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crimeas [40]
2 years ago
5

-1/2 divided by 1 3/4 as a fraction in simplest form

Mathematics
1 answer:
Helen [10]2 years ago
8 0

\Large\textsf{\textbf{Answer\;:}}}

\large\textsf{refer\:to\:the\:"calculations"\:section\:of\:this\:ans}

\Large\textsf{\textbf{Calculations\::}}

-\displaystyle\frac{1}{2} :1\frac{3}{4}

First , convert the mixed number (the fraction we are dividing by in the given maths problem) into an improper fraction .

Multiply the whole part (1) times the denominator (4) and add the numerator . The result is the numerator of our fraction , and the denominator stays the same .

So now our maths problem looks as follows :

-\displaystyle\frac{1}{2} :\frac{7}{4}

Now turn the fraction you are dividing by over :

-\displaystyle\frac{1}{2} *\frac{4}{7}

Now multiply the numerator of the first fraction times the numerator of the second fraction :

4

Perform the same operation with the denominators :

-4/14

So the result is :

-\displaystyle\frac{4}{14}

Since the above fraction is not in it's simplest form , we divide the top and bottom by 2 (a common factor of both 4 and 14) :

-\displaystyle\frac{2}{7}

\footnotesize\textsf{hope\:helpful~}

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Find the difference between8/15 and 2/3 Show all calculations in your final answer.
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Answer:

  • \frac{8}{15}-\left(\frac{-2}{3}\right)=\frac{6}{5}          

Step-by-step explanation:

  • Let the value of a number 'a' be = 8/15
  • Let the value of a number 'b' be = 2/3

The difference between the two numbers can be calculated by subtracting the numbers

a-b=\frac{8}{15}-\left(\frac{-2}{3}\right)

\mathrm{Remove\:parentheses}:\quad \left(a\right)=a

         =\frac{8}{15}-\frac{-2}{3}

\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}

          =\frac{8}{15}-\left(-\frac{2}{3}\right)

\mathrm{Apply\:rule}\:-\left(-a\right)=a

          =\frac{8}{15}+\frac{2}{3}

\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}

          =\frac{8+10}{15}

          =\frac{18}{15}

\mathrm{Cancel\:the\:common\:factor:}\:3

           =\frac{6}{5}

Thus,

  • \frac{8}{15}-\left(\frac{-2}{3}\right)=\frac{6}{5}                    
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Answer:

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Step-by-step explanation:

It all equals 180.

So,

53+44+?=180

180-53-44=83! :)

83+53+44=180! :)

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