Solve 250/750+2486400/1250

$$\frac { 250 } { 750 } + 2486 \frac { 400 } { 1250 }$$

Evaluate

$$\frac{186499}{75}\approx 2486.653333333$$

Solution Steps

Reduce the fraction \frac{250}{750} to lowest terms by extracting and canceling out 250.

$$\frac{1}{3}+\frac{2486\times 1250+400}{1250}$$

Multiply 2486 and 1250 to get 3107500.

$$\frac{1}{3}+\frac{3107500+400}{1250}$$

Add 3107500 and 400 to get 3107900.

$$\frac{1}{3}+\frac{3107900}{1250}$$

Reduce the fraction \frac{3107900}{1250} to lowest terms by extracting and canceling out 50.

$$\frac{1}{3}+\frac{62158}{25}$$

Least common multiple of 3 and 25 is 75. Convert \frac{1}{3} and \frac{62158}{25} to fractions with denominator 75.

$$\frac{25}{75}+\frac{186474}{75}$$

Since \frac{25}{75} and \frac{186474}{75} have the same denominator, add them by adding their numerators.

$$\frac{25+186474}{75}$$

Add 25 and 186474 to get 186499.

$$\frac{186499}{75}$$

Factor

$$\frac{29 \cdot 59 \cdot 109}{3 \cdot 5 ^ {2}} = 2486\frac{49}{75} = 2486.653333333333$$