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Nikitich [7]
3 years ago
12

How do the gcf and the lcm help you when multiplying and adding or subracting fractions

Mathematics
1 answer:
kari74 [83]3 years ago
4 0
<h3>Explanation:</h3>

GCF: the greatest common factor of numerator and denominator is a factor that can be removed to reduce the fraction.

  <em>Example</em>

The numerator and denominator of 6/8 have GCF of 2:

  6/8 = (2·3)/(2·4)

The fraction can be reduced by canceling those factors.

  (2·3)/(2·4) = (2/2)·(3/4) = 1·(3/4) = 3/4

___

LCM: the least common multiple of the denominators is suitable as a common denominator. Addition and subtraction are easily performed on the numerators when the denominator is common.

  <em>Example</em>

The fractions 2/3 and 1/5 can be added using a common denominator of LCM(3, 5) = 15.

  2/3 + 1/5 = 10/15 + 3/15 = (10+3)/15 = 13/15

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A recipe for 10 servings of raspberry sorbet calls for 2 cups of water, 1/1.2 cups of granulated sugar, and 4 cups of frozen ras
babunello [35]
We know that 16 cups are in 1 gallon
We also know that 10 servings = 2 cups


Now that means 80 servings = 1 gallon
That means we need 320 / 80=4

It is A 4 gallons 
Hope this helps
3 0
3 years ago
Read 2 more answers
Divide fractions 1/2 divided by 1/6
SVEN [57.7K]
1/2 divided by 1/6 is 3

use KCF strategy

1/2 x 6/1=3

1x6=6

2x1=2

6/2=3
4 0
3 years ago
12. Find the surface area of each figure to the nearest tenth.
Zolol [24]

Answer:

  12a. 471.2 cm²

  12b. 60 m²

Step-by-step explanation:

Part A.

The surface area of each figure is the sum of the end area and the lateral area.

  <u>cylinder</u>

  S = (2)(πr²) +2πrh = 2πr(r +h)

  S = 2π(5 cm)(5 cm +10 cm) =150π cm² ≈ 471.2 cm²

__

  <u>triangular prism</u>

  S = (2)(1/2)bh + PL . . . . b=triangle base; h=triangle height; P=triangle perimeter; L=length of prism

  S = (4 m)(1.5 m) + ((4 + 2·2.5) m)(6 m) = (6 + 54) m² = 60 m²

_____

Part B.

Surface area is useful in the real world wherever products are made from sheets of material or wherever coverings are applied.

Carpeting or other flooring, paint, wallpaper are all priced in terms of the area they cover, for example.

The amount of material used to make containers in the shapes shown will depend on the area of these containers (and any material required for seams).

6 0
2 years ago
What is the quotient to four dived by fifty
allsm [11]
0.08 if 4 divided by 50
12.5 if 50 divided by 4
8 0
2 years ago
Read 2 more answers
In a list of five consecutive odd integers, the sum of the first and double the last is 139. What is the largest sum?
Leviafan [203]

Answer: 49

Step-by-step explanation:

From your question, I think you mean the largest number. The answer is given below.

Let the five consecutive odd numbers be:

a, a+2, a+4, a+6 and a+8.

Thee sum of the first and double the last is 139. This can be written as:

a + 2(a+8) = 139

a + 2a + 16 = 139

3a + 16 = 139

3a = 139 - 16

3a = 123

a = 123/3

a = 41

The first number = 41

The largest number = a+8 = 41 + 8 = 49.

7 0
2 years ago
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