Mathematics: Find the value of this fraction 6 x 1/2 + 2/3 + 3/4

Find the value of this fraction 6 x 1/2 + 2/3 + 3/4

kaylynn77

09.01.2022

$\frac{53}{12} or 4 \frac{5}{12}$

Step-by-step explanation:

$\frac{6}{1} \times \frac{1}{2} = 3$

$\frac{3}{1} + \frac{2}{3} + \frac{3}{4} = ...$

Find the common denominator, which is 12

$\frac{36}{12} + \frac{8}{12} + \frac{9}{12} =$

Now add them

$\frac{36}{12} + \frac{8}{12} = \frac{44}{12} + \frac{9}{12} = \frac{53}{12}$

Simplified version is

$4 \frac{5}{12}$

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lilquongohard

24.05.2021

8.57°91.5 feet13.68 feet 625.93 ft²1723.86 feet

Step-by-step explanation:

1. The circle is divided by 42 equal sectors.

Each sector has angle of:

360°/42 = 8.57° (rounded)

2. The radius is half of the diameter:

r = d/2 = 183 /2 = 91.5 feet

3. The length of the circle is:

C = 2πr = 2*3.14*91.5 = 574.62 feet

Each arc has the length of:

574.62/42 = 13.68 feet (rounded)

4. Area of each sector is:

A = πr²/42 = 3.14*91.5²/42 = 625.93 ft² (rounded

5. 3 revolutions is equal to 3 times the perimeter of circle (take from question 3) :

3*574.62 feet = 1723.86 feet

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