Solve 60.5+(90/4-18/21)*10

$$60.5+( \frac{ \frac{ 90 }{ 4 } -18 }{ 21 } ) \times 10$$

Evaluate

$$\frac{877}{14}\approx 62.642857143$$

Solution Steps

Reduce the fraction \frac{90}{4} to lowest terms by extracting and canceling out 2.

$$60.5+\frac{\frac{45}{2}-18}{21}\times 10$$

Convert 18 to fraction \frac{36}{2}.

$$60.5+\frac{\frac{45}{2}-\frac{36}{2}}{21}\times 10$$

Since \frac{45}{2} and \frac{36}{2} have the same denominator, subtract them by subtracting their numerators.

$$60.5+\frac{\frac{45-36}{2}}{21}\times 10$$

Subtract 36 from 45 to get 9.

$$60.5+\frac{\frac{9}{2}}{21}\times 10$$

Express \frac{\frac{9}{2}}{21} as a single fraction.

$$60.5+\frac{9}{2\times 21}\times 10$$

Multiply 2 and 21 to get 42.

$$60.5+\frac{9}{42}\times 10$$

Reduce the fraction \frac{9}{42} to lowest terms by extracting and canceling out 3.

$$60.5+\frac{3}{14}\times 10$$

Express \frac{3}{14}\times 10 as a single fraction.

$$60.5+\frac{3\times 10}{14}$$

Multiply 3 and 10 to get 30.

$$60.5+\frac{30}{14}$$

Reduce the fraction \frac{30}{14} to lowest terms by extracting and canceling out 2.

$$60.5+\frac{15}{7}$$

Convert decimal number 60.5 to fraction \frac{605}{10}. Reduce the fraction \frac{605}{10} to lowest terms by extracting and canceling out 5.

$$\frac{121}{2}+\frac{15}{7}$$

Least common multiple of 2 and 7 is 14. Convert \frac{121}{2} and \frac{15}{7} to fractions with denominator 14.

$$\frac{847}{14}+\frac{30}{14}$$

Since \frac{847}{14} and \frac{30}{14} have the same denominator, add them by adding their numerators.

$$\frac{847+30}{14}$$

Add 847 and 30 to get 877.

$$\frac{877}{14}$$

Factor

$$\frac{877}{2 \cdot 7} = 62\frac{9}{14} = 62.642857142857146$$