Evaluate 3 2/5 + 2 2/3
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(A) 15 1/5
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(B) 5 16/15
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(C) 5 5/16
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(D) 6 1/15
To evaluate the sum of 325352 and 223232, you can follow these steps:
Convert the mixed numbers to improper fractions.
Find a common denominator.
Add the fractions together.
Add the whole numbers.
Let's break it down:
Step 1: Convert mixed numbers to improper fractions:
325352 as an improper fraction: 325=(3⋅5)+25=15+25=175352=5(3⋅5)+2=515+2=517
223232 as an improper fraction: 223=(2⋅3)+23=6+23=83232=3(2⋅3)+2=36+2=38
Step 2: Find a common denominator:
The common denominator for 5 and 3 is 15.
Step 3: Add the fractions together:
175+83517+38
Now, we need to find a common denominator, which is 15:
(17⋅3)(5⋅3)+(8⋅5)(3⋅5)(5⋅3)(17⋅3)+(3⋅5)(8⋅5)
=5115+4015=1551+1540
Step 4: Add the fractions with the common denominator:
5115+4015=51+4015=91151551+1540=1551+40=1591
Now, we have the sum of the two improper fractions as 91151591.
To simplify the fraction, you can find the greatest common divisor (GCD) of 91 and 15, which is 1. Divide both the numerator and denominator by 1:
9115=91÷115÷1=91151591=15÷191÷1=1591
So, the final result is 91151591, which can also be expressed as a mixed number:
9115=61151591=6151
Therefore, 325+223=6115352+232=6151 or 91151591.
