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3 years ago

If A = {2,4,6,8,10} and B = {4,8,10,12,14), find AUB.

Mathematics

1 answer:

Digiron [165]3 years ago

5 0

{2,6,12,14} ○○○○○○○○○

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4 years ago

What is 1 2/5 × 2 what is 1/4 × 1

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$1).$ $2\frac{4}{5}$

$2).$ $\frac{1}{4}$

Step-by-step explanation:

$1).$ $1\frac{2}{5}*2$

Convert mixed number to improper fraction: $a\frac{b}{c} =\frac{a*c+b}{c}$

$1\frac{x2}{5} =\frac{1*5+2}{5} =\frac{7}{5}$

$\frac{7}{5} *2$

Apply the fraction rule: $\frac{a}{b}*c =\frac{a*c}{b}$

$\frac{7}{5} *2=\frac{7*2}{5}$

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Multiply the numbers: $7*2=14$

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Convert improper fractions to mixed numbers: $\frac{14}{5}$

$\frac{14}{5}$

Write the problem in long division format:

$\begin{matrix}5\overline{|\smallspace14}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}$

Divide $14$ by $5$ to get $2$

Multiply the quotient digit $(2)$ by the divisor $5$

$\begin{matrix}\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace14}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace1\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}$

Subtract $10$ from $14$

The solution for long division of $\frac{14}{5}$ is $2$ with a remainder of $4$

$2\quad \mathrm{Remainder}\quad \:4$

Convert to mixed number: $Quotient\frac{Remainder}{Divisor}$

$\frac{14}{5} =2\frac{4}{5}$

$=2\frac{4}{5}$

$2\frac{4}{5}$

Convert $\frac{4}{5}$ to decimal using long division

$\frac{4}{5}$

Divide $4$ by $5$ to get $0$

Multiply the quotient digit $(0)$ by the divisor $5$

$\begin{matrix}\space\space\space\space\emptyspace0\space\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace4}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}$

Subtract $0$ from $4$

Add a decimal place and a zero to the dividend

Bring down the zero from the dividend

$\begin{matrix}\space\space\space\space\emptyspace0.\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace4.0}\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\emptyspace4\emptyspace0\space\space\space\space\space\space\space\space\space\space\end{matrix}$