Solve 8,2-(8,2*1/18)=

$$8,2 - ( 8,2 \cdot \frac { 1 } { 18 } ) =$$

Evaluate

$$\frac{697}{90}\approx 7,744444444$$

Solution Steps

Convert decimal number 8,2 to fraction \frac{82}{10}. Reduce the fraction \frac{82}{10} to lowest terms by extracting and canceling out 2.

$$8,2-\frac{41}{5}\times \frac{1}{18}$$

Multiply \frac{41}{5} times \frac{1}{18} by multiplying numerator times numerator and denominator times denominator.

$$8,2-\frac{41\times 1}{5\times 18}$$

Do the multiplications in the fraction \frac{41\times 1}{5\times 18}.

$$8,2-\frac{41}{90}$$

Convert decimal number 8,2 to fraction \frac{82}{10}. Reduce the fraction \frac{82}{10} to lowest terms by extracting and canceling out 2.

$$\frac{41}{5}-\frac{41}{90}$$

Least common multiple of 5 and 90 is 90. Convert \frac{41}{5} and \frac{41}{90} to fractions with denominator 90.

$$\frac{738}{90}-\frac{41}{90}$$

Since \frac{738}{90} and \frac{41}{90} have the same denominator, subtract them by subtracting their numerators.

$$\frac{738-41}{90}$$

Subtract 41 from 738 to get 697.

$$\frac{697}{90}$$

Factor

$$\frac{17 \cdot 41}{2 \cdot 5 \cdot 3 ^ {2}} = 7\frac{67}{90} = 7.7444444444444445$$