Which of the following is a rational number between 5 and 5 1/4?
√26
5 1/7
5 1/3
5 2/5
no!
since 1/3 > 1/4, you cannot say that 5 1/3 < 5 1/4
Clearly, the answer is 5 1/7
Apologies for the confusion. You are correct, the rational number between 5 and 5 1/4 is 5 1/7. Thank you for pointing out the mistake.
To find a rational number between 5 and 5 1/4, we need to look for a fraction that lies between these two numbers.
5 = 5/1
5 1/4 = 21/4
To find a fraction between these two, we can add the numerators and denominators and divide by 2.
5/1 + 21/4 = 20/4 + 21/4 = 41/4
Now we can simplify this fraction.
41/4 = 10 1/4
So, the rational number between 5 and 5 1/4 is 10 1/4.