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decode EVERYTHING about fractions.
Add the mixed numbers.
If you would like to have a vivid explanation with a detailed example, please read the page Addition Fraction plus Fraction - Pizza Roma with lots of cheese, please!
Step 1 (supplementary calculation): Addthe two fractions
As a first step only add the two fractions in a supplementary calculation. We deal with the whole-number parts later in the second step:
Step 1.1: Determine the common denominator:
The common denominator is equal to the lowest common multiple (LCM) of the two denominators: 16 is a multiple of 8. Therefore the common denominator is 16
Step 1.2: Expand to the common denominator:
Expand the first fraction with the number 2
|5||+||11||=||5 × 2||+||11||=||10||+||11|
|8||16||8 × 2||16||16||16|
Step 1.3: Add the numerators:
Since the two fractions have a common denominator, you can add:
|10||+||11||=||10 + 11||=||21|
Step 1.4: Check whether the result can be simplified
The result can not be simplified.
Step 1.5: Convert into a mixed number
Divide the numerator by the denominator. The result is the whole number, the remainder is the numerator of the mixed number. The denominator remains unchanged:
21 ÷ 16 = 1 Remainder 5
Whole Number: 1
Numerator: 5Denominator: 16
Step 2: Calculate the result
Step 2.1: fraction part of the result
The fraction part was calculated in step 1. It can be transferred directly to the result:
Step 2.2: whole number part of the result
The whole numer part of the result is the sum of the original whole numbers plus the whole number from step 1.5:
3 + 2 + 1 = 6
The result is:
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