Solve 2/3+6/15+1875/

$$\frac{ 2 }{ 3 } + \frac{ 6 }{ 15 } + \frac{ 1875 }{ }$$

Evaluate

$$\frac{28141}{15}\approx 1876.066666667$$

Solution Steps

Reduce the fraction \frac{6}{15} to lowest terms by extracting and canceling out 3.

$$\frac{2}{3}+\frac{2}{5}+\frac{1875}{1}$$

Least common multiple of 3 and 5 is 15. Convert \frac{2}{3} and \frac{2}{5} to fractions with denominator 15.

$$\frac{10}{15}+\frac{6}{15}+\frac{1875}{1}$$

Since \frac{10}{15} and \frac{6}{15} have the same denominator, add them by adding their numerators.

$$\frac{10+6}{15}+\frac{1875}{1}$$

Add 10 and 6 to get 16.

$$\frac{16}{15}+\frac{1875}{1}$$

Anything divided by one gives itself.

$$\frac{16}{15}+1875$$

Convert 1875 to fraction \frac{28125}{15}.

$$\frac{16}{15}+\frac{28125}{15}$$

Since \frac{16}{15} and \frac{28125}{15} have the same denominator, add them by adding their numerators.

$$\frac{16+28125}{15}$$

Add 16 and 28125 to get 28141.

$$\frac{28141}{15}$$

Factor

$$\frac{107 \cdot 263}{3 \cdot 5} = 1876\frac{1}{15} = 1876.0666666666666$$