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Ulleksa [173]
3 years ago
12

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

Mathematics
2 answers:
Ostrovityanka [42]3 years ago
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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A sector of a circle makes a 127° angle at its centre. If the arc of the sector has length 36 mm, find
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Answer:

Approximately 68.5\; \rm mm.

Step-by-step explanation:

Convert the angle of this sector to radians:

\begin{aligned}\theta &= 127^{\circ} \\ &= 127^{\circ} \times \frac{2\pi}{360^{\circ}} \\ &\approx 2.22\end{aligned}.

The formula s = r\, \theta relates the arc length s of a sector of angle \theta (in radians) to the radius r of this sector.

In this question, it is given that the arc length of this sector is s = 36\; \rm mm. It was found that \theta = 2.22 radians. Rearrange the equation s = r\, \theta to find the radius r of this sector:

\begin{aligned} r&= \frac{s}{\theta} \\ &\approx \frac{36\; \rm mm}{2.22} \\ &\approx 16.2\; \rm mm\end{aligned}.

The perimeter of this sector would be:

\begin{aligned}& 2\, r + s \\ =\; & 2 \times 16.2\; {\rm mm} + 36\; {\rm mm} \\ =\; & 68.5\; \rm mm\end{aligned}.

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Answer:

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