# Algebra

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-9+3w/11 divided by 25w-75/121

Do I need a Common denominator?
Would it be 121 as 11x11 is 121?
Do I then multiply the numeratos- -9+3w by 11 or do I do the addition of -9+3w for-12w?

• Algebra -

No, in division and multiplication you do not need a common denominator.
Remember that when you divide by a fraction you instead multiply by the reciprocal of that fraction

so...
(-9+3w)/11 divided by (25w-75)/121
=(-9+3w)/11 * 121/(25w-75)
=3(-3+w)/11 * 121/(25(w-3))
=33/25 , with x not equal to 3

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