Solve 341/16+441/8

$$34 \frac { 1 } { 16 } + 44 \frac { 1 } { 8 }$$

Evaluate

$$\frac{1251}{16}=78.1875$$

Solution Steps

Multiply 34 and 16 to get 544.

$$\frac{544+1}{16}+\frac{44\times 8+1}{8}$$

Add 544 and 1 to get 545.

$$\frac{545}{16}+\frac{44\times 8+1}{8}$$

Multiply 44 and 8 to get 352.

$$\frac{545}{16}+\frac{352+1}{8}$$

Add 352 and 1 to get 353.

$$\frac{545}{16}+\frac{353}{8}$$

Least common multiple of 16 and 8 is 16. Convert \frac{545}{16} and \frac{353}{8} to fractions with denominator 16.

$$\frac{545}{16}+\frac{706}{16}$$

Since \frac{545}{16} and \frac{706}{16} have the same denominator, add them by adding their numerators.

$$\frac{545+706}{16}$$

Add 545 and 706 to get 1251.

$$\frac{1251}{16}$$

Factor

$$\frac{3 ^ {2} \cdot 139}{2 ^ {4}} = 78\frac{3}{16} = 78.1875$$