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Given that this is an exercise with only addition operation, we can change the order of the numbers.
We organize the exercise in a way that we can obtain a pair that gives us an integer.
Keep in mind that there is a pair of fractions that if we add them we will obtain an integer:
We solve the exercise from left to right:
Now we obtain the exercise:
We leave the 8 aside and add the rest of the exercise:
Now we obtain the exercise:
\( 74+32+6+4+4=\text{?} \)
Strategic grouping makes the problem much easier! When you pair , the fractions create a whole number, avoiding complex fraction arithmetic.
That's fine! Not all problems will have fractions that sum to 1. The key is still to group numbers with the same denominator first, then find a common denominator for any remaining different fractions.
Yes! This is the standard method for mixed numbers. Add all whole parts together, add all fractional parts together, then combine. If the fractional sum is improper, convert it to a mixed number and add to your whole number total.
Look for matching denominators in your problem! In this case, we have two fractions with denominator 3 and two with denominator 7, making strategic pairing possible.
Remember that addition is commutative - you can add in any order! Use this property to your advantage by rearranging terms to make calculations easier before you start adding.
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