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

Prepare for the NWEA 5th Grade Math Test. Study using interactive quizzes with multiple choice questions, each providing hints and explanations. Ace your exam with confidence!

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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