Solve 4/5(3+0.4)-3.21

$$\frac{ 4 }{ 5 } (3+0.4)-3.21$$

Evaluate

$$-0.49$$

Solution Steps

Add 3 and 0.4 to get 3.4.

$$\frac{4}{5}\times 3.4-3.21$$

Convert decimal number 3.4 to fraction \frac{34}{10}. Reduce the fraction \frac{34}{10} to lowest terms by extracting and canceling out 2.

$$\frac{4}{5}\times \frac{17}{5}-3.21$$

Multiply \frac{4}{5} times \frac{17}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 17}{5\times 5}-3.21$$

Do the multiplications in the fraction \frac{4\times 17}{5\times 5}.

$$\frac{68}{25}-3.21$$

Convert decimal number 3.21 to fraction \frac{321}{100}.

$$\frac{68}{25}-\frac{321}{100}$$

Least common multiple of 25 and 100 is 100. Convert \frac{68}{25} and \frac{321}{100} to fractions with denominator 100.

$$\frac{272}{100}-\frac{321}{100}$$

Since \frac{272}{100} and \frac{321}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{272-321}{100}$$

Subtract 321 from 272 to get -49.

$$-\frac{49}{100}$$

Factor

$$-0.49$$