Solve 7/40+13/50

$$\frac { 7 } { 40 } + \frac { 13 } { 50 }$$

Evaluate

$$\frac{87}{200}=0.435$$

Solution Steps

Least common multiple of 40 and 50 is 200. Convert \frac{7}{40} and \frac{13}{50} to fractions with denominator 200.

$$\frac{35}{200}+\frac{52}{200}$$

Since \frac{35}{200} and \frac{52}{200} have the same denominator, add them by adding their numerators.

$$\frac{35+52}{200}$$

Add 35 and 52 to get 87.

$$\frac{87}{200}$$

Factor

$$\frac{3 \cdot 29}{2 ^ {3} \cdot 5 ^ {2}} = 0.435$$