How do you find a fraction between #1/2 and 4/5?#

Question

Noah Archer · Accepted Answer

There are many more than one fraction in the middle

There are an infinite number of fractions in between #1/2# and #4/5#. We'll find first the middle point between these two, and then we'll show that you can find as many as you like in between #1/2# and #4/5#. The middle point between #a# and #b# is #(a+b)/2#. So the middle point between #1/2# and #4/5# is #(1/2+4/5)/2= ((5+8)/10)/2=13/20# But you can do the same now and find the middle point between #1/2# and #13/20#, and also the middle point between #13/20# and #4/5#, and so on. You can find as many points as you want between #1/2# and #4/5#

Roman Alvarez · Answer

There are infinitely many - change to a common denominator for comparison.

Before you can do any comparison between fractions, change them to the same denominator. #1/2 < ? < 4/5# There are infinitely many fractions between these two fractions. #5/10 < color(blue)(?) < 8/10# Now we can see that a fraction between these can be #color(blue)(6/10" or " 7/10)# However, you can use any common denominator, not only the lowest. For example:#" "15/30 < color(red)(?) < 24/30# You could use #color(red)(16/30," "17/30," "18/30," "18/30," "19/30," "20/30," "21/30," "22/30," "23/30)# And so on ..... The fraction exactly halfway would be: #((6+7)/2)/10 = 6.5/10 = 13/20#

Skylar Adams · Answer

undefined To find a fraction between 1/2 and 4/5, you can follow these steps:

1. Find a common denominator for the two fractions. In this case, the least common denominator (LCD) for 2 and 5 is 10.

2. Rewrite both fractions with the common denominator. So, 1/2 becomes 5/10, and 4/5 remains 4/5.

3. Now, look for a fraction between 5/10 and 4/5. Since the numerators are already different, you can take the average of the two numerators to find a fraction between them.

4. Add the numerators together: 5 + 4 = 9.

5. Divide the sum by 2: 9 ÷ 2 = 4.5.

6. So, a fraction between 1/2 and 4/5 is 9/10.

Levi Adams · Answer

undefined To find a fraction between 1/2 and 4/5, you can calculate the average of the two fractions.

Average = (1/2 + 4/5) / 2

Convert the fractions to have a common denominator:

1/2 = 5/10
4/5 = 8/10

Now, calculate the average:

Average = (5/10 + 8/10) / 2
        = (13/10) / 2
        = 13/20

So, 13/20 is a fraction between 1/2 and 4/5.