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Taya2010 [7]
3 years ago
9

HELP!! To find the quotient of two fractions, you first need to rewrite the division problem as an equivalent multiplication pro

blem. Find this quotient using multiplication.
1)What is the reciprocal of the divisor?
2)Rewrite the division problem as an equivalent multiplication problem using the reciprocal of the divisor.
3)Multiply to find the quotient of the original problem. Show your work.
4)Simplify the quotient. Show your work.

( I'll give brainliest for the answer that answers 1-4 and actually helps, tysm! )

Mathematics
1 answer:
sergey [27]3 years ago
6 0
1. 5/6

2. 2/3 x 5/6

3. 2/3 x 5/6 = 10/18
Multiply the numerators— 2 x 5 = 10
Multiply the denominators—3x 6= 18

4. 10/18 = 5/9
Find the greatest common factor of 10 and 18 which is 2.
Divide the numerator by 2– 10/2 = 5
Divide the denominator by 2– 18/2 = 9

I hope this helps!
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The sum of two terms of gp is 6 and that of first four terms is 15/2.Find the sum of first six terms.​
Gnoma [55]

Given:

The sum of two terms of GP is 6 and that of first four terms is \dfrac{15}{2}.

To find:

The sum of first six terms.​

Solution:

We have,

S_2=6

S_4=\dfrac{15}{2}

Sum of first n terms of a GP is

S_n=\dfrac{a(1-r^n)}{1-r}              ...(i)

Putting n=2, we get

S_2=\dfrac{a(1-r^2)}{1-r}

6=\dfrac{a(1-r)(1+r)}{1-r}

6=a(1+r)                    ...(ii)

Putting n=4, we get

S_4=\dfrac{a(1-r^4)}{1-r}

\dfrac{15}{2}=\dfrac{a(1-r^2)(1+r^2)}{1-r}

\dfrac{15}{2}=\dfrac{a(1+r)(1-r)(1+r^2)}{1-r}

\dfrac{15}{2}=6(1+r^2)            (Using (ii))

Divide both sides by 6.

\dfrac{15}{12}=(1+r^2)

\dfrac{5}{4}-1=r^2

\dfrac{5-4}{4}=r^2

\dfrac{1}{4}=r^2

Taking square root on both sides, we get

\pm \sqrt{\dfrac{1}{4}}=r

\pm \dfrac{1}{2}=r

\pm 0.5=r

Case 1: If r is positive, then using (ii) we get

6=a(1+0.5)  

6=a(1.5)  

\dfrac{6}{1.5}=a  

4=a

The sum of first 6 terms is

S_6=\dfrac{4(1-(0.5)^6)}{(1-0.5)}

S_6=\dfrac{4(1-0.015625)}{0.5}

S_6=8(0.984375)

S_6=7.875

Case 2: If r is negative, then using (ii) we get

6=a(1-0.5)  

6=a(0.5)  

\dfrac{6}{0.5}=a  

12=a  

The sum of first 6 terms is

S_6=\dfrac{12(1-(-0.5)^6)}{(1+0.5)}

S_6=\dfrac{12(1-0.015625)}{1.5}

S_6=8(0.984375)

S_6=7.875

Therefore, the sum of the first six terms is 7.875.

5 0
3 years ago
PLZ HELP ASAP TANGENTS OF CIRCLES PROBLEMS
quester [9]
A circumscribed angle is that which is formed by the intersection of the two tangent lines in a circle. With this, we can conclude that segments AC and AB are tangent to circle O. The tangent lines forms a right angle with the radius of the circle drawn from the center of the circle to the tangent point. 

By the explanation above, we can say that angles C and B are equal to 90° and that triangle ACO and triangle ABO are congruent. Which means that segment AC is equal to segment AB. Thus, the length of AB is also 4. 

<em>Answer: 4 units</em>
7 0
3 years ago
What is the simplification of (-2x+4) + 2(2x+1)
melomori [17]
(-2x+4)+2(2x+1)= -2(-x-3)
4 0
3 years ago
Please add this problem 4 5/6 + 6/7=
sweet [91]
Convert to a mixed number:
239/42

Divide 239 by 42:
4 | 2 | 2 | 3 | 9

42 goes into 239 at most 5 times:
 | | | | 5
4 | 2 | 2 | 3 | 9
 | - | 2 | 1 | 0
 | | | 2 | 9

Read off the results. The quotient is the number at the top and the remainder is the number at the bottom:
 | | | | 5 | (quotient)
4 | 2 | 2 | 3 | 9 | 
 | - | 2 | 1 | 0 | 
 | | | 2 | 9 | (remainder)


The quotient of 239/42 is 5 with remainder 29, so:

Answer: 5 29/42
7 0
3 years ago
Read 2 more answers
Once debbie arrives in each city,she'll need a backpack to carry around with her. What was the percent markup if a store bought
deff fn [24]

Answer:

60%

Step-by-step explanation:

40 / 25 - 1 = 60%

6 0
3 years ago
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