Solve 7*3/4+3*-17/12

$$7 \times \frac{ 3 }{ 4 } +3 \times - \frac{ 17 }{ 12 }$$

Evaluate

$$1$$

Solution Steps

Express 7\times \frac{3}{4} as a single fraction.

$$\frac{7\times 3}{4}+3\left(-\frac{17}{12}\right)$$

Multiply 7 and 3 to get 21.

$$\frac{21}{4}+3\left(-\frac{17}{12}\right)$$

Express 3\left(-\frac{17}{12}\right) as a single fraction.

$$\frac{21}{4}+\frac{3\left(-17\right)}{12}$$

Multiply 3 and -17 to get -51.

$$\frac{21}{4}+\frac{-51}{12}$$

Reduce the fraction \frac{-51}{12} to lowest terms by extracting and canceling out 3.

$$\frac{21}{4}-\frac{17}{4}$$

Since \frac{21}{4} and \frac{17}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-17}{4}$$

Subtract 17 from 21 to get 4.

$$\frac{4}{4}$$

Divide 4 by 4 to get 1.

$$1$$

Factor

$$1$$