Solve 4-75*8/19+142/3div11

$$4 - 75 \times \frac { 8 } { 19 } + 14 \frac { 2 } { 3 } \div 11$$

Evaluate

$$-\frac{1496}{57}\approx -26.245614035$$

Solution Steps

Express 75\times \frac{8}{19} as a single fraction.

$$4-\frac{75\times 8}{19}+\frac{\frac{14\times 3+2}{3}}{11}$$

Multiply 75 and 8 to get 600.

$$4-\frac{600}{19}+\frac{\frac{14\times 3+2}{3}}{11}$$

Convert 4 to fraction \frac{76}{19}.

$$\frac{76}{19}-\frac{600}{19}+\frac{\frac{14\times 3+2}{3}}{11}$$

Since \frac{76}{19} and \frac{600}{19} have the same denominator, subtract them by subtracting their numerators.

$$\frac{76-600}{19}+\frac{\frac{14\times 3+2}{3}}{11}$$

Subtract 600 from 76 to get -524.

$$-\frac{524}{19}+\frac{\frac{14\times 3+2}{3}}{11}$$

Express \frac{\frac{14\times 3+2}{3}}{11} as a single fraction.

$$-\frac{524}{19}+\frac{14\times 3+2}{3\times 11}$$

Multiply 14 and 3 to get 42.

$$-\frac{524}{19}+\frac{42+2}{3\times 11}$$

Add 42 and 2 to get 44.

$$-\frac{524}{19}+\frac{44}{3\times 11}$$

Multiply 3 and 11 to get 33.

$$-\frac{524}{19}+\frac{44}{33}$$

Reduce the fraction \frac{44}{33} to lowest terms by extracting and canceling out 11.

$$-\frac{524}{19}+\frac{4}{3}$$

Least common multiple of 19 and 3 is 57. Convert -\frac{524}{19} and \frac{4}{3} to fractions with denominator 57.

$$-\frac{1572}{57}+\frac{76}{57}$$

Since -\frac{1572}{57} and \frac{76}{57} have the same denominator, add them by adding their numerators.

$$\frac{-1572+76}{57}$$

Add -1572 and 76 to get -1496.

$$-\frac{1496}{57}$$

Factor

$$-\frac{1496}{57} = -26\frac{14}{57} = -26.24561403508772$$