Solve 1.3*(6.7-5.2)div1.8+0.1

$$1.3 \times (6.7-5.2) \div 1.8+0.1$$

Evaluate

$$\frac{71}{60}\approx 1.183333333$$

Solution Steps

Subtract 5.2 from 6.7 to get 1.5.

$$\frac{1.3\times 1.5}{1.8}+0.1$$

Multiply 1.3 and 1.5 to get 1.95.

$$\frac{1.95}{1.8}+0.1$$

Expand \frac{1.95}{1.8} by multiplying both numerator and the denominator by 100.

$$\frac{195}{180}+0.1$$

Reduce the fraction \frac{195}{180} to lowest terms by extracting and canceling out 15.

$$\frac{13}{12}+0.1$$

Convert decimal number 0.1 to fraction \frac{1}{10}.

$$\frac{13}{12}+\frac{1}{10}$$

Least common multiple of 12 and 10 is 60. Convert \frac{13}{12} and \frac{1}{10} to fractions with denominator 60.

$$\frac{65}{60}+\frac{6}{60}$$

Since \frac{65}{60} and \frac{6}{60} have the same denominator, add them by adding their numerators.

$$\frac{65+6}{60}$$

Add 65 and 6 to get 71.

$$\frac{71}{60}$$

Factor

$$\frac{71}{3 \cdot 5 \cdot 2 ^ {2}} = 1\frac{11}{60} = 1.1833333333333333$$