Final answer:
To find 5/6 divided by 9/10 as a fraction, you multiply 5/6 by the reciprocal of 9/10, which is 10/9. After multiplying the numerators and denominators, you get 50/54, which simplifies to 25/27.
Step-by-step explanation:
The question asks for the division of two fractions: 5/6 divided by 9/10. To answer this, we can remember that dividing by a fraction is the same as multiplying by its reciprocal. Hence, to divide 5/6 by 9/10, we multiply 5/6 by the reciprocal of 9/10 which is 10/9. Step by step, we do the following:
- Write down the first fraction: 5/6.
- Multiply by the reciprocal of the second fraction: 5/6 × 10/9.
- Multiply the numerators (top numbers): 5 × 10 equals 50.
- Multiply the denominators (bottom numbers): 6 × 9 equals 54.
- Write the result as a fraction: 50/54 which can be simplified.
- To simplify, find the greatest common factor of 50 and 54, which is 2. Divide both the numerator and denominator by 2:
- 50 ÷ 2 = 25 and 54 ÷ 2 = 27.
- So the simplified answer is: 25/27.