Simplifying compound fraction: \frac{3}{\sqrt{5}/5} I'm trying to simplify the following:

Trace Mcintyre

Trace Mcintyre

Answered question

2022-04-25

Simplifying compound fraction: 355
I'm trying to simplify the following: 3 55
I know it is a very simple question but I am stuck. I followed through some instructions on Wolfram which suggests that I multiply the numerator by the reciprocal of the denominator.
The problem is I interpreted that as:
3 55 ×55,
Which I believe is:
15 55 =151.
What am I doing wrong?

Answer & Explanation

tswe0uk

tswe0uk

Beginner2022-04-26Added 19 answers

355=355
=3551
=35555
=3555
=35
Giovanny Howe

Giovanny Howe

Beginner2022-04-27Added 18 answers

This means
3·55=3·(5)25=35
You're multiplying twice for the reciprocal of the denominator.
Another way to see it is multiplying numerator and denominator by the same number:
355=3555·5=351

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?