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## Math/Computer Tutoring by a Professional Defense Analyst

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# William's Responses in WyzAnt Answers

#### how do you convert fractions so they have like denominators? Write the answer in simplest form.

1 1/2 + 2 5/6

+ more- less
Asked by Diki from Phoenix, AZ
00

In this case, first convert each number to an improper fraction (where the numerator, the "top" number, will be greater than the denominator, the "bottom" number.). Then we will convert one or both of the fractions to have matching denominators. Then finally add the numerators.

Step 1: Convert 1 1/2 to an improper fraction

1 1/2 = 3/2

Step 2: Convert 2 5/6 to an improper fraction

2 5/6 = 17/6

Step 3: Convert one of the improper fractions to have matching denominators.

So lets convert 3/2 into something that matches 17/6.

Multiply the top and bottom of 3/2 by 3 and we get 9/6. (Since we want to match the denominator of 17/6). Think about this: 3/2 = 9/6 = (3*3) / (2*3)

Step 4:

Finally, adding 9/6 + 17/6 = 26/6 (add the numerators, since they have the same denominator)

Step 5: (optional)

Simply the fraction 26/6 to its simplest form, which is 13/3. (divide top and bottom by 2).

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