Solve 545/245+1/3

$$\frac { 545 } { 245 } + \frac { 1 } { 3 }$$

Evaluate

$$\frac{376}{147}\approx 2.557823129$$

Solution Steps

Reduce the fraction \frac{545}{245} to lowest terms by extracting and canceling out 5.

$$\frac{109}{49}+\frac{1}{3}$$

Least common multiple of 49 and 3 is 147. Convert \frac{109}{49} and \frac{1}{3} to fractions with denominator 147.

$$\frac{327}{147}+\frac{49}{147}$$

Since \frac{327}{147} and \frac{49}{147} have the same denominator, add them by adding their numerators.

$$\frac{327+49}{147}$$

Add 327 and 49 to get 376.

$$\frac{376}{147}$$

Factor

$$\frac{2 ^ {3} \cdot 47}{3 \cdot 7 ^ {2}} = 2\frac{82}{147} = 2.557823129251701$$