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ser-zykov [4K]
3 years ago
8

How do I change mixed numbers to improper fractions

Mathematics
1 answer:
viktelen [127]3 years ago
6 0
<h3>Converting Mixed Fractions to Improper Fractions</h3>

To convert a mixed fraction to an improper fraction, follow these steps:

  • Multiply the whole number by the fraction's denominator.
  • Add that to the numerator
  • Then write the result on top of the denominator.                                            
<h3 /><h3>Example: </h3>

Let's use 3 2/5 for example.

  • Multiply the whole number by the denominator:

       3 x 5 = 15

  • Add that to the numerator:

       15 + 2 = 17

  • Then write that result above the denominator:

       17/5

<h3 /><h3>Hope this helps! <3</h3>
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Three consecutive integers can be represented by n, n + 1, and n + 2. if the seum of three consecutive integers is 57, what are
Helen [10]
Sum means add
sum of the 3 is
n+n+1+n+2

it add to 57
n+n+1+n+2=57
3n+3=57
minus 3 both sides
3n=54
divide both sides by 3
n=15
n+1=16
n+2=17

the integers are 15,16, and 17
8 0
3 years ago
The school cafeteria served three kinds of lunches today to 225 students. The students chose the cheeseburgers three times more
r-ruslan [8.4K]

1)

Let the number of fish sandwiches sold br represented by x

Then the number of grilled cheese sold is 2X

and the number of cheeseburgers 3(2x)

x + 2x + 3(2x) = 225

and solve

2)

Let x represent the no. of pounds of peanuts

Then x + 14 represents the no of pounds of the mixture

And

(2.25)x + (3.25)(14) = (2.65)(x + 14

and solve

3) Try on your own

plz mark me as brainliest :)

3 0
3 years ago
Prove by mathematical induction that 1+2+3+...+n= n(n+1)/2 please can someone help me with this ASAP. Thanks​
Iteru [2.4K]

Let

P(n):\ 1+2+\ldots+n = \dfrac{n(n+1)}{2}

In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:

P(1):\ 1 = \dfrac{1\cdot 2}{2}=1

So, the base case is ok. Now, we need to assume P(n) and prove P(n+1).

P(n+1) states that

P(n+1):\ 1+2+\ldots+n+(n+1) = \dfrac{(n+1)(n+2)}{2}=\dfrac{n^2+3n+2}{2}

Since we're assuming P(n), we can substitute the sum of the first n terms with their expression:

\underbrace{1+2+\ldots+n}_{P(n)}+n+1 = \dfrac{n(n+1)}{2}+n+1=\dfrac{n(n+1)+2n+2}{2}=\dfrac{n^2+3n+2}{2}

Which terminates the proof, since we showed that

P(n+1):\ 1+2+\ldots+n+(n+1) =\dfrac{n^2+3n+2}{2}

as required

4 0
3 years ago
A rectangle has an area of 40cm cubed and a length of eight cm sketch the rectangle and grind the width
crimeas [40]
40 divided by 8= 5
the width is 5
6 0
3 years ago
The circumference of a circle is 47.1 feet. What is the diameter of the circle? 7.5 ft 15 ft 147.9 ft 30 ft
MAVERICK [17]
Hi Zack! Thanks for asking a question here on Brainly.

█ Explanation <span>█
</span>
<span>✦ We are looking to find the diameter of the circle.
</span>✦ Do the following formula to find the diameter.
✦ 47,1/ \pi =47.1/3.14
<span>✦ = 15 ft 
</span>
Answer: 15 ft 

<span>Hope that helps! ★ <span>If you have further questions about this question or need more help, feel free to comment below or leave me a PM. -UnicornFudge aka Nadia </span></span>
6 0
3 years ago
Read 2 more answers
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