3 5/6 + 2 4/9 in its simplest form
2 answers:
Answer:
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Step-by-step explanation:
1) Add the whole numbers first.
2) Find the Least Common Denominator (LCD) of . In other words, find the Least Common Multiple (LCM) of
.
Method 1: By Listing Multiples
1. List the multiples of each number.
Multiples of 6 : 6, 12, 18, ...
Multiples of 9 : 9, 18, ...
2. Find the smallest number that is shared by all rows above. This is the LCM.
LCM = 18
3. Make the denominators the same as the LCD.
4. Simplify. Denominators are now the same.
5. Join the denominators.
6. Simplify.
7. Convert to mixed fraction.
8. Simplify.
Decimal Form: 6.277778
Cheers.
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What is an integral test for convergence and divergence?
⇒ It is used to prove the divergence or convergence of series. This test is called the integral test, which compares an infinite sum to an improper integral. It is important to note that this test can only be applied when we are considering a series whose terms are all positive.
How to know if a series is converging or diverging?
If the limit exists and is a finite number (a number less than infinity), we say the integral converges. If the limit is ±∞ or does not exist, we say the integral diverges.
let aₓ= f (x) is any function
⇒ In order for the integral test to work The function must be positive it has to be continuous and it has to be decreasing when x≥1
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If the integral diverges it means the series is also diverging
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So it comes with a finite value hence the series converges
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