Rational number between 5 and 5 1/4
A rational number between 5 and 5 1/4 can be found by taking the average of these two numbers.
Starting with 5, we can convert 5 1/4 to a decimal.
5 1/4 = 5 + 1/4 = 5 + 0.25 = 5.25
Now, taking the average of 5 and 5.25:
(5 + 5.25) / 2 = 10.25 / 2 = 5.125
Therefore, a rational number between 5 and 5 1/4 is 5.125.
as a fraction
To find a rational number between 5 and 5 1/4, we can take the average of these two numbers.
Step 1: Convert 5 1/4 to an improper fraction:
5 1/4 = (5 * 4 + 1)/4 = 21/4
Step 2: Take the average of 5 and 21/4:
Average = (5 + 21/4)/2 = (20/4 + 21/4)/2 = 41/8 = 5 1/8
Therefore, 5 1/8 is a rational number between 5 and 5 1/4.
To find a rational number between 5 and 5 1/4, we can start by converting both numbers into fractions with a common denominator.
5 can be written as 5/1.
To convert 5 1/4 into a fraction, we multiply the whole number (5) by the denominator (4) and add the numerator (1). This gives us (5 * 4) + 1 = 20 + 1 = 21. Therefore, 5 1/4 can be written as 21/4.
Now that we have the fractions 5/1 and 21/4, we can find a rational number between them by taking the average.
To find the average, we add the two fractions and divide the sum by 2:
(5/1 + 21/4) / 2
To add the fractions, we need a common denominator. The least common multiple of 1 and 4 is 4, so we can rewrite the fractions with a common denominator:
(20/4 + 21/4) / 2
Adding the fractions gives us:
(41/4) / 2
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
41/4 * 1/2
Multiplying the numerators (41 * 1) and the denominators (4 * 2) gives us:
41/8
Therefore, the rational number between 5 and 5 1/4 is 41/8.