The Common Denominator is the bottom part of a fraction which has been matched to 2 or more fractions. For example 1/2 + 1/4 is easier if you use 2/4 + 1/4 = 3/4. You can also use it for 3/5 + 1 2/3 Becomes 3/5 + 5/3 (Improper fraction) and you change that to 9/15 + 25/15 = 34/15 = 2 4/15
Step-by-step explanation:
∑(-⅗)ⁿ is a geometric series, with a₁ = 1 and r = -⅗.
Use the nth term test for ∑n².
3/4 of 6/7. The of means multiplication.
= 3/4 * 6/7. 2 into 4 is 2 and 2 into 6 is 3.
= 3/2 * 3/7 No other number can divide, so we multiply out.
=9/14
That's the answer.
You'll have to do the actual multiplication here:
3(n+2)(4n+1) 1 4n^2 + n + 8n + 2
-------------------- = ----- * ---------------------------
6 2 1
or (1/2) (4n^2 + 9n + 2), which, after mult., becomes
(1/2)(4n^2) + (1/2)(9n) + 1
This simplifies to 2n^2 + (9/2)n + 1
Therefore, write (1/2) in the first box and (1) in the second box.