Solve 1/90+1/90+4=

$$\frac { 1 } { 90 } + \frac { 1 } { 90 + 4 } =$$

Evaluate

$$\frac{46}{2115}\approx 0.021749409$$

Solution Steps

Add 90 and 4 to get 94.

$$\frac{1}{90}+\frac{1}{94}$$

Least common multiple of 90 and 94 is 4230. Convert \frac{1}{90} and \frac{1}{94} to fractions with denominator 4230.

$$\frac{47}{4230}+\frac{45}{4230}$$

Since \frac{47}{4230} and \frac{45}{4230} have the same denominator, add them by adding their numerators.

$$\frac{47+45}{4230}$$

Add 47 and 45 to get 92.

$$\frac{92}{4230}$$

Reduce the fraction \frac{92}{4230} to lowest terms by extracting and canceling out 2.

$$\frac{46}{2115}$$

Factor

$$\frac{2 \cdot 23}{3 ^ {2} \cdot 5 \cdot 47} = 0.021749408983451537$$