How to Add Mixed Fractions by Separating Whole Number and the Fractional Part | Case-04 | MathOGuide 

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To add mixed fractions by separating the whole number and the fractional parts, follow these steps:
1. *Separate the whole numbers and the fractional parts:*
- For example,
if you have 2 whole fraction 3/4
and 1 whole fraction 2/5, separate them into:
- Whole numbers: 2 and 1
- Fractions: fraction 3/4 and fraction 2/5.
2. *Add the whole numbers:*
- Add 2 and 1 to get 3.
3. *Find a common denominator for the fractions:*
- The denominators are 4 and 5. The least common denominator (LCD) is 20.
4. *Convert the fractions to have the common denominator:*
fraction 3/4 = {3 times 5}/{4 times 5}
= fraction 15/20
fraction 2/5 = fraction {2 times 4}/{5 times 4} = fraction 8/20
5. *Add the fractions:*
fraction 15/20 + fraction 8/20
= fraction 23/20
6. *Simplify the result if necessary:*
fraction 23/20 is an improper fraction. Convert it to a mixed number:
frac 23/20= 1 whole 3/20
7. *Combine the whole number part and the fractional part:*
- Add the whole number from step 2 and the whole number from the improper fraction:
- 3 (whole number from step 2) + 1 (whole number from improper fraction) = 4
Combine with the remaining fraction:
4 whole 3/20
So, 2 whole 3/4 + 1 while 2/5
= 4 whole 3/20
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