How to calculate 3/4 plus 5/7 (What is 3/4 plus 5/7?)

How to calculate 3/4 plus 5/7

What is 3/4 plus 5/7? Here we will explain and show you how to calculate 3/4 plus 5/7.

Note that numbers below the divider line are called denominators and numbers above the divider line are called numerators.

To add two fractions together, you first make the denominators the same and then you add the numerators together.

We start by setting up 3/4 plus 5/7 like this so it is easier to read:

		3
		4

		5
		7

The denominators are 4 and 7. The least common multiple of 4 and 7 is 28. Therefore, you want to convert the fractions so they both have 28 as the denominator.

To do that, you multiply the first denominator by 7 to get 28 and the second denominator by 4 to get 28. You also have to multiply the numerators by the corresponding numbers to keep the fraction values intact:

		3 x 7
		4 x 7

		5 x 4
		7 x 4

Then you end up with 3/4 plus 5/7 converted so the fractions have a common denominator:

		21
		28

		20
		28

Now that the denominators are the same, you can add the fractions together to make them into one fraction like this:

		21 + 20
		28

		41
		28

That is it! Now you know how to calculate 3/4 plus 5/7. The answer is below (simplified if necessary):

1 13/28

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Extra credit:
You may also be interested to know that you can get 3/4 plus 5/7 in decimal form by taking the fraction answer and dividing the numerator by the denominator.

41 / 28 = 1.4643