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1 2 /3 + 2 1 / 2 = 5/3 + 5/ 2 = 10/6 +15/6 = 25/6 = 4 1 /6

ok, so heres how you do it: 1 / 2 + 5/8 = 4/8 + 5/8 = 9/8 OR 1 1 /8 in order to add fractions together, the two denominators need to be the same. in the second step...

...negative exponent is always the reciprocal of what its base. And a fractional exponent is some root of the base, and a 1 / 2 exponent is the same as taking a square root. So x^(- 1 / 2 ...

3/4 - 1 / 2 change the second term to 4ths ( 2 /4 = 1 / 2 ) 3/4 - 2 /4 = 1 /4 to divide anything... the same tricks again: 21 3/8 = (21*83 + 3) / 8 = 171 / 8 4 1 / 2 = (4* 2 + 1 ) / 2 = 9 / 2 = 36 / 4 21 3/8 + 4 1 / 2 = 171 / 8 + 36 / 8 = 207 / 8 = 25...

...: (I flipped the equation. There is no more fraction ) {( 1 /4n) - ( 1 / 2 )} * {(5n) - (20n)} NOW, LET'S COMBINE LIKE...

multiplying fractions : 3- 1 / 2 * 4-7/8 Convert the...by 39/5 23/10 * 5/39 23/ 2 * 1 /39 Cancelling ... cannot reduce this fraction because 78 isn t divisible by 23...

...can express: (5x - 1 ) / [(x - 2 )(x + 1 )] as the sum of two fractions , one with a denominator of... then the partial fraction decomposition looks like: [3 / (x - 2 )] + [ 2 / (x + 1 )]. We check ...

... 2 ) = A/(x + 1 ) + B/(x - 2 ) Multiply through by (x + 1 )(x - 2 ) to clear fractions . 1 = A(x - 2 ) + B(x + 1 ) Simplify right-hand side. 1 = ...