How do I calculate n in this equation 39=1/pi x 11 x n? (I really need to learn math over again, some lessons. I totally forgot most and am a bit ashamed actually.)

Answer 1

There is no need to feel ashamed. You are asking for help and making a valiant effort to understand a concept. Plus, you took the initiative to utilize valuable resource available to you. All of those are impressive steps

1. 39 = 1/π * 11 *n
2. We can simplify the right hand side by multiplying 1/π * 11/1. When multiplying fractions, multiply numerator * numerator and divide it by denominator * denominator
3. Numerator * Numerator = 1 * 11= 11
4. Denominator * Denominator = π * 1 = π
5. Therefore we have 11/π
6. 39 = 11/π * n
7. We want to isolate n. To move the 11/π we need to carry out the opposite operation on sides.
8. 39 / (11/π) = (11/π * n) / (11/π)
9. Anything divided by itself is 1, so the (11/π * n) / (11/π) simplifies to 1*n or just n.
10. 39 / (11/π) = n
11. Since we don't like to leave fractions divided by fractions, some math manipulation will give us our final answer.
12. 39 / (11/π) = 39 * π/11 as dividing a fraction by a fraction is the same as multiplying the fraction's numerator times the reciprocal of the fraction's denominator.
13. Therefore n = (39π) / 11

I hope this helps. Please let me know if you have any more questions! - Rachel