Solve 1/0.14+1/0.12=

$$\frac{ 1 }{ 0.14 } + \frac{ 1 }{ 0.12 } =$$

Evaluate

$$\frac{325}{21}\approx 15.476190476$$

Solution Steps

Expand \frac{1}{0.14} by multiplying both numerator and the denominator by 100.

$$\frac{100}{14}+\frac{1}{0.12}$$

Reduce the fraction \frac{100}{14} to lowest terms by extracting and canceling out 2.

$$\frac{50}{7}+\frac{1}{0.12}$$

Expand \frac{1}{0.12} by multiplying both numerator and the denominator by 100.

$$\frac{50}{7}+\frac{100}{12}$$

Reduce the fraction \frac{100}{12} to lowest terms by extracting and canceling out 4.

$$\frac{50}{7}+\frac{25}{3}$$

Least common multiple of 7 and 3 is 21. Convert \frac{50}{7} and \frac{25}{3} to fractions with denominator 21.

$$\frac{150}{21}+\frac{175}{21}$$

Since \frac{150}{21} and \frac{175}{21} have the same denominator, add them by adding their numerators.

$$\frac{150+175}{21}$$

Add 150 and 175 to get 325.

$$\frac{325}{21}$$

Factor

$$\frac{13 \cdot 5 ^ {2}}{3 \cdot 7} = 15\frac{10}{21} = 15.476190476190476$$