Solve 1017/8+1023/4+1031/2

$$101 \frac{ 7 }{ 8 } +102 \frac{ 3 }{ 4 } +103 \frac{ 1 }{ 2 }$$

Evaluate

$$\frac{2465}{8}=308.125$$

Solution Steps

Multiply 101 and 8 to get 808.

$$\frac{808+7}{8}+\frac{102\times 4+3}{4}+\frac{103\times 2+1}{2}$$

Add 808 and 7 to get 815.

$$\frac{815}{8}+\frac{102\times 4+3}{4}+\frac{103\times 2+1}{2}$$

Multiply 102 and 4 to get 408.

$$\frac{815}{8}+\frac{408+3}{4}+\frac{103\times 2+1}{2}$$

Add 408 and 3 to get 411.

$$\frac{815}{8}+\frac{411}{4}+\frac{103\times 2+1}{2}$$

Least common multiple of 8 and 4 is 8. Convert \frac{815}{8} and \frac{411}{4} to fractions with denominator 8.

$$\frac{815}{8}+\frac{822}{8}+\frac{103\times 2+1}{2}$$

Since \frac{815}{8} and \frac{822}{8} have the same denominator, add them by adding their numerators.

$$\frac{815+822}{8}+\frac{103\times 2+1}{2}$$

Add 815 and 822 to get 1637.

$$\frac{1637}{8}+\frac{103\times 2+1}{2}$$

Multiply 103 and 2 to get 206.

$$\frac{1637}{8}+\frac{206+1}{2}$$

Add 206 and 1 to get 207.

$$\frac{1637}{8}+\frac{207}{2}$$

Least common multiple of 8 and 2 is 8. Convert \frac{1637}{8} and \frac{207}{2} to fractions with denominator 8.

$$\frac{1637}{8}+\frac{828}{8}$$

Since \frac{1637}{8} and \frac{828}{8} have the same denominator, add them by adding their numerators.

$$\frac{1637+828}{8}$$

Add 1637 and 828 to get 2465.

$$\frac{2465}{8}$$

Factor

$$\frac{5 \cdot 17 \cdot 29}{2 ^ {3}} = 308\frac{1}{8} = 308.125$$