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Popular Pre Algebra >

simplify 2/3+1/2

  • Pre Algebra
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Solution

simplify 32​+21​

Solution

67​
+1
Decimal
1.16666…
Solution steps
32​+21​
Least Common Multiplier of 3,2:6
3,2
Least Common Multiplier (LCM)
Prime factorization of 3:3
3
3 is a prime number, therefore no factorization is possible=3
Prime factorization of 2:2
2
2 is a prime number, therefore no factorization is possible=2
Multiply each factor the greatest number of times it occurs in either 3 or 2=3⋅2
Multiply the numbers: 3⋅2=6=6
Adjust Fractions based on the LCM
Multiply each numerator by the same amount needed to multiply its
corresponding denominator to turn it into the LCM 6
For 32​:multiply the denominator and numerator by 232​=3⋅22⋅2​=64​
For 21​:multiply the denominator and numerator by 321​=2⋅31⋅3​=63​
=64​+63​
Apply the fraction rule: ca​+cb​=ca+b​=64+3​
Add the numbers: 4+3=7=67​

Popular Examples

15-1/2 (2)2^3-3^32/5*(3/4*2)5^2-55^2-1

Frequently Asked Questions (FAQ)

  • What is 2/3+1/2 ?

    The solution to 2/3+1/2 is 7/6

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