Solve 36-2/42+1+22/40

$$\frac { 36 - 2 } { 42 } + \frac { 1 + 22 } { 40 }$$

Evaluate

$$\frac{1163}{840}\approx 1.38452381$$

Solution Steps

Subtract 2 from 36 to get 34.

$$\frac{34}{42}+\frac{1+22}{40}$$

Reduce the fraction \frac{34}{42} to lowest terms by extracting and canceling out 2.

$$\frac{17}{21}+\frac{1+22}{40}$$

Add 1 and 22 to get 23.

$$\frac{17}{21}+\frac{23}{40}$$

Least common multiple of 21 and 40 is 840. Convert \frac{17}{21} and \frac{23}{40} to fractions with denominator 840.

$$\frac{680}{840}+\frac{483}{840}$$

Since \frac{680}{840} and \frac{483}{840} have the same denominator, add them by adding their numerators.

$$\frac{680+483}{840}$$

Add 680 and 483 to get 1163.

$$\frac{1163}{840}$$

Factor

$$\frac{1163}{2 ^ {3} \cdot 3 \cdot 5 \cdot 7} = 1\frac{323}{840} = 1.3845238095238095$$