What is 2/3 x 4 1/5 as a mixed fraction?

2 answers:

6 0

=2/3 x 4 1/5
Change 4 1/5 to improper fraction
=2/3 x 21/5

Multiply the two numerators together and multiply the two denominators together

= (2*21)/(3*5)
=42/15

Convert back to mixed fraction

= 2 12/15
Simplify by dividing 3 into top & bottom

ANSWER:
= 2 4/5 simplest mixed fraction

Hope this helps! :)

katen-ka-za [31]2 years ago

5 0

The answer is 2 4/5 hope this helps

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Vladimir [108]

Answer:

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Step-by-step explanation:

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6, 20, 40, 66, 98, 136, ...

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As the first differences are not the same, calculate the second differences:

$14 \underset{+6}{\longrightarrow} 20 \underset{+6}{\longrightarrow} 26 \underset{+6}{\longrightarrow} 32 \underset{+6}{\longrightarrow} 38$

As the second differences are the same, the sequence is quadratic and will contain an n² term.

The coefficient of the n² term is half of the second difference.

Therefore, the n² term is: 3n²

Compare 3n² with the given sequence:

$\begin{array}{|c|c|c|c|c|}\cline{1-5} n & 1 & 2 & 3 & 4\\\cline{1-5} 3n^2 & 3 & 12 & 27 & 48 \\\cline{1-5} \sf operation & +3&+8 & +13 & +18 \\\cline{1-5} \sf sequence & 6 & 20 & 40 & 66\\\cline{1-5}\end{array}$

The second operations are different, therefore calculate the differences between the second operations:

$3 \underset{+5}{\longrightarrow} 8 \underset{+5}{\longrightarrow} 13\underset{+5}{\longrightarrow} 18$

As the differences are the same, we need to add 5n as the second operation:

$\begin{array}{|c|c|c|c|c|}\cline{1-5} n & 1 & 2 & 3 & 4\\\cline{1-5} 3n^2 +5n & 8&22 & 42 & 68\\\cline{1-5}\sf operation & -2 &-2 &-2 & -2 \\\cline{1-5} \sf sequence & 6 & 20 & 40 & 66\\\cline{1-5}\end{array}$