Solve (1.333+4/5)+(1.2+7/3)

$$(1.333+ \frac{ 4 }{ 5 } )+(1.2+ \frac{ 7 }{ 3 } )$$

Evaluate

$$\frac{16999}{3000}\approx 5.666333333$$

Solution Steps

Convert decimal number 1.333 to fraction \frac{1333}{1000}.

$$\frac{1333}{1000}+\frac{4}{5}+1.2+\frac{7}{3}$$

Least common multiple of 1000 and 5 is 1000. Convert \frac{1333}{1000} and \frac{4}{5} to fractions with denominator 1000.

$$\frac{1333}{1000}+\frac{800}{1000}+1.2+\frac{7}{3}$$

Since \frac{1333}{1000} and \frac{800}{1000} have the same denominator, add them by adding their numerators.

$$\frac{1333+800}{1000}+1.2+\frac{7}{3}$$

Add 1333 and 800 to get 2133.

$$\frac{2133}{1000}+1.2+\frac{7}{3}$$

Convert decimal number 1.2 to fraction \frac{12}{10}. Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2133}{1000}+\frac{6}{5}+\frac{7}{3}$$

Least common multiple of 1000 and 5 is 1000. Convert \frac{2133}{1000} and \frac{6}{5} to fractions with denominator 1000.

$$\frac{2133}{1000}+\frac{1200}{1000}+\frac{7}{3}$$

Since \frac{2133}{1000} and \frac{1200}{1000} have the same denominator, add them by adding their numerators.

$$\frac{2133+1200}{1000}+\frac{7}{3}$$

Add 2133 and 1200 to get 3333.

$$\frac{3333}{1000}+\frac{7}{3}$$

Least common multiple of 1000 and 3 is 3000. Convert \frac{3333}{1000} and \frac{7}{3} to fractions with denominator 3000.

$$\frac{9999}{3000}+\frac{7000}{3000}$$

Since \frac{9999}{3000} and \frac{7000}{3000} have the same denominator, add them by adding their numerators.

$$\frac{9999+7000}{3000}$$

Add 9999 and 7000 to get 16999.

$$\frac{16999}{3000}$$

Factor

$$\frac{89 \cdot 191}{3 \cdot 2 ^ {3} \cdot 5 ^ {3}} = 5\frac{1999}{3000} = 5.666333333333333$$