Solve 5/7>8/11>0.71

$$\frac { 5 } { 7 } > \frac { 8 } { 11 } > 0.71$$

Verify

Solution Steps

Least common multiple of 7 and 11 is 77. Convert \frac{5}{7} and \frac{8}{11} to fractions with denominator 77.

$$\frac{55}{77}>\frac{56}{77}\text{ and }\frac{8}{11}>0.71$$

Compare \frac{55}{77} and \frac{56}{77}.

$$\text{false}\text{ and }\frac{8}{11}>0.71$$

Convert decimal number 0.71 to fraction \frac{71}{100}.

$$\text{false}\text{ and }\frac{8}{11}>\frac{71}{100}$$

Least common multiple of 11 and 100 is 1100. Convert \frac{8}{11} and \frac{71}{100} to fractions with denominator 1100.

$$\text{false}\text{ and }\frac{800}{1100}>\frac{781}{1100}$$

Compare \frac{800}{1100} and \frac{781}{1100}.

$$\text{false}\text{ and }\text{true}$$

The conjunction of \text{false} and \text{true} is \text{false}.

$$\text{false}$$