Solve 1/3.2+1/3+1/2.1div1

$$\frac{ 1 }{ 3.2 } + \frac{ 1 }{ 3 } + \frac{ 1 }{ 2.1 } \div 1$$

Evaluate

$$\frac{377}{336}\approx 1.12202381$$

Solution Steps

Expand \frac{1}{3.2} by multiplying both numerator and the denominator by 10.

$$\frac{10}{32}+\frac{1}{3}+\frac{\frac{1}{2.1}}{1}$$

Reduce the fraction \frac{10}{32} to lowest terms by extracting and canceling out 2.

$$\frac{5}{16}+\frac{1}{3}+\frac{\frac{1}{2.1}}{1}$$

Least common multiple of 16 and 3 is 48. Convert \frac{5}{16} and \frac{1}{3} to fractions with denominator 48.

$$\frac{15}{48}+\frac{16}{48}+\frac{\frac{1}{2.1}}{1}$$

Since \frac{15}{48} and \frac{16}{48} have the same denominator, add them by adding their numerators.

$$\frac{15+16}{48}+\frac{\frac{1}{2.1}}{1}$$

Add 15 and 16 to get 31.

$$\frac{31}{48}+\frac{\frac{1}{2.1}}{1}$$

Expand \frac{1}{2.1} by multiplying both numerator and the denominator by 10.

$$\frac{31}{48}+\frac{\frac{10}{21}}{1}$$

Anything divided by one gives itself.

$$\frac{31}{48}+\frac{10}{21}$$

Least common multiple of 48 and 21 is 336. Convert \frac{31}{48} and \frac{10}{21} to fractions with denominator 336.

$$\frac{217}{336}+\frac{160}{336}$$

Since \frac{217}{336} and \frac{160}{336} have the same denominator, add them by adding their numerators.

$$\frac{217+160}{336}$$

Add 217 and 160 to get 377.

$$\frac{377}{336}$$

Factor

$$\frac{13 \cdot 29}{3 \cdot 7 \cdot 2 ^ {4}} = 1\frac{41}{336} = 1.1220238095238095$$