Solve 50.5-6div7-8+7

$$50.5 - 6 \div 7 - 8 + 7$$

Evaluate

$$\frac{681}{14}\approx 48.642857143$$

Solution Steps

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.

$$\frac{101}{2}-\frac{6}{7}-8+7$$

Least common multiple of 2 and 7 is 14. Convert \frac{101}{2} and \frac{6}{7} to fractions with denominator 14.

$$\frac{707}{14}-\frac{12}{14}-8+7$$

Since \frac{707}{14} and \frac{12}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{707-12}{14}-8+7$$

Subtract 12 from 707 to get 695.

$$\frac{695}{14}-8+7$$

Convert 8 to fraction \frac{112}{14}.

$$\frac{695}{14}-\frac{112}{14}+7$$

Since \frac{695}{14} and \frac{112}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{695-112}{14}+7$$

Subtract 112 from 695 to get 583.

$$\frac{583}{14}+7$$

Convert 7 to fraction \frac{98}{14}.

$$\frac{583}{14}+\frac{98}{14}$$

Since \frac{583}{14} and \frac{98}{14} have the same denominator, add them by adding their numerators.

$$\frac{583+98}{14}$$

Add 583 and 98 to get 681.

$$\frac{681}{14}$$

Factor

$$\frac{3 \cdot 227}{2 \cdot 7} = 48\frac{9}{14} = 48.642857142857146$$