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How Do You Find a Rational Number Between Two Fractions?

Find a rational number between 4/7 and 1 1/4

Summary

  1. Calculate the average of 4/7 and 1 and 1/4
  2. 1 and 1/4 converts to 5/4
  3. The inside fractions need to have a common denominator, so multiply each one by a fancy form of 1
  4. 16/28 plus 35/28 is equal to 51/28
  5. 1/2 times 51/28 is equal to 51/56

Notes

    1. A rational number is a number that can be represented as a fraction of 'a' over 'b'
    2. To find the average of two numbers, add the numbers together and divide by two
    3. The average will be in between the two numbers
    1. Both fractions can be written in the form of 'a over b' so they are rational
    2. 4/7 is just 4 over 7
    3. 1 and 1/4 can be written as 5 over 4
    1. We have to add the two fractions and then divide by 2, or multiply by 1/2
    1. A mixed fraction is a mix of a whole number and a fraction
    2. An improper fraction is a fraction where the numerator is greater than the denominator
    1. To convert this mixed fraction to an improper fraction:
    2. Multiply the whole number, 1, by the denominator, 4
    3. Then add the numerator, 1, to that result
    4. 1 • 4 + 1 = 5, which is our new numerator
    5. We keep the same denominator of 4
    1. First we have to do what is in the parentheses, so add those fractions!
    1. The least common denominator is the least common multiple of the denominators of two or more fractions
    1. 28 is the smallest number that has both 7 and 4 as a factor
    2. LCD stands for Least Common Denominator
    1. First we have to do what is in the parentheses, so add those fractions!
    2. LCD stands for Least Common Denominator
    1. 4 over 7 is multiplied by 4 over 4 so that its denominator will become 28
    1. 5 over 4 is multiplied by 7 over 7 so that its denominator will become 28
    1. The order of operations says that we should start evaluating with what is inside the parentheses
    1. Add the numerators: 16+35=51
    2. 51 is the new numerator for the fraction inside the parentheses
    3. 28 is still the denominator
    1. Multiply 51 over 28 by one half
    1. Multiply the numerators: 1 • 51 = 51
    2. 51 is the final numerator
    1. Multiply the denominators: 2 • 28 = 56
    2. 56 is the final denominator