Solve 6.55*3/5+0.45*6-60%

$$6.55 \times \frac{ 3 }{ 5 } +0.45 \times 6-60 \%$$

Evaluate

$$6.03$$

Solution Steps

Convert decimal number 6.55 to fraction \frac{655}{100}. Reduce the fraction \frac{655}{100} to lowest terms by extracting and canceling out 5.

$$\frac{131}{20}\times \frac{3}{5}+0.45\times 6-\frac{60}{100}$$

Multiply \frac{131}{20} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{131\times 3}{20\times 5}+0.45\times 6-\frac{60}{100}$$

Do the multiplications in the fraction \frac{131\times 3}{20\times 5}.

$$\frac{393}{100}+0.45\times 6-\frac{60}{100}$$

Multiply 0.45 and 6 to get 2.7.

$$\frac{393}{100}+2.7-\frac{60}{100}$$

Convert decimal number 2.7 to fraction \frac{27}{10}.

$$\frac{393}{100}+\frac{27}{10}-\frac{60}{100}$$

Least common multiple of 100 and 10 is 100. Convert \frac{393}{100} and \frac{27}{10} to fractions with denominator 100.

$$\frac{393}{100}+\frac{270}{100}-\frac{60}{100}$$

Since \frac{393}{100} and \frac{270}{100} have the same denominator, add them by adding their numerators.

$$\frac{393+270}{100}-\frac{60}{100}$$

Add 393 and 270 to get 663.

$$\frac{663}{100}-\frac{60}{100}$$

Since \frac{663}{100} and \frac{60}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{663-60}{100}$$

Subtract 60 from 663 to get 603.

$$\frac{603}{100}$$

Factor

$$\frac{67 \cdot 3 ^ {2}}{2 ^ {2} \cdot 5 ^ {2}} = 6\frac{3}{100} = 6.03$$