Solve 91/228+35/76+5/38+1/114

$$\frac{ 91 }{ 228 } + \frac{ 35 }{ 76 } + \frac{ 5 }{ 38 } + \frac{ 1 }{ 114 }$$

Evaluate

$$1$$

Solution Steps

Least common multiple of 228 and 76 is 228. Convert \frac{91}{228} and \frac{35}{76} to fractions with denominator 228.

$$\frac{91}{228}+\frac{105}{228}+\frac{5}{38}+\frac{1}{114}$$

Since \frac{91}{228} and \frac{105}{228} have the same denominator, add them by adding their numerators.

$$\frac{91+105}{228}+\frac{5}{38}+\frac{1}{114}$$

Add 91 and 105 to get 196.

$$\frac{196}{228}+\frac{5}{38}+\frac{1}{114}$$

Reduce the fraction \frac{196}{228} to lowest terms by extracting and canceling out 4.

$$\frac{49}{57}+\frac{5}{38}+\frac{1}{114}$$

Least common multiple of 57 and 38 is 114. Convert \frac{49}{57} and \frac{5}{38} to fractions with denominator 114.

$$\frac{98}{114}+\frac{15}{114}+\frac{1}{114}$$

Since \frac{98}{114} and \frac{15}{114} have the same denominator, add them by adding their numerators.

$$\frac{98+15}{114}+\frac{1}{114}$$

Add 98 and 15 to get 113.

$$\frac{113}{114}+\frac{1}{114}$$

Since \frac{113}{114} and \frac{1}{114} have the same denominator, add them by adding their numerators.

$$\frac{113+1}{114}$$

Add 113 and 1 to get 114.

$$\frac{114}{114}$$

Divide 114 by 114 to get 1.

$$1$$

Factor

$$1$$