Question
divide these fractions
5x-10/2x divided by 3x-6/2x+8
5x-10/2x divided by 3x-6/2x+8
Answers
GPT 3.5
To divide fractions, you follow these steps:
1. Flip the fraction that you are dividing by. For example, when dividing fraction a by fraction b, you calculate a * (1/b).
Therefore, in this case, we have:
(5x - 10) / (2x) ÷ (3x - 6) / (2x + 8)
= (5x - 10) / (2x) * (2x + 8) / (3x - 6)
Now, simplify:
= (5x - 10) * (2x + 8) / (2x) * (3x - 6)
= (5(x - 2) * 2(x + 4)) / 2(3(x - 2))
= 10(x - 2)(x + 4) / 6(x - 2)
= 5(x + 4) / 3
Therefore, the simplified form of (5x - 10) / (2x) ÷ (3x - 6) / (2x + 8) is 5(x + 4) / 3.
1. Flip the fraction that you are dividing by. For example, when dividing fraction a by fraction b, you calculate a * (1/b).
Therefore, in this case, we have:
(5x - 10) / (2x) ÷ (3x - 6) / (2x + 8)
= (5x - 10) / (2x) * (2x + 8) / (3x - 6)
Now, simplify:
= (5x - 10) * (2x + 8) / (2x) * (3x - 6)
= (5(x - 2) * 2(x + 4)) / 2(3(x - 2))
= 10(x - 2)(x + 4) / 6(x - 2)
= 5(x + 4) / 3
Therefore, the simplified form of (5x - 10) / (2x) ÷ (3x - 6) / (2x + 8) is 5(x + 4) / 3.