Solve 31/3%*107+(68%*52)

$$3 \frac { 1 } { 3 } \% \times 107 + ( 68 \% \times 52 )$$

Evaluate

$$\frac{5839}{150}\approx 38.926666667$$

Solution Steps

Express \frac{\frac{3\times 3+1}{3}}{100} as a single fraction.

$$\frac{3\times 3+1}{3\times 100}\times 107+\frac{68}{100}\times 52$$

Multiply 3 and 3 to get 9.

$$\frac{9+1}{3\times 100}\times 107+\frac{68}{100}\times 52$$

Add 9 and 1 to get 10.

$$\frac{10}{3\times 100}\times 107+\frac{68}{100}\times 52$$

Multiply 3 and 100 to get 300.

$$\frac{10}{300}\times 107+\frac{68}{100}\times 52$$

Reduce the fraction \frac{10}{300} to lowest terms by extracting and canceling out 10.

$$\frac{1}{30}\times 107+\frac{68}{100}\times 52$$

Multiply \frac{1}{30} and 107 to get \frac{107}{30}.

$$\frac{107}{30}+\frac{68}{100}\times 52$$

Reduce the fraction \frac{68}{100} to lowest terms by extracting and canceling out 4.

$$\frac{107}{30}+\frac{17}{25}\times 52$$

Express \frac{17}{25}\times 52 as a single fraction.

$$\frac{107}{30}+\frac{17\times 52}{25}$$

Multiply 17 and 52 to get 884.

$$\frac{107}{30}+\frac{884}{25}$$

Least common multiple of 30 and 25 is 150. Convert \frac{107}{30} and \frac{884}{25} to fractions with denominator 150.

$$\frac{535}{150}+\frac{5304}{150}$$

Since \frac{535}{150} and \frac{5304}{150} have the same denominator, add them by adding their numerators.

$$\frac{535+5304}{150}$$

Add 535 and 5304 to get 5839.

$$\frac{5839}{150}$$

Factor

$$\frac{5839}{2 \cdot 3 \cdot 5 ^ {2}} = 38\frac{139}{150} = 38.92666666666667$$