Solve 1.09div2+1.19*0.5+5.6=

$$1.09 \div 2+1.19 \times 0.5+5.6=$$

Evaluate

$$6.74$$

Solution Steps

Expand \frac{1.09}{2} by multiplying both numerator and the denominator by 100.

$$\frac{109}{200}+1.19\times 0.5+5.6$$

Multiply 1.19 and 0.5 to get 0.595.

$$\frac{109}{200}+0.595+5.6$$

Convert decimal number 0.595 to fraction \frac{595}{1000}. Reduce the fraction \frac{595}{1000} to lowest terms by extracting and canceling out 5.

$$\frac{109}{200}+\frac{119}{200}+5.6$$

Since \frac{109}{200} and \frac{119}{200} have the same denominator, add them by adding their numerators.

$$\frac{109+119}{200}+5.6$$

Add 109 and 119 to get 228.

$$\frac{228}{200}+5.6$$

Reduce the fraction \frac{228}{200} to lowest terms by extracting and canceling out 4.

$$\frac{57}{50}+5.6$$

Convert decimal number 5.6 to fraction \frac{56}{10}. Reduce the fraction \frac{56}{10} to lowest terms by extracting and canceling out 2.

$$\frac{57}{50}+\frac{28}{5}$$

Least common multiple of 50 and 5 is 50. Convert \frac{57}{50} and \frac{28}{5} to fractions with denominator 50.

$$\frac{57}{50}+\frac{280}{50}$$

Since \frac{57}{50} and \frac{280}{50} have the same denominator, add them by adding their numerators.

$$\frac{57+280}{50}$$

Add 57 and 280 to get 337.

$$\frac{337}{50}$$

Factor

$$\frac{337}{2 \cdot 5 ^ {2}} = 6\frac{37}{50} = 6.74$$