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KATRIN_1 [288]
4 years ago
15

What is a simple rule for adding and subtracting like fractions

Mathematics
2 answers:
konstantin123 [22]4 years ago
7 0

Here is you're answer:

One of the most simple rules when solving fractions is to "find the common denominator."

Example:

  • \frac{1}{2} + \frac{1}{2} =
  • Find the common denominator:
  • Common denominator is 2:
  • 1 +1=2
  • = \frac{2}{2} = 2

So, in order to solve fractions you first have to find the common denominator of each fraction, then you have to add or subtract the numerators to equal you're answer.

Hope this helps!

qwelly [4]4 years ago
3 0

<u><em>Mixed Numbers:</em></u>                                        

1 1/2 + 1/5          Convert 1 1/2 to an improper fraction                    

3/2 + 1/5            Find the common denominator

15/10 + 2/10      Add 15/10 to 2/10

17/10                  Turn to mixed or keep to improper

<u><em>Answer:</em></u>  1 7/10


<u><em>Fraction:</em></u>

1/5 + 1/4           Find the common denominator

4/20 + 5/20         Add 4/20 to 5/20

<u><em>Answer:</em></u> 9/20


<u><em>*The equations are examples*</em></u>

<u><em>Hope this helps</em></u>

<u><em>Please Mark Me As Brainiest</em></u>

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5 0
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Hello everyone, could you please solve this problem step by step. I don't have the exact solution and there are no options for i
lara31 [8.8K]

Answer:

<em>The area of the shaded part  = 61.46</em>

<em />

Step-by-step explanation:

Assume the hypotenuse of the triangle is c (c>0)

As the triangle inscribed in the semi circle is the right angle triangle, its hypotenuse is equal to the diameter of the circle.

The hypotenuse of the triangle can be calculated by Pythagoras theorem as following: c^{2} =a^{2} +b^{2} =(2\sqrt{5}) ^{2} + (4\sqrt{5}) ^{2} = 20 + 80 = 100

=> c = 10

So that the semi circle has the diameter = 10 => its radius = 5

  • The total area of 2 semi circles is equal to the area of the circle with radius =5

    => The total area of 2 semi circles is: \pi x 5^{2} = 25\pi

  • The area of a triangle inscribed in the semi circle is: 1/2 x a x b = 1/2 x 2\sqrt{5\\ x 4\sqrt{5} = 20

    => The area of 2 triangles inscribed in 2 semi circles is: 2 x 20 = 40

  • The area of the square is: c^{2} = 10^{2} =100

It can be seen that:

<em>The area of the shaded part = The area of the square - The total area of 2 semi circles + The total are of 2 triangles inscribed in semi circles </em>

<em>= 100 -  25</em>\pi<em> + 40 = 61.46</em>

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