Less trouble in Maths and better grades!
Easy-to-read examples and step-by-step instructions
decode EVERYTHING about fractions.
Less trouble in Maths and better grades!
Easy-to-read examples and step-by-step instructions
decode EVERYTHING about fractions.
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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:
Nothing to do. The denominators are the same!
Step 1.2: Expand to the common denominator:
Nothing to do. The denominators are the same!
Step 1.3: Add the numerators:
Since the two fractions have a common denominator, you can add:
| 3 | + | 1 | = | 3 + 1 | = | 4 |
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| 5 | 5 | 5 | 5 |
Step 1.4: Check whether the result can be simplified
The result can not be simplified.
Step 1.5: Convert into a mixed number
The numerator is lower than the denominator - it's a proper fraction that cannot be converted to a mixed number.
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:
| 1 | 3 | + | 2 | 1 | = ? | 4 |
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| 5 | 5 | 5 |
Step 2.2: whole number part of the result
The whole numer part of the result is the sum of the original whole numbers:
1 + 2 = 3
The result is:
| 1 | 3 | + | 2 | 1 | = 3 | 4 |
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| 5 | 5 | 5 |