Answer:4/5
Step-by-step explanation:
To divide fractions, we can use the reciprocal of the second fraction and then multiply the two fractions together. Let's divide 3/5 by 3/4 step by step:
1. Take the reciprocal of the second fraction:
Reciprocal of 3/4 = 4/3
2. Multiply the first fraction by the reciprocal of the second fraction:
(3/5) * (4/3) = (3 * 4) / (5 * 3) = 12/15
3. Simplify the fraction:
12/15 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 3.
12 ÷ 3 = 4, and 15 ÷ 3 = 5.
Therefore, the simplified form of 12/15 is 4/5.
So, 3/5 divided by 3/4 is equal to 4/5 in simplest form.
Therefore, the correct answer is:
4/5
Step-by-step explanation:
By taking the reciprocal of the second fraction and multiplying it with the first fraction, we obtained 12/15. Simplifying this fraction by dividing the numerator and denominator by their greatest common divisor, we found that the simplest form of 12/15 is 4/5. Therefore, the correct answer is 4/5.