Solve 1<(2/100)+(1/470)+(1/47

$$1 < ( 2 / 100 ) + ( 1 / 470 ) + ( 1 / 47$$

Verify

Solution Steps

Reduce the fraction \frac{2}{100} to lowest terms by extracting and canceling out 2.

$$1<\frac{1}{50}+\frac{1}{470}+\frac{1}{47}$$

Least common multiple of 50 and 470 is 2350. Convert \frac{1}{50} and \frac{1}{470} to fractions with denominator 2350.

$$1<\frac{47}{2350}+\frac{5}{2350}+\frac{1}{47}$$

Since \frac{47}{2350} and \frac{5}{2350} have the same denominator, add them by adding their numerators.

$$1<\frac{47+5}{2350}+\frac{1}{47}$$

Add 47 and 5 to get 52.

$$1<\frac{52}{2350}+\frac{1}{47}$$

Reduce the fraction \frac{52}{2350} to lowest terms by extracting and canceling out 2.

$$1<\frac{26}{1175}+\frac{1}{47}$$

Least common multiple of 1175 and 47 is 1175. Convert \frac{26}{1175} and \frac{1}{47} to fractions with denominator 1175.

$$1<\frac{26}{1175}+\frac{25}{1175}$$

Since \frac{26}{1175} and \frac{25}{1175} have the same denominator, add them by adding their numerators.

$$1<\frac{26+25}{1175}$$

Add 26 and 25 to get 51.

$$1<\frac{51}{1175}$$

Convert 1 to fraction \frac{1175}{1175}.

$$\frac{1175}{1175}<\frac{51}{1175}$$

Compare \frac{1175}{1175} and \frac{51}{1175}.

$$\text{false}$$