U + 4/5 = 2 and 1/3
Subtract 4/5 from each side of the equation:
U = (2 and 1/3) - (4/5)
Now it's just problem in plain old adding and subtracting fractions, just like the ones you've done many times before.
First let's change (2 and 1/3) to a fraction: 2 and 1/3 = 7/3
So you have to find the value of (7/3) - (4/5) .
In order to add or subtract fractions, they need to have a common denominator. The least common multiple of 3 and 5 is 15, so that's a good choice.
7/3 = 35/15 4/5 = 12/15
Now the problem is: (35/15) - (12/15).
That's 23/15 . . . . . the same thing as 1 and 8/15 .
That's the value of ' U '. What an ugly number !
u + 4 / 5 = 2 1 / 3 u + 4 / 5 = [ ( 2 X 3 ) + 1] / 3 u + 4 / 5 = 7 / 3 u =( 7 / 3 ) - ( 4 / 5 ) * = ( 35 -12 ) / 15*
*** = 23 / 15 Answer***
To find U, convert the mixed number to a fraction, subtract 5 4 from both sides, and perform the subtraction using a common denominator. The final answer is U = 15 23 or 1 15 8 . Great job working through the steps!
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