Which of the following is a rational number between 5 and 5 1/4? Simpliest form
One rational number between 5 and 5 1/4 in simplest form would be 5 1/8.
To find a rational number between 5 and 5 1/4 in simplest form, we can first convert the mixed number 5 1/4 to an improper fraction.
To do this, we multiply the whole number (5) by the denominator of the fraction (4), and then add the numerator (1).
5 × 4 = 20
20 + 1 = 21
So, 5 1/4 can be written as the improper fraction 21/4.
Next, we need to find a rational number between 5 and 21/4. One way to do this is to take the average of 5 and 21/4.
To find the average, add the two numbers together and divide by 2.
5 + 21/4 = (20/4) + 21/4 = 41/4
Finally, simplify the resulting fraction, if necessary. In this case, 41/4 is already in its simplest form.
Therefore, the rational number between 5 and 5 1/4 in simplest form is 41/4.