Why do fractions need to have a common denominator before you add or subtract them?

Answers

Answer 1

Answer: The denominator of a fraction tells you the relative size of thepieces. For instance, 1/2 is bigger than 1/4 because it only takes 2pieces to make a whole, as opposed to 4 pieces to make a whole. Onemight connect the need for a common denominator to the need for havingcommon units before adding or subtracting (you wouldn't add 12 inches to12 feet and get 24 for an answer). Therefore, the reason fractions needa common denominator before adding or subtracting is so that the numberof pieces you are adding/subtracting are all the same size. By the way,the numerator of a fraction just tells you how many pieces you have ofthat size.

Answer 2

Answer: Fractions need to have a common denominator because it tells how many pieces the whole is divided into. If one whole is divided into two parts, and another whole the same size is divided in to three parts, one out of the two parts will not be the same size as one out of the three parts.
If we use a common denominator, it ensures each piece is the same size.

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Find the distance (-4,5) and (7,18)

Answers

Answer:

$√(290)\ units$

Step-by-step explanation:

The distance between points $(x_1,y_1)$ and $(x_2,y_2)$ is

$√((x_1-x_2)^2+(y_1-y_2)^2)$

Hence, the distance between points $(-4,5)$ and $(7,18)$ is

$√((-4-7)^2+(5-18)^2)\n \n=√((-11)^2+(-13)^2)\n \n=√(121+169)\n \n=√(290)\ units$

What is the answer to this math problem

Answers

Remember that dividing by a fraction is the same as multiplying by it's reciprocal. For example x ÷ 2/10 is the same as x * 10/2.

2÷ $(2)/(3)$ ×-6×5÷ $- (3)/(4)$
Lets convert all of the division to multiplication by using the reciprocal of the fractions
2× $(3)/(2)$ ×-6×5× $- (4)/(3)$
Simplify
3*-6*5*-4/3
-18*5*-4/3
-90*-4/3
120

Answer=120

Angelo's pet rabbit weighs 1 pound less than twice the weight of Carmen's pet rabbit.Angelo's pet rabbit weighs 9 pounds. Write an equation that can be used to find (w) , the weight of Carmen's pet rabbit

Answers

w=(9+1)/2 i think? its worded strangely

What number is 30 more than -16?

Answers

14
$-16+30=14$

The awsner is 14. -16 + 30 = 14. Hope i helped

I WILL AWARD BRAINLIEST!In the figure, a║b. Find x+y in terms of z and w.
A. 180°+z−w
B. 180°–z−w
C. w−z
D. 180°+w−z

Answers

Answer:

A. 180°+z−w

Step-by-step explanation:

We know that x + w = 180 because they are same side exterior angles and a and b are parallel.

z=y because they are alternate interior angles and a and b are parallel.

x + w = 180

Solve for x by subtracting w from each side

x = 180-w

y =z

Lets find x+y

x+y

(180-w) +z

Rewriting

180+z-w

Answer:

A. 180º + z - w

Step-by-step explanation:

x + w = 180, because they are same side exterior angles, and are on opposite sides.

z = y, because if you move z down, then you will see that they overlap.

From x + w = 180, you can get x = 180 - w.

We are trying to find x + y in terms of w and z, so:

x = 180 - w

y = z

With that, you can assemble the expression, 180 - w + z.

If you re-arrange, you will get 180 + z - w.

Therefore, A is the answer.

There are 60 people on a bus and 5/6 of them are children how many are adults

Answers

60 / 6 = 10 .......===================》 10 × 5 = 50 kids ........====================》 60 - 50 = 10 adults

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