3 divided 5/6= _________3/5

Answer 1

To solve \( \frac{3}{\frac{5}{6}} \) and check if it equals \( \frac{3}{5} \), we can follow these steps:

1. Dividing by a fraction is the same as multiplying by its reciprocal. Thus, we can rewrite the expression: \[ 3 \div \frac{5}{6} = 3 \times \frac{6}{5} \]

2. Now, multiply: \[ 3 \times \frac{6}{5} = \frac{3 \times 6}{5} = \frac{18}{5} \]

Now, we find \( \frac{18}{5} \) in terms of \( \frac{3}{5} \): \[ \frac{18}{5} \neq \frac{3}{5} \]

Instead, let's see if \( \frac{3}{\frac{5}{6}} \) simplifies to:

1. \( \frac{3}{\frac{5}{6}} = \frac{3}{1} \times \frac{6}{5} = \frac{18}{5} \)

So, \( 3 \div \frac{5}{6} = \frac{18}{5} \) and it does not equal \( \frac{3}{5} \).

Thus, the answer is: \[ \frac{18}{5} \text{ (not equal to } \frac{3}{5}) \]