How do i find a fraction between each pair of fractions ex. 1/8 and 1/4
You can take the average, namely
[(1+2)/8]2 = 3/16
If you want just ANY fraction between, you can add the numberators and denominators:
(1+1)/(8+4)=2/12 = 1/6
To find a fraction between two given fractions, you can follow these steps:
Step 1: Determine the denominator:
- Find a common denominator for the given fractions. In this case, the denominator for 1/8 and 1/4 is 8 since it is the smallest common multiple of 8 and 4.
Step 2: Divide the interval:
- Divide the interval between the given fractions into equal parts. In this case, we have 1/8 and 1/4, which means we have one whole interval to divide.
Step 3: Determine the numerator:
- To find a fraction between 1/8 and 1/4, divide the interval evenly by the desired number of fractions. Since we want to find one fraction, we divide the interval into two equal parts.
Step 4: Calculate the fraction:
- Calculate the numerator based on the divided interval. The numerator will correspond to the fraction between the two given fractions.
So, to find the fraction between 1/8 and 1/4, we divide the interval into two equal parts, resulting in (1/8 + 1/8) = 2/8 = 1/4.
Therefore, the fraction between 1/8 and 1/4 is 1/4.
To find a fraction between any two given fractions, you can follow these steps:
Step 1: Determine the denominator of the fraction you want to find. It should be between the denominators of the given fractions. In this case, the given fractions are 1/8 and 1/4. The denominators are 8 and 4. You can choose any denominator between 8 and 4, such as 6.
Step 2: Write down the fractions with the chosen denominator. In this case, the chosen denominator is 6.
1/8 can be written as 3/24 (multiply both the numerator and denominator by 3).
1/4 can be written as 6/24 (multiply both the numerator and denominator by 6).
Step 3: Since 3/24 < 6/24, the fraction you are looking for is between 1/8 and 1/4. You can choose any numerator between 3 and 6. For example, let's choose 4.
So the fraction between 1/8 and 1/4 with denominator 6 would be 4/24.
Remember, there can be infinitely many fractions between any two given fractions. You can choose different denominators and numerators to find various fractions.