Solve 1.1-0.65*2.01/0.005*219.86

$$1.1- \frac{ 0.65 \cdot 2.01 }{ 0.005 \cdot 219.86 }$$

Evaluate

$$-\frac{9727}{109930}\approx -0.08848358$$

Solution Steps

Multiply 0.65 and 2.01 to get 1.3065.

$$1.1-\frac{1.3065}{0.005\times 219.86}$$

Multiply 0.005 and 219.86 to get 1.0993.

$$1.1-\frac{1.3065}{1.0993}$$

Expand \frac{1.3065}{1.0993} by multiplying both numerator and the denominator by 10000.

$$1.1-\frac{13065}{10993}$$

Convert decimal number 1.1 to fraction \frac{11}{10}.

$$\frac{11}{10}-\frac{13065}{10993}$$

Least common multiple of 10 and 10993 is 109930. Convert \frac{11}{10} and \frac{13065}{10993} to fractions with denominator 109930.

$$\frac{120923}{109930}-\frac{130650}{109930}$$

Since \frac{120923}{109930} and \frac{130650}{109930} have the same denominator, subtract them by subtracting their numerators.

$$\frac{120923-130650}{109930}$$

Subtract 130650 from 120923 to get -9727.

$$-\frac{9727}{109930}$$

Factor

$$-\frac{9727}{109930} = -0.08848358046029291$$