Solve 4div7+5div3-42div8

$$4 \div 7+5 \div 3-42 \div 8$$

Evaluate

$$-\frac{253}{84}\approx -3.011904762$$

Solution Steps

Least common multiple of 7 and 3 is 21. Convert \frac{4}{7} and \frac{5}{3} to fractions with denominator 21.

$$\frac{12}{21}+\frac{35}{21}-\frac{42}{8}$$

Since \frac{12}{21} and \frac{35}{21} have the same denominator, add them by adding their numerators.

$$\frac{12+35}{21}-\frac{42}{8}$$

Add 12 and 35 to get 47.

$$\frac{47}{21}-\frac{42}{8}$$

Reduce the fraction \frac{42}{8} to lowest terms by extracting and canceling out 2.

$$\frac{47}{21}-\frac{21}{4}$$

Least common multiple of 21 and 4 is 84. Convert \frac{47}{21} and \frac{21}{4} to fractions with denominator 84.

$$\frac{188}{84}-\frac{441}{84}$$

Since \frac{188}{84} and \frac{441}{84} have the same denominator, subtract them by subtracting their numerators.

$$\frac{188-441}{84}$$

Subtract 441 from 188 to get -253.

$$-\frac{253}{84}$$

Factor

$$-\frac{253}{84} = -3\frac{1}{84} = -3.011904761904762$$