Solve 1+1/3+1.3/3.6+13.5/36.9

$$1 + \frac { 1 } { 3 } + \frac { 1.3 } { 3.6 } + \frac { 13.5 } { 36.9 }$$

Evaluate

$$\frac{3041}{1476}\approx 2.060298103$$

Solution Steps

Convert 1 to fraction \frac{3}{3}.

$$\frac{3}{3}+\frac{1}{3}+\frac{1.3}{3.6}+\frac{13.5}{36.9}$$

Since \frac{3}{3} and \frac{1}{3} have the same denominator, add them by adding their numerators.

$$\frac{3+1}{3}+\frac{1.3}{3.6}+\frac{13.5}{36.9}$$

Add 3 and 1 to get 4.

$$\frac{4}{3}+\frac{1.3}{3.6}+\frac{13.5}{36.9}$$

Expand \frac{1.3}{3.6} by multiplying both numerator and the denominator by 10.

$$\frac{4}{3}+\frac{13}{36}+\frac{13.5}{36.9}$$

Least common multiple of 3 and 36 is 36. Convert \frac{4}{3} and \frac{13}{36} to fractions with denominator 36.

$$\frac{48}{36}+\frac{13}{36}+\frac{13.5}{36.9}$$

Since \frac{48}{36} and \frac{13}{36} have the same denominator, add them by adding their numerators.

$$\frac{48+13}{36}+\frac{13.5}{36.9}$$

Add 48 and 13 to get 61.

$$\frac{61}{36}+\frac{13.5}{36.9}$$

Expand \frac{13.5}{36.9} by multiplying both numerator and the denominator by 10.

$$\frac{61}{36}+\frac{135}{369}$$

Reduce the fraction \frac{135}{369} to lowest terms by extracting and canceling out 9.

$$\frac{61}{36}+\frac{15}{41}$$

Least common multiple of 36 and 41 is 1476. Convert \frac{61}{36} and \frac{15}{41} to fractions with denominator 1476.

$$\frac{2501}{1476}+\frac{540}{1476}$$

Since \frac{2501}{1476} and \frac{540}{1476} have the same denominator, add them by adding their numerators.

$$\frac{2501+540}{1476}$$

Add 2501 and 540 to get 3041.

$$\frac{3041}{1476}$$

Factor

$$\frac{3041}{41 \cdot 2 ^ {2} \cdot 3 ^ {2}} = 2\frac{89}{1476} = 2.06029810298103$$