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Which fraction is greater than 1/2 and less than 3/4 ?


Which fraction is greater than 1/2 and less than 3/4 ? ​-example-1
User J Set
by
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1 Answer

1 vote

Answer:

a.
(2)/(3)

Explanation:

The fraction,
(2)/(3) is greater than
(1)/(2) and less than
(3)/(4).

How do we know this? See below how the fractions are compared together.

First, compare
(2)/(3) and
(1)/(2).

Find a common denominator for both fractions:

Common denominator of 2 and 3 would be 6. Therefore, multiply as follows:


(2 * 2)/(3 * 2) = (4)/(6) and


(1 * 3)/(2 * 3) = (3)/(6).

Compare the numerators. Which one is greater?

Form the calculation above:


(2)/(3) = (4)/(6) has a numerator of 4.

.


(1)/(2) = (3)/(6) has a numerator of 3.

Since 4 is greater than 3, therefore, the fraction,
(2)/(3) is greater than
(1)/(2).

✍️Compare
(2)/(3) and
(3)/(4).

Find a common denominator for both fractions


(2 * 4)/(3 * 4) = (8)/(12) and


(3 * 3)/(4 * 3) = (9)/(12)

Comparing their numerator, 8 is less than 9, therefore:


(2)/(3) is less than
(3)/(4).

✔️We can conclude that:


(2)/(3) is greater than
(1)/(2), and less than
(3)/(4).

User Quickdraw Mcgraw
by
5.7k points