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3 years ago

15

How do you subtract mixed numbers

1 answer:

saveliy_v [14]3 years ago

4 0

Each mixed number has to be converted to an improper fraction first. Then convert to common denominators.

= 8 5/6 - 2 4/9
convert to improper fractions

= 53/6 - 22/9
find common denominators; both denominators go into 18

= 159/18 - 44/18
subtract numerators

= 115/18
convert back to mixed number

= 6 7/18

ANSWER: 6 7/18

Hops this helps! :)

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What is the nth term?

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Let $a_k$ denote the <em>k</em>th term of the sequence. Then

$a_k=a_1+d(k-1)$

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The sum of the first <em>n</em> terms is

$S_n=\displaystyle\sum_{k=1}^na_k=a_1+a_2+\cdots+a_{n-1}+a_n$

From the formula for $a_k$ , we get

$S_n=\displaystyle\sum_{k=1}^n(a_1+d(k-1))=a_1\sum_{k=1}^n1+d\sum_{k=1}^n(k-1)$

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