Question

What is 5/6 divided by 9/10 as a fraction?
A) 5/9
B) 9/5
C) 1/2
D) 10/3

Answer 1

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. In this case, 5/6 divided by 9/10 is equal to 25/27.

This correct answer is none of the above.

Step-by-step explanation:

To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction.

The reciprocal of a fraction is obtained by swapping the numerator and the denominator. 5/6 divided by 9/10 is equal to (5/6) * (10/9) = 50/54.

However, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2. So, 50/54 = 25/27.

This correct answer is none of the above.

Answer 2

5/6 divided by 9/10 is accomplished by multiplying 5/6 by the reciprocal of 9/10, which is 10/9, resulting in the fraction 25/27 after simplification.

Step-by-step explanation:

To solve the fraction division problem, which is 5/6 divided by 9/10, we need to multiply the first fraction by the reciprocal of the second fraction. In other words, we change the division into multiplication:

• First, take the reciprocal of 9/10, which is 10/9.
• Next, multiply 5/6 by the reciprocal: (5/6) × (10/9).
• Perform the multiplication: (5 × 10) / (6 × 9) = 50/54.
• Simplify the resulting fraction by dividing both numerator and denominator by their greatest common factor, which is 2: 50/54 = (50/2) / (54/2) = 25/27.

So, 5/6 divided by 9/10 is 25/27, which is not one of the provided options (A) 5/9 (B) 9/5 (C) 1/2 (D) 10/3.