Solve 15.3div3-1/4text{of}(19.6-6.8)+0.5*7.5

$$15.3 \div 3 - \frac { 1 } { 4 } \text { of } ( 19.6 - 6.8 ) + 0.5 \times 7.5$$

Evaluate

$$5.65$$

Solution Steps

Expand \frac{15.3}{3} by multiplying both numerator and the denominator by 10.

$$\frac{153}{30}-\frac{1}{4}\left(19.6-6.8\right)+0.5\times 7.5$$

Reduce the fraction \frac{153}{30} to lowest terms by extracting and canceling out 3.

$$\frac{51}{10}-\frac{1}{4}\left(19.6-6.8\right)+0.5\times 7.5$$

Subtract 6.8 from 19.6 to get 12.8.

$$\frac{51}{10}-\frac{1}{4}\times 12.8+0.5\times 7.5$$

Convert decimal number 12.8 to fraction \frac{128}{10}. Reduce the fraction \frac{128}{10} to lowest terms by extracting and canceling out 2.

$$\frac{51}{10}-\frac{1}{4}\times \frac{64}{5}+0.5\times 7.5$$

Multiply \frac{1}{4} times \frac{64}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{51}{10}-\frac{1\times 64}{4\times 5}+0.5\times 7.5$$

Do the multiplications in the fraction \frac{1\times 64}{4\times 5}.

$$\frac{51}{10}-\frac{64}{20}+0.5\times 7.5$$

Reduce the fraction \frac{64}{20} to lowest terms by extracting and canceling out 4.

$$\frac{51}{10}-\frac{16}{5}+0.5\times 7.5$$

Least common multiple of 10 and 5 is 10. Convert \frac{51}{10} and \frac{16}{5} to fractions with denominator 10.

$$\frac{51}{10}-\frac{32}{10}+0.5\times 7.5$$

Since \frac{51}{10} and \frac{32}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{51-32}{10}+0.5\times 7.5$$

Subtract 32 from 51 to get 19.

$$\frac{19}{10}+0.5\times 7.5$$

Multiply 0.5 and 7.5 to get 3.75.

$$\frac{19}{10}+3.75$$

Convert decimal number 3.75 to fraction \frac{375}{100}. Reduce the fraction \frac{375}{100} to lowest terms by extracting and canceling out 25.

$$\frac{19}{10}+\frac{15}{4}$$

Least common multiple of 10 and 4 is 20. Convert \frac{19}{10} and \frac{15}{4} to fractions with denominator 20.

$$\frac{38}{20}+\frac{75}{20}$$

Since \frac{38}{20} and \frac{75}{20} have the same denominator, add them by adding their numerators.

$$\frac{38+75}{20}$$

Add 38 and 75 to get 113.

$$\frac{113}{20}$$

Factor

$$\frac{113}{5 \cdot 2 ^ {2}} = 5\frac{13}{20} = 5.65$$