Solve 1.1-0.65*2.01/0.0052*219.86=

$$1.1- \frac{ 0.65 \times 2.01 }{ 0.0052 \times 219.86 } =$$

Evaluate

$$-\frac{2351}{54965}\approx -0.042772674$$

Solution Steps

Multiply 0.65 and 2.01 to get 1.3065.

$$1.1-\frac{1.3065}{0.0052\times 219.86}$$

Multiply 0.0052 and 219.86 to get 1.143272.

$$1.1-\frac{1.3065}{1.143272}$$

Expand \frac{1.3065}{1.143272} by multiplying both numerator and the denominator by 1000000.

$$1.1-\frac{1306500}{1143272}$$

Reduce the fraction \frac{1306500}{1143272} to lowest terms by extracting and canceling out 52.

$$1.1-\frac{25125}{21986}$$

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

$$\frac{11}{10}-\frac{25125}{21986}$$

Least common multiple of 10 and 21986 is 109930. Convert \frac{11}{10} and \frac{25125}{21986} to fractions with denominator 109930.

$$\frac{120923}{109930}-\frac{125625}{109930}$$

Since \frac{120923}{109930} and \frac{125625}{109930} have the same denominator, subtract them by subtracting their numerators.

$$\frac{120923-125625}{109930}$$

Subtract 125625 from 120923 to get -4702.

$$\frac{-4702}{109930}$$

Reduce the fraction \frac{-4702}{109930} to lowest terms by extracting and canceling out 2.

$$-\frac{2351}{54965}$$

Factor

$$-\frac{2351}{54965} = -0.042772673519512416$$