Solve 23/5+1000/148=

$$2 \frac { 3 } { 5 } + \frac { 1000 } { 148 } =$$

Evaluate

$$\frac{1731}{185}\approx 9.356756757$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10+3}{5}+\frac{1000}{148}$$

Add 10 and 3 to get 13.

$$\frac{13}{5}+\frac{1000}{148}$$

Reduce the fraction \frac{1000}{148} to lowest terms by extracting and canceling out 4.

$$\frac{13}{5}+\frac{250}{37}$$

Least common multiple of 5 and 37 is 185. Convert \frac{13}{5} and \frac{250}{37} to fractions with denominator 185.

$$\frac{481}{185}+\frac{1250}{185}$$

Since \frac{481}{185} and \frac{1250}{185} have the same denominator, add them by adding their numerators.

$$\frac{481+1250}{185}$$

Add 481 and 1250 to get 1731.

$$\frac{1731}{185}$$

Factor

$$\frac{3 \cdot 577}{5 \cdot 37} = 9\frac{66}{185} = 9.356756756756758$$