3/4 + 2/3 = _____. Express Your Answer In Simplest Form. *, 6/15, 7/12, 7/15, 1 5/12

3/4 + 2/3 = _____. Express your answer in simplest form. *

6/15
7/12
7/15
1 5/12

 

Answer:

How do you add fractions?

There are two cases regarding the denominators when we add ordinary fractions that are shown as follow in steps:

Adding fractions that have like denominators:

• Simply add the numerators of the fractions.

• The denominator of the resulting fraction will be the common denominator of the fractions.

• Reduce the resulting fraction.

For example: a/b + d/b = (a + d)/

or

7/17 + 9/17 = (7 + 9)/17

Adding fractions with different denominators:

• If the denominators don’t match, Multiply the denominators together.

• Adjust your numerators (top numbers) accordingly. E.g. if you doubled the denominator, then double its numerator.

• Add together the numerators, and put this total over the common denominator.

• Simplify the fraction to the smallest possible denominator, with the numerators also reduced proportionately.

Example: a/b + c/d = (ad + cb)/bd

For adding the fractions 1/3 and 1/5,

1/3 + 1/5 = (1*5 + 1*3)/3*5 = 5+3/15 = 8/15

The sum 8/15 is already in its simplest form.

Step-by-step explanation:

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