What is the sum of 3/4 and 5/4?

Prepare for the NWEA Math 5th Grade Test with engaging flashcards and multiple-choice questions, complete with hints and explanations. Get exam-ready now!

To find the sum of ( \frac{3}{4} ) and ( \frac{5}{4} ), you can simply add the two fractions, since they have the same denominator.

Start by adding the numerators:

[

3 + 5 = 8

]

Keep the common denominator, which is 4:

[

\frac{3}{4} + \frac{5}{4} = \frac{8}{4}

]

Now, ( \frac{8}{4} ) simplifies to 2, because when you divide 8 by 4, the result is 2. Thus, not only does ( \frac{8}{4} ) accurately represent the sum of ( \frac{3}{4} ) and ( \frac{5}{4} ), but it also can be interpreted in the context of whole numbers, showing that the total is exactly 2.

This reasoning confirms that the correct answer reflects both the proper addition of the fractions and the subsequent simplification to a whole number.

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