Solve 400/411+120/69

$$\frac{ 400 }{ 411 } + 1 \frac { 20 } { 69 }$$

Evaluate

$$\frac{7131}{3151}\approx 2.263091082$$

Solution Steps

Multiply 1 and 69 to get 69.

$$\frac{400}{411}+\frac{69+20}{69}$$

Add 69 and 20 to get 89.

$$\frac{400}{411}+\frac{89}{69}$$

Least common multiple of 411 and 69 is 9453. Convert \frac{400}{411} and \frac{89}{69} to fractions with denominator 9453.

$$\frac{9200}{9453}+\frac{12193}{9453}$$

Since \frac{9200}{9453} and \frac{12193}{9453} have the same denominator, add them by adding their numerators.

$$\frac{9200+12193}{9453}$$

Add 9200 and 12193 to get 21393.

$$\frac{21393}{9453}$$

Reduce the fraction \frac{21393}{9453} to lowest terms by extracting and canceling out 3.

$$\frac{7131}{3151}$$

Factor

$$\frac{3 \cdot 2377}{23 \cdot 137} = 2\frac{829}{3151} = 2.2630910821961283$$