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3 years ago

What is the quotient of 4 2/3 divided by 4 1/5 :fraction

2 answers:

8 0

Write the two fractions as improper fractions
4 2/3 is 14/3
<span>4 1/5</span> is 21/5
rewrite
14/3 <span>÷ 21/5
since it is pretty complicated to divide two fractions,
you change it to multiplication
keep the first fraction, change the division sign to multiplication, then flip the second fraction
(you can remember KEEP, CHANGE, FLIP whenever dealing with division of fractions :) )
14/3 * 5/21
multiply across
(14 * 5) / ( 3 * 21)
</span>70/ 63
simplify to 10/9
this can be written as 1 1/9

Hope this helps

pochemuha3 years ago

3 0

Answer:

1 1/9

Step-by-step explanation:

Write the two fractions as improper fractions

4 2/3 is 14/3

4 1/5 is 21/5

rewrite

14/3 ÷ 21/5

since it is pretty complicated to divide two fractions,

you change it to multiplication

keep the first fraction, change the division sign to multiplication, then flip the second fraction

(you can remember KEEP, CHANGE, FLIP whenever dealing with division of fractions :) )

14/3 * 5/21

multiply across

(14 * 5) / ( 3 * 21)

70/ 63

simplify to 10/9

this can be written as 1 1/9

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SOLUTION

From the given value

Since

$\sin u=\frac{7}{25}$

Then using trigonometrical ratios it follows

$\cos u=\frac{24}{25}$

Using hal -ngle it folows

$\begin{gathered} sin(\frac{u}{2})=\sqrt{\frac{1-\frac{24}{25}}{2}} \\ s\imaginaryI n(\frac{u}{2})=\sqrt{\frac{1}{50}} \end{gathered}$

Also

$\begin{gathered} cos(\frac{u}{2})=\pm\sqrt{\frac{1+\frac{24}{25}}{2}} \\ cos(\frac{u}{2})=\sqrt{\frac{49}{50}} \\ cos(\frac{u}{2})=7\sqrt{\frac{1}{50}} \end{gathered}$

Finally?

$\begin{gathered} \tan(\frac{u}{2})=\pm\sqrt{\frac{1-\frac{24}{25}}{1+\frac{24}{25}}} \\ \tan(\frac{u}{2})=\sqrt{\frac{1}{49}} \\ \tan(\frac{u}{2})=\frac{1}{7} \end{gathered}$

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Eddi Din [679]

Answer:

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