Solve (1.111+3/10)+(1.7+8/9)

$$(1.111+ \frac{ 3 }{ 10 } )+(1.7+ \frac{ 8 }{ 9 } )$$

Evaluate

$$\frac{35999}{9000}\approx 3.999888889$$

Solution Steps

Convert decimal number 1.111 to fraction \frac{1111}{1000}.

$$\frac{1111}{1000}+\frac{3}{10}+1.7+\frac{8}{9}$$

Least common multiple of 1000 and 10 is 1000. Convert \frac{1111}{1000} and \frac{3}{10} to fractions with denominator 1000.

$$\frac{1111}{1000}+\frac{300}{1000}+1.7+\frac{8}{9}$$

Since \frac{1111}{1000} and \frac{300}{1000} have the same denominator, add them by adding their numerators.

$$\frac{1111+300}{1000}+1.7+\frac{8}{9}$$

Add 1111 and 300 to get 1411.

$$\frac{1411}{1000}+1.7+\frac{8}{9}$$

Convert decimal number 1.7 to fraction \frac{17}{10}.

$$\frac{1411}{1000}+\frac{17}{10}+\frac{8}{9}$$

Least common multiple of 1000 and 10 is 1000. Convert \frac{1411}{1000} and \frac{17}{10} to fractions with denominator 1000.

$$\frac{1411}{1000}+\frac{1700}{1000}+\frac{8}{9}$$

Since \frac{1411}{1000} and \frac{1700}{1000} have the same denominator, add them by adding their numerators.

$$\frac{1411+1700}{1000}+\frac{8}{9}$$

Add 1411 and 1700 to get 3111.

$$\frac{3111}{1000}+\frac{8}{9}$$

Least common multiple of 1000 and 9 is 9000. Convert \frac{3111}{1000} and \frac{8}{9} to fractions with denominator 9000.

$$\frac{27999}{9000}+\frac{8000}{9000}$$

Since \frac{27999}{9000} and \frac{8000}{9000} have the same denominator, add them by adding their numerators.

$$\frac{27999+8000}{9000}$$

Add 27999 and 8000 to get 35999.

$$\frac{35999}{9000}$$

Factor

$$\frac{35999}{2 ^ {3} \cdot 3 ^ {2} \cdot 5 ^ {3}} = 3\frac{8999}{9000} = 3.999888888888889$$