Solve 11012/20/20+1520/1200

$$1 \frac { 10 \frac { 12 } { 20 } } { 20 } + 15 \frac { 20 } { 1200 }$$

Evaluate

$$\frac{1166}{75}\approx 15.546666667$$

Solution Steps

Express \frac{\frac{10\times 20+12}{20}}{20} as a single fraction.

$$1\times \frac{10\times 20+12}{20\times 20}+\frac{15\times 1200+20}{1200}$$

Multiply 10 and 20 to get 200.

$$1\times \frac{200+12}{20\times 20}+\frac{15\times 1200+20}{1200}$$

Add 200 and 12 to get 212.

$$1\times \frac{212}{20\times 20}+\frac{15\times 1200+20}{1200}$$

Multiply 20 and 20 to get 400.

$$1\times \frac{212}{400}+\frac{15\times 1200+20}{1200}$$

Reduce the fraction \frac{212}{400} to lowest terms by extracting and canceling out 4.

$$1\times \frac{53}{100}+\frac{15\times 1200+20}{1200}$$

Multiply 1 and \frac{53}{100} to get \frac{53}{100}.

$$\frac{53}{100}+\frac{15\times 1200+20}{1200}$$

Multiply 15 and 1200 to get 18000.

$$\frac{53}{100}+\frac{18000+20}{1200}$$

Add 18000 and 20 to get 18020.

$$\frac{53}{100}+\frac{18020}{1200}$$

Reduce the fraction \frac{18020}{1200} to lowest terms by extracting and canceling out 20.

$$\frac{53}{100}+\frac{901}{60}$$

Least common multiple of 100 and 60 is 300. Convert \frac{53}{100} and \frac{901}{60} to fractions with denominator 300.

$$\frac{159}{300}+\frac{4505}{300}$$

Since \frac{159}{300} and \frac{4505}{300} have the same denominator, add them by adding their numerators.

$$\frac{159+4505}{300}$$

Add 159 and 4505 to get 4664.

$$\frac{4664}{300}$$

Reduce the fraction \frac{4664}{300} to lowest terms by extracting and canceling out 4.

$$\frac{1166}{75}$$

Factor

$$\frac{2 \cdot 11 \cdot 53}{3 \cdot 5 ^ {2}} = 15\frac{41}{75} = 15.546666666666667$$