5 4
______ - ______
2(e-f) 3(f-e)
Please include workings thx
5/2(e-f) - 4/3(f-e)
sorry wrong answer
5/2(e-f) - 4/3(f-e) = 5/2(e-f) + 4/3(e-f)
= 1/(e-f)(5/2 + 4/3) = 23/6(e-f)
To simplify the expression, let's start by expanding the denominator and then simplifying the expression.
1. Expand the denominator:
2(e - f) = 2e - 2f
3(f - e) = 3f - 3e
2. Rewrite the expression:
5/(2(e - f)) - 4/(3(f - e))
3. Find a common denominator for both fractions:
The least common multiple (LCM) of 2 and 3 is 6.
So, we need to multiply the first fraction by (3/3) and the second fraction by (2/2) to achieve a common denominator of 6.
Rewrite the expression as:
(5 * 3)/(6(e - f)) - (4 * 2)/(6(f - e))
4. Multiply and simplify:
(15)/(6(e - f)) - (8)/(6(f - e))
5. Combine the fractions:
To combine fractions, we need a common denominator. In this case, the common denominator is 6.
Rewrite the expression as:
(15 - 8)/(6(e - f))
6. Simplify:
Subtract the numerators:
(15 - 8) = 7
The simplified expression is:
7/(6(e - f))
So, the final simplified expression is 7/(6(e - f)).