Solve 50.5+18*90/100-7/1110

$$50.5+ \frac{ \frac{ 18 \cdot 90 }{ 100 } -7 }{ 11 } 10$$

Evaluate

$$\frac{1295}{22}\approx 58.863636364$$

Solution Steps

Multiply 18 and 90 to get 1620.

$$50.5+\frac{\frac{1620}{100}-7}{11}\times 10$$

Reduce the fraction \frac{1620}{100} to lowest terms by extracting and canceling out 20.

$$50.5+\frac{\frac{81}{5}-7}{11}\times 10$$

Convert 7 to fraction \frac{35}{5}.

$$50.5+\frac{\frac{81}{5}-\frac{35}{5}}{11}\times 10$$

Since \frac{81}{5} and \frac{35}{5} have the same denominator, subtract them by subtracting their numerators.

$$50.5+\frac{\frac{81-35}{5}}{11}\times 10$$

Subtract 35 from 81 to get 46.

$$50.5+\frac{\frac{46}{5}}{11}\times 10$$

Express \frac{\frac{46}{5}}{11} as a single fraction.

$$50.5+\frac{46}{5\times 11}\times 10$$

Multiply 5 and 11 to get 55.

$$50.5+\frac{46}{55}\times 10$$

Express \frac{46}{55}\times 10 as a single fraction.

$$50.5+\frac{46\times 10}{55}$$

Multiply 46 and 10 to get 460.

$$50.5+\frac{460}{55}$$

Reduce the fraction \frac{460}{55} to lowest terms by extracting and canceling out 5.

$$50.5+\frac{92}{11}$$

Convert decimal number 50.5 to fraction \frac{505}{10}. Reduce the fraction \frac{505}{10} to lowest terms by extracting and canceling out 5.

$$\frac{101}{2}+\frac{92}{11}$$

Least common multiple of 2 and 11 is 22. Convert \frac{101}{2} and \frac{92}{11} to fractions with denominator 22.

$$\frac{1111}{22}+\frac{184}{22}$$

Since \frac{1111}{22} and \frac{184}{22} have the same denominator, add them by adding their numerators.

$$\frac{1111+184}{22}$$

Add 1111 and 184 to get 1295.

$$\frac{1295}{22}$$

Factor

$$\frac{5 \cdot 7 \cdot 37}{2 \cdot 11} = 58\frac{19}{22} = 58.86363636363637$$