Solve 96,7:10+0,045*5+140,4*12+1,53:15

$$96,7 : 10 + 0,045 \cdot 5 + 140,4 \cdot 12 + 1,53 : 15$$

Evaluate

$$1694,797$$

Solution Steps

Expand \frac{96,7}{10} by multiplying both numerator and the denominator by 10.

$$\frac{967}{100}+0,045\times 5+140,4\times 12+\frac{1,53}{15}$$

Multiply 0,045 and 5 to get 0,225.

$$\frac{967}{100}+0,225+140,4\times 12+\frac{1,53}{15}$$

Convert decimal number 0,225 to fraction \frac{225}{1000}. Reduce the fraction \frac{225}{1000} to lowest terms by extracting and canceling out 25.

$$\frac{967}{100}+\frac{9}{40}+140,4\times 12+\frac{1,53}{15}$$

Least common multiple of 100 and 40 is 200. Convert \frac{967}{100} and \frac{9}{40} to fractions with denominator 200.

$$\frac{1934}{200}+\frac{45}{200}+140,4\times 12+\frac{1,53}{15}$$

Since \frac{1934}{200} and \frac{45}{200} have the same denominator, add them by adding their numerators.

$$\frac{1934+45}{200}+140,4\times 12+\frac{1,53}{15}$$

Add 1934 and 45 to get 1979.

$$\frac{1979}{200}+140,4\times 12+\frac{1,53}{15}$$

Multiply 140,4 and 12 to get 1684,8.

$$\frac{1979}{200}+1684,8+\frac{1,53}{15}$$

Convert decimal number 1684,8 to fraction \frac{16848}{10}. Reduce the fraction \frac{16848}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1979}{200}+\frac{8424}{5}+\frac{1,53}{15}$$

Least common multiple of 200 and 5 is 200. Convert \frac{1979}{200} and \frac{8424}{5} to fractions with denominator 200.

$$\frac{1979}{200}+\frac{336960}{200}+\frac{1,53}{15}$$

Since \frac{1979}{200} and \frac{336960}{200} have the same denominator, add them by adding their numerators.

$$\frac{1979+336960}{200}+\frac{1,53}{15}$$

Add 1979 and 336960 to get 338939.

$$\frac{338939}{200}+\frac{1,53}{15}$$

Expand \frac{1,53}{15} by multiplying both numerator and the denominator by 100.

$$\frac{338939}{200}+\frac{153}{1500}$$

Reduce the fraction \frac{153}{1500} to lowest terms by extracting and canceling out 3.

$$\frac{338939}{200}+\frac{51}{500}$$

Least common multiple of 200 and 500 is 1000. Convert \frac{338939}{200} and \frac{51}{500} to fractions with denominator 1000.

$$\frac{1694695}{1000}+\frac{102}{1000}$$

Since \frac{1694695}{1000} and \frac{102}{1000} have the same denominator, add them by adding their numerators.

$$\frac{1694695+102}{1000}$$

Add 1694695 and 102 to get 1694797.

$$\frac{1694797}{1000}$$

Factor

$$\frac{13 \cdot 130369}{2 ^ {3} \cdot 5 ^ {3}} = 1694\frac{797}{1000} = 1694.797$$