Solve 65/48+25/8

$$6 \frac { 5 } { 48 } + 2 \frac { 5 } { 8 }$$

Evaluate

$$\frac{419}{48}\approx 8.729166667$$

Solution Steps

Multiply 6 and 48 to get 288.

$$\frac{288+5}{48}+\frac{2\times 8+5}{8}$$

Add 288 and 5 to get 293.

$$\frac{293}{48}+\frac{2\times 8+5}{8}$$

Multiply 2 and 8 to get 16.

$$\frac{293}{48}+\frac{16+5}{8}$$

Add 16 and 5 to get 21.

$$\frac{293}{48}+\frac{21}{8}$$

Least common multiple of 48 and 8 is 48. Convert \frac{293}{48} and \frac{21}{8} to fractions with denominator 48.

$$\frac{293}{48}+\frac{126}{48}$$

Since \frac{293}{48} and \frac{126}{48} have the same denominator, add them by adding their numerators.

$$\frac{293+126}{48}$$

Add 293 and 126 to get 419.

$$\frac{419}{48}$$

Factor

$$\frac{419}{2 ^ {4} \cdot 3} = 8\frac{35}{48} = 8.729166666666666$$