4 1/5 of 8 2/10 is what number? (A) 1/2 (B) 21/41 (C) 861/25 (D) 21/82

2 answers:

6 0

Answer:

Step-by-step explanation:

Change the mixed numbers to improper fractions

4 $\frac{1}{5}$ = $\frac{21}{5}$

8 $\frac{2}{10}$ = 8 $\frac{1}{5}$ = $\frac{41}{5}$

Replace ' of ' by multiplication

= $\frac{21}{5}$ × $\frac{41}{5}$

= $\frac{21(41)}{5(5)}$ = $\frac{861}{25}$ → C

4 0

Answer: i think it would be POSSIBLY C. or D.

Correction it is C

Step-by-step explanation:

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Evgesh-ka [11]

Answer:

22.5

Step-by-step explanation:

If you expand the series, you can see the first few terms of the series:

We can see the series is 0, 0.5, 1, 1.5, ....

This is an arithmetic series with common difference (the difference in 2 terms) 0.5 and first term 0.

We know formula for sum of arithmetic series:

$s_{n}=\frac{n}{2}(2a+(n-1)d)$

Where,

$S_{n}$ denotes the nth partial sum
$a$ is the first term (in our case it is 0)
$n$ is the term (in our case it is 10 since we want to find 10th partial sum -- sum until first 10 terms)
$d$ is the common difference (difference in term and the previous term) (in our case it is 0.5)