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marissa [1.9K]
3 years ago
5

What is the least common denominator of 1/4, 3/7, 1/11

Mathematics
1 answer:
inna [77]3 years ago
6 0
Alright. One way you can do this is to list multiples of each denominator:

1/4:
4, 8, 12, 16, 20, 24, 28, 32, 36...... and so on

3/7:
7, 14, 21, 28, 35, 42, 49, 57, 63......

1/11;
11, 22, 33, 44, 55, 66, 77, 88......

Keep going until you see the least common denominator!

Now an easier way to do this is by multiplying all of the numbers in the denominator then get the factors:

4*7*11 = 308

And since those are not divisible by a whole number (besides 4 but 308 won't be divisible by 2*7*11)

Therefore 308 is the least common denominator.
You might be interested in
The sum of three consecutive integers is 141. What is the smallest integer?
Sonja [21]

Answer:

The Consecutive number are 46 , 47 and 48 having sum as 141

The smallest number is 46

Step-by-step explanation:

• A consecutive numbers means number are in a sequence and are one after the another !

e.g. n , (n+1). Or 1 , 2 are consecutive numbers

• A consecutive even numbers differ by 2 because all even numbers are divisible by 2 !

• If the number is divisible by x we must had taken number as n , ( n + x ) ,

( n + 2x )

• Let the numbers be ( n - 1 ) , n and

( n + 1 )

Given ,the sum of numbers is 141

n - 1 + n + n + 1 = 141

3n = 141

n = 141/3

n = 47

So, the numbers are

n- 1 = 47 - 1 = 46

n = 47

n + 1 = 48

And , the smallest number is 46

• Verification :-

46 + 48 + 47 = 141

Which satisfies the given condition !!

Hence , verified !!

8 0
3 years ago
How do you get the answer for 3n+5 I’m trying to get my grade up from a C so how do you find this answer?
lana [24]

I think it’s six because 3n=6-5 3 n=6-5 then subtract 5 5 from 6 6

7 0
3 years ago
100+ POINTS <br> Go to my profile for more
VARVARA [1.3K]

Answer:

thanks

Step-by-step explanation:

4 0
2 years ago
Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for t
Marizza181 [45]

Answer:

a_n = -2 + n is an expression which describe the given sequence

Step-by-step explanation:

Arithmetic sequence states that a sequence where the difference between each successive pair of terms is the same.  

The general rule for the arithmetic sequence is given by;  

a_n =a_1+(n-1)d               ......[1]

where

a_1 represents  the first term

d represents the common difference

and n is the number of terms;

Given sequence: -1 , 0 , 1 , 2 , .....

This is an arithmetic sequence with common difference

Since,

0-(-1) = 1

1-0 =1

2-1 = 1 ....

Here, a_1 = -1

Substitute the value of a_1 = -1 , d =1 in [1] we get

a_n = -1 +(n-1)(1)

a_n = -1 + n -1 = -2 +n

Therefore,an expression which describe the given sequence is,  a_n = -2 + n




6 0
3 years ago
A set of points in the xy-coordinate plane meets two conditions, as described.
Pepsi [2]

Answer:

Condition 1:   y>0

Condition 2:  x+y>-2

Step-by-step explanation:

We are told that we have a set of points in the Cartesian system (i.e. x-y coordinate), so we can define our point as:

(x,y)

We are given two conditions and we want to create a system of inequalities. Now, generally speaking, inequalities are expressions relating mathematical expressions through 'comparison' (i.e. less than, greater than, or less/greater and equal to) usually recognized by , >, \leq and \geq, respectively.

So in our case let set up our inequalities.

Condition 1: the y-coordinate is positive

This can be mathematically translated as

y>0

(i.e. y is greater than 0, therefore positive)

Condition 2: the sum of the coordinates is more than -2

This can be mathematically translated as

x+y>-2

(i.e. the summation of the two coordinates is greater than -2 but not equal to).

The system of inequalities described by the two conditions is:

y>0\\x+y>-2

3 0
3 years ago
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