduce the fraction \frac{28}{10} to lowest terms by extracting and canceling out 2.

$$\frac{14}{5}\times \frac{4}{9}-1.8\times \frac{4}{9}$$

Multiply \frac{14}{5} times \frac{4}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{14\times 4}{5\times 9}-1.8\times \frac{4}{9}$$

Do the multiplications in the fraction \frac{14\times 4}{5\times 9}.

$$\frac{56}{45}-1.8\times \frac{4}{9}$$

Convert decimal number 1.8 to fraction \frac{18}{10}. Reduce the fraction \frac{18}{10} to lowest terms by extracting and canceling out 2.

$$\frac{56}{45}-\frac{9}{5}\times \frac{4}{9}$$

Multiply \frac{9}{5} times \frac{4}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{56}{45}-\frac{9\times 4}{5\times 9}$$

Cancel out 9 in both numerator and denominator.

$$\frac{56}{45}-\frac{4}{5}$$

Least common multiple of 45 and 5 is 45. Convert \frac{56}{45} and \frac{4}{5} to fractions with denominator 45.

$$\frac{56}{45}-\frac{36}{45}$$

Since \frac{56}{45} and \frac{36}{45} have the same denominator, subtract them by subtracting their numerators.

$$\frac{56-36}{45}$$

Subtract 36 from 56 to get 20.

$$\frac{20}{45}$$

Reduce the fraction \frac{20}{45} to lowest terms by extracting and canceling out 5.

$$\frac{4}{9}$$

Factor

$$\frac{2 ^ {2}}{3 ^ {2}} = 0.4444444444444444$$