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convert mixed to improper fraction 3×1+2/3 and 5×2+4/4
5/3+14/5
LCM=5×3=15
5×5/3×5+14×3/5×3
25/15+43/15
=68/15
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Given:-
- 1 2/3 + 2 4/5
Solution with explanation:-
- First, convert proper fraction to improper fraction.
- 1 2/3 = 5/3 and 2 4/5 = 14/5
- To add 2 fractions their denominators should be same.
- Since, 3 and 5 are prime numbers and 1 as the common factor, Multiply 5 with the numerator and denominator of 5/3 and 3 with the numerator and denominator of 14/5.
- 5/3 x 5/5 = 25/15 and 14/5 x 3/3 = 42/15
- Add them.
- 25/15 + 42/15 = 67/15
- Convert it into mixed fraction and write the answer.
- 67/15 = 4 7/15.
Conclusion:-
- Therefore, 1 2/3 + 2 4/5 = 4 7/15.
Extra information:-
- In a general fraction, p/q p is called the numerator and q is called the denominator.
- Types of fractions:-
- Proper fraction:-
- Proper fraction is a fraction where denominator is greater than numerator.
- Form:- p/q but q > p.
- Improper fraction:-
- Improper fraction is a fraction where numerator is greater than denominator.
- Form:- p/q but p > q.
- Mixed fraction:-
- Form:- N p/q
- Improper fraction is written in the form of mixed fraction where N becomes a natural number and p/q becomes a proper fraction.
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