2 1/2 = 2 + 1/2
4 2/3 = 4 + 2/3
2 1/2 + 4 1/3
= 2 + 1/2 + 4 + 2/3
= 2 + 4 + 1/2 + 2/3
= 6 + 3/6 + 4/6 [Put 1/2 and 2/3 over a common denominator (6)]
= 6 + 7/6
= 6 + 1 + 1/6 [7/6 = 6/6 + 1/6 = 1 + 1/6]
= 7 + 1/6
= 7 1/6
Philip P.
tutor
To add or subtract fractions, you need to put them over a common denominator. That means converting them into equivalent fractions. The common denominator for 1/2 and 2/3 is 6, so I need to convert 1/2 to an equivalent fraction over 6 and 2/3 into an equivalent fraction over 6. To convert 2/3 to an equivalent fraction over 6, I multiply it by 2/2. Remember that 2/2=1, so I'm not changing the value of the fraction:
(2/3)(2/2) = 4/6 and (1/2)(3/3) = 3/6
Now I can add them:
4/6 + 3/6 = 7/6 = 1 1/6
Report
05/08/18
Jason B.
05/08/18