All categories

3 years ago

What is the sum of ¾ + ⅔ in simplist form

Mathematics

2 answers:

natali 33 [55]3 years ago

7 0

Answer:

The answer is 17/12

Step-by-step explanation:

3/4 + 2/3

= 9/12 + 8/12

= 9 + 8/12

= 17/12

r-ruslan [8.4K]3 years ago

7 0

We must find the common denominator.

The list of multiples of 4: 0, 4, 8, 12, 16, 20, ...

The list of multiples of 3: 0, 3, 6, 9, 12, 15, 18, ...

The common denominator is 12.

$\dfrac{3}{4}=\dfrac{3\cdot3}{4\cdot3}=\dfrac{9}{12}\\\\\dfrac{2}{3}=\dfrac{2\cdot4}{3\cdot4}=\dfrac{8}{12}$

Therefore:

$\dfrac{3}{4}+\dfrac{2}{3}=\dfrac{9}{12}+\dfrac{8}{12}=\dfrac{9+8}{12}=\dfrac{17}{12}=\dfrac{12+5}{12}=1\dfrac{5}{12}$

<h3>Answer: 17/12 = 1 5/12</h3>

You might be interested in

Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of

Law Incorporation [45]

Answer:

Step-by-step explanation:

To solve this problem, we will use the following two theorems/definitions:

- Given a vector field F of the form (P(x,y,z),Q(x,y,z),W(x,y,z)) then the divergence of F denoted by $\nabla \cdot F = \frac{\partial P}{\partial x}+\frac{\partial Q}{\partial y}}+\frac{\partial W}{\partial z}$

- (Gauss' theorem)Given a closed surface S, the following applies

$\int_{S} F\cdot \vec{n} dS = \int_{V} \nabla \cdot F dV$

where n is the normal vector pointing outward of the surface and V is the volume bounded by the surface S.

Let us, in our case, calculate the divergence of the given field. We have that

$\nabla \cdot F = \frac{\partial}{\partial x}(x)+\frac{\partial}{\partial y}(2y)+ \frac{\partial}{\partial z}(5z) = 1+2+5 = 8$

Hence, by the Gauss theorem we have that

$\int_{S} F\cdot \vec{n} dS = \int_{V} 8 dV = 8\cdot\text{Volume of V}$

So, we must calculate the volume V bounded by the cube S.

We know that the vertices are located on the given points. We must determine the lenght of the side of the cube. To do so, we will take two vertices that are on the some side and whose coordinates differ in only one coordinate. Then, we will calculate the distance between the vertices and that is the lenght of the side.

Take the vertices (1,1,1) and (1,1-1). The distance between them is given by

$\sqrt[]{(1-1)^2+(1-1)^2+(1-(-1)^2} = \sqrt[]{4} = 2$ .

Hence, the volume of V is $2\cdot 2 \cdot 2 = 8$ . Then, the final answer is

$\int_{S} F\cdot \vec{n} dS =8\cdot 8 = 64$

5 0

3 years ago

Two samples of carbon come into contact. A heat transfer will occur between sample A and sample B. What must be true for

Alik [6]

C is the answer :))) thank you

6 0

3 years ago

This is math And its hardishhhh :/

Colt1911 [192]

Answer:

First,i would add all the numbers up which is 14+9+12+13+12=60.Then,i would find the total number of people in there which is 5.After that,i would divide 60 by 5 which is 12.Each person will get 12 pencils.

Step-by-step explanation:

If u have anymore questions,let me know and i will be right there:D

4 0

3 years ago

Read 2 more answers

map of a city uses the scale 1 cm equals 50 m. On the map, South Street is 25 cm long. If there is a traffic cone at the start

aivan3 [116]

Answer:

125 traffic cones

Step-by-step explanation:

In order to find the total number of meters, we can set up a proportion to find based on the ration of cm to m:

$\frac{centimeters}{meters}=\frac{1}{50}=\frac{25}{x}$ , where 'x' is the number of meters

cross-multiply: x = 25(50) or x = 1250 m

Since there is a cone every 10 m, we can divide the total number of meters by 10:

1250/10 = 125 cones

4 0

3 years ago

Factor 2y^2+7y-14=0<br> How do I solve this by factoring ?

Gre4nikov [31]

Answer:

y=−7−(√161/4), −7+(√161)/4

Decimal form- y=1.42214438, -4.92214438

Step-by-step explanation:

3 0

3 years ago