Solve 0.25+1.69div1.3-0.119

$$0.25+1.69 \div 1.3-0.119$$

Evaluate

$$1.431$$

Solution Steps

Expand \frac{1.69}{1.3} by multiplying both numerator and the denominator by 100.

$$0.25+\frac{169}{130}-0.119$$

Reduce the fraction \frac{169}{130} to lowest terms by extracting and canceling out 13.

$$0.25+\frac{13}{10}-0.119$$

Convert decimal number 0.25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\frac{1}{4}+\frac{13}{10}-0.119$$

Least common multiple of 4 and 10 is 20. Convert \frac{1}{4} and \frac{13}{10} to fractions with denominator 20.

$$\frac{5}{20}+\frac{26}{20}-0.119$$

Since \frac{5}{20} and \frac{26}{20} have the same denominator, add them by adding their numerators.

$$\frac{5+26}{20}-0.119$$

Add 5 and 26 to get 31.

$$\frac{31}{20}-0.119$$

Convert decimal number 0.119 to fraction \frac{119}{1000}.

$$\frac{31}{20}-\frac{119}{1000}$$

Least common multiple of 20 and 1000 is 1000. Convert \frac{31}{20} and \frac{119}{1000} to fractions with denominator 1000.

$$\frac{1550}{1000}-\frac{119}{1000}$$

Since \frac{1550}{1000} and \frac{119}{1000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1550-119}{1000}$$

Subtract 119 from 1550 to get 1431.

$$\frac{1431}{1000}$$

Factor

$$\frac{53 \cdot 3 ^ {3}}{2 ^ {3} \cdot 5 ^ {3}} = 1\frac{431}{1000} = 1.431$$