Question

Compare the Mixed Numbers. Convert the imroner fraction to mixed nu

Answer 1

`1(3)/(8)<2(3)/(8),2(2)/(8)=2(1)/(4),\text{ }2(5)/(8)>\text{ 2}(1)/(2),\text{ }1(5)/(8)<2(3)/(8),\text{ }1(2)/(4)>1(2)/(8),\text{ }2(7)/(8)>1(7)/(8)`

1) Comparing those Mixed numbers we can stat which is greater, lesser than, or equal by dividing the numerator by the denominator and adding to the whole number:

`\begin{gathered} 2(5)/(8)=(8\cdot2+5)/(8)=(21)/(8)=2.625 \\ 2(1)/(2)=(2\cdot2+1)/(2)=(5)/(2)=2.5 \\ 2(5)/(8)>\text{ 2}(1)/(2) \\ 2(2)/(8)=2(1)/(4)\text{ } \\ 1(3)/(8)<2(3)/(8) \\ 1(5)/(8)=(8\cdot1+5)/(8)=(13)/(8)=1.625 \\ 2(3)/(4)=2.75 \\ 1(5)/(8)<2(3)/(8) \\ \\ 1(2)/(4)=1(1)/(2)=1+0.5=1.5 \\ 1(2)/(8)=1(1)/(4)=1.25 \\ 1(2)/(4)>1(2)/(8) \\ \\ 2(7)/(8)>1(7)/(8) \end{gathered}`

So there are cases when the fraction is the same we just need to compare the whole number.

But in most cases, dividing the numerator by the denominator and writing it as a decimal number is really helpful

3) So the answers are:

`1(3)/(8)<2(3)/(8),2(2)/(8)=2(1)/(4),\text{ }2(5)/(8)>\text{ 2}(1)/(2),\text{ }1(5)/(8)<2(3)/(8),\text{ }1(2)/(4)>1(2)/(8),\text{ }2(7)/(8)>1(7)/(8)`