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mafiozo [28]
3 years ago
13

Whats the lcd of 1/7,14/17,12/13,5/6

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
3 0
LCD (1/7, 14/7, 12/13, 5/6)

LCM = (7, 7, 13, 6)

=  2 * 3 * 7 * 13

=  546



1/7  = 78/546

14/7  = 1092/546

12/13  = 504/546

5/6  = 455/546




Calculation:

1/7 + 14/7 

= 1 + 14/7

=  15/7


The common denominator you can calculate as the least common multiple of the both denominators:   LCM (7, 7) = 7


Add:

15/7 + 12/13 

= 15 . 13/7. 13  + 12 . 7/13 . 7

= 195/91 + 84/91

=  195 + 84/91 

=  279/91


The common denominator you can calculate as the least common multiple of the both denominators:  LCM (7, 13) = 91



Add:

279/91 + 5/6

= 279 . 6/91 . 6 + 5 . 91/6. 91

= 1674/546 + 455/546

= 1674 + 455/546 

= 2129/546



The common denominator you can calculate as the least common multiple of the both denominators:  LCM (91, 6) = 546



Hence, 546 is the LCM/LCD of (1/7, 14/17, 13/13, 5/6).






Hope that helps!!!!!!


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2 years ago
FIND THE SUM OF 20 TERMS OF THE ARITHMETIC SERIES IN WHICH 3rd TERM IS 7 AND 7th TERM IS 2 MORE THAN THREE TIMES ITS 3rd TERM
algol13

Answer:

740

Step-by-step explanation:

The n th term of an arithmetic series is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then

a₁ + 2d = 7 → (1)

a₁ + 6d = 23 → (2)

Subtract (1) from (2) term by term

4d = 16 ( divide both sides by 4 )

d = 4

Substitute d = 4 into (1)

a₁ + 2(4) = 7

a₁ + 8 = 7 ( subtract 8 from both sides )

a₁ = - 1

The sum to n terms of an arithmetic series is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ] , thus

S_{20} = \frac{20}{2} [ (2 × - 1) + (19 × 4) ]

     = 10(- 2 + 76) = 10 × 74 = 740

8 0
3 years ago
1.Which explains why the sequence 216, 12, 2/3 is arithmetic or geometric?
Free_Kalibri [48]

Hi Timothy,

1.Which explains why the sequence 216, 12, 2/3 is arithmetic or geometric?

Answer - C.The sequence is geometric because it decreases by a factor of 1/18

The reason I chose C is the fact that the numbers go down greatly, and it has to to be geometric because when you are trying to solve the problem with arithmetic you don't get and exact rule for how to solve the problem.

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3 years ago
Solve for f. Show your work! 8=f-(13-2)
Nana76 [90]

Answer:

So F=19

Step-by-step explanation:

8=f-(13-2)

8=f-11

+11  +11       You plus 11 by both sides

19=f

You can check you answer by plugging it in

8=19-(13-2)

your answer would still be 19

8 0
3 years ago
Is finding 9/10-1/2 the same as finding 9/10-1/4-1/4?explain.
zavuch27 [327]
Yes it is the same. 1/4 +1/4 = 1/2. so 9/10-1/2=9/10-1/2
5 0
3 years ago
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