Solve 3/4*82/5-3div4+0.6*75%

$$\frac { 3 } { 4 } \times 8 \frac { 2 } { 5 } - 3 \div 4 + 0.6 \times 75 \%$$

Evaluate

$$6$$

Solution Steps

Multiply 8 and 5 to get 40.

$$\frac{3}{4}\times \frac{40+2}{5}-\frac{3}{4}+0.6\times \frac{75}{100}$$

Add 40 and 2 to get 42.

$$\frac{3}{4}\times \frac{42}{5}-\frac{3}{4}+0.6\times \frac{75}{100}$$

Multiply \frac{3}{4} times \frac{42}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 42}{4\times 5}-\frac{3}{4}+0.6\times \frac{75}{100}$$

Do the multiplications in the fraction \frac{3\times 42}{4\times 5}.

$$\frac{126}{20}-\frac{3}{4}+0.6\times \frac{75}{100}$$

Reduce the fraction \frac{126}{20} to lowest terms by extracting and canceling out 2.

$$\frac{63}{10}-\frac{3}{4}+0.6\times \frac{75}{100}$$

Least common multiple of 10 and 4 is 20. Convert \frac{63}{10} and \frac{3}{4} to fractions with denominator 20.

$$\frac{126}{20}-\frac{15}{20}+0.6\times \frac{75}{100}$$

Since \frac{126}{20} and \frac{15}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{126-15}{20}+0.6\times \frac{75}{100}$$

Subtract 15 from 126 to get 111.

$$\frac{111}{20}+0.6\times \frac{75}{100}$$

Reduce the fraction \frac{75}{100} to lowest terms by extracting and canceling out 25.

$$\frac{111}{20}+0.6\times \frac{3}{4}$$

Convert decimal number 0.6 to fraction \frac{6}{10}. Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{111}{20}+\frac{3}{5}\times \frac{3}{4}$$

Multiply \frac{3}{5} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{111}{20}+\frac{3\times 3}{5\times 4}$$

Do the multiplications in the fraction \frac{3\times 3}{5\times 4}.

$$\frac{111}{20}+\frac{9}{20}$$

Since \frac{111}{20} and \frac{9}{20} have the same denominator, add them by adding their numerators.

$$\frac{111+9}{20}$$

Add 111 and 9 to get 120.

$$\frac{120}{20}$$

Divide 120 by 20 to get 6.

$$6$$

Factor

$$2\times 3$$