Solve 3751/5+931/2+41-3/8

$$375 \frac{ 1 }{ 5 } +93 \frac{ 1 }{ 2 } +41- \frac{ 3 }{ 8 }$$

Evaluate

$$\frac{20373}{40}=509.325$$

Solution Steps

Multiply 375 and 5 to get 1875.

$$\frac{1875+1}{5}+\frac{93\times 2+1}{2}+41-\frac{3}{8}$$

Add 1875 and 1 to get 1876.

$$\frac{1876}{5}+\frac{93\times 2+1}{2}+41-\frac{3}{8}$$

Multiply 93 and 2 to get 186.

$$\frac{1876}{5}+\frac{186+1}{2}+41-\frac{3}{8}$$

Add 186 and 1 to get 187.

$$\frac{1876}{5}+\frac{187}{2}+41-\frac{3}{8}$$

Least common multiple of 5 and 2 is 10. Convert \frac{1876}{5} and \frac{187}{2} to fractions with denominator 10.

$$\frac{3752}{10}+\frac{935}{10}+41-\frac{3}{8}$$

Since \frac{3752}{10} and \frac{935}{10} have the same denominator, add them by adding their numerators.

$$\frac{3752+935}{10}+41-\frac{3}{8}$$

Add 3752 and 935 to get 4687.

$$\frac{4687}{10}+41-\frac{3}{8}$$

Convert 41 to fraction \frac{410}{10}.

$$\frac{4687}{10}+\frac{410}{10}-\frac{3}{8}$$

Since \frac{4687}{10} and \frac{410}{10} have the same denominator, add them by adding their numerators.

$$\frac{4687+410}{10}-\frac{3}{8}$$

Add 4687 and 410 to get 5097.

$$\frac{5097}{10}-\frac{3}{8}$$

Least common multiple of 10 and 8 is 40. Convert \frac{5097}{10} and \frac{3}{8} to fractions with denominator 40.

$$\frac{20388}{40}-\frac{15}{40}$$

Since \frac{20388}{40} and \frac{15}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20388-15}{40}$$

Subtract 15 from 20388 to get 20373.

$$\frac{20373}{40}$$

Factor

$$\frac{3 \cdot 6791}{2 ^ {3} \cdot 5} = 509\frac{13}{40} = 509.325$$