Solve 9*13/4-21/6-1.75+32/3

$$9 \cdot 1 \frac { 3 } { 4 } - 2 \frac { 1 } { 6 } - 1.75 + 3 \frac { 2 } { 3 }$$

Evaluate

$$15.5$$

Solution Steps

Multiply 1 and 4 to get 4.

$$9\times \frac{4+3}{4}-\frac{2\times 6+1}{6}-1.75+\frac{3\times 3+2}{3}$$

Add 4 and 3 to get 7.

$$9\times \frac{7}{4}-\frac{2\times 6+1}{6}-1.75+\frac{3\times 3+2}{3}$$

Express 9\times \frac{7}{4} as a single fraction.

$$\frac{9\times 7}{4}-\frac{2\times 6+1}{6}-1.75+\frac{3\times 3+2}{3}$$

Multiply 9 and 7 to get 63.

$$\frac{63}{4}-\frac{2\times 6+1}{6}-1.75+\frac{3\times 3+2}{3}$$

Multiply 2 and 6 to get 12.

$$\frac{63}{4}-\frac{12+1}{6}-1.75+\frac{3\times 3+2}{3}$$

Add 12 and 1 to get 13.

$$\frac{63}{4}-\frac{13}{6}-1.75+\frac{3\times 3+2}{3}$$

Least common multiple of 4 and 6 is 12. Convert \frac{63}{4} and \frac{13}{6} to fractions with denominator 12.

$$\frac{189}{12}-\frac{26}{12}-1.75+\frac{3\times 3+2}{3}$$

Since \frac{189}{12} and \frac{26}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{189-26}{12}-1.75+\frac{3\times 3+2}{3}$$

Subtract 26 from 189 to get 163.

$$\frac{163}{12}-1.75+\frac{3\times 3+2}{3}$$

Convert decimal number 1.75 to fraction \frac{175}{100}. Reduce the fraction \frac{175}{100} to lowest terms by extracting and canceling out 25.

$$\frac{163}{12}-\frac{7}{4}+\frac{3\times 3+2}{3}$$

Least common multiple of 12 and 4 is 12. Convert \frac{163}{12} and \frac{7}{4} to fractions with denominator 12.

$$\frac{163}{12}-\frac{21}{12}+\frac{3\times 3+2}{3}$$

Since \frac{163}{12} and \frac{21}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{163-21}{12}+\frac{3\times 3+2}{3}$$

Subtract 21 from 163 to get 142.

$$\frac{142}{12}+\frac{3\times 3+2}{3}$$

Reduce the fraction \frac{142}{12} to lowest terms by extracting and canceling out 2.

$$\frac{71}{6}+\frac{3\times 3+2}{3}$$

Multiply 3 and 3 to get 9.

$$\frac{71}{6}+\frac{9+2}{3}$$

Add 9 and 2 to get 11.

$$\frac{71}{6}+\frac{11}{3}$$

Least common multiple of 6 and 3 is 6. Convert \frac{71}{6} and \frac{11}{3} to fractions with denominator 6.

$$\frac{71}{6}+\frac{22}{6}$$

Since \frac{71}{6} and \frac{22}{6} have the same denominator, add them by adding their numerators.

$$\frac{71+22}{6}$$

Add 71 and 22 to get 93.

$$\frac{93}{6}$$

Reduce the fraction \frac{93}{6} to lowest terms by extracting and canceling out 3.

$$\frac{31}{2}$$

Factor

$$\frac{31}{2} = 15\frac{1}{2} = 15.5$$