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ser-zykov [4K]
3 years ago
10

Please show how you got your answer to the problem. 4/5 + 3/15 - 2/3 =

Mathematics
1 answer:
natta225 [31]3 years ago
5 0

Answer:

Simplified Answer: 1/3 Non-Simplified Answer: 5/15

Step-by-step explanation:

Make every fraction have a common denominator:

4/5 * 3/3 = 12/15

3/15 = 3/15

2/3 * 5/5 = 10/15

Add and/or Subtract the numerator(s):

12 + 3 = 15

15 - 10 = 5

Place the final numerator over the denominator (Non-simplified Answer):

5/15

Simplify (What can you divide the numerator and the denominator by to make the fraction into it's simplest from without any remainders?):

5 goes into both 5 and 15.

5/15 divided by 5 = 1/3

Simplified Answer:

1/3

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3 years ago
Solve for b a equals A=3(b + C)
Scrat [10]

Answer: Correct option is A)

It is given that a:(b+c)=1:3 and c:(a+b)=5:7 and we solve these expressions

Step-by-step explanation:

b+c

a

​

=

3

1

​

⇒3a=b+c

⇒3a−b=c....(1)

a+b

c

​

=

7

5

​

⇒7c=5(a+b)

⇒7c=5a+5b....(2)

Multiplying the first equation by 7 we get:

7(3a−b)=7c

⇒7c=21a−7b....(3)

Now, subtracting equation 2 from equation 3, we have:

7c−7c=(21a−7b)−(5a+5b)

⇒0=21a−7b−5a−5b

⇒16a=12b

⇒b=

12

16a

​

⇒b=

3

4a

​

Substituting the value of b in equation 1:

3a−

3

4a

​

=c

⇒c=

3

9a

​

−

3

4a

​

⇒c=

3

9a−4a

​

⇒c=

3

5a

​

Now, lets find the value of b:(a+c) as shown below:

a+c

b

​

=

a+

3

5a

​

3

4a

​

​

=

3

3a

​

+

3

5a

​

3

4a

​

​

=

3

8a

​

3

4a

​

​

=

3

4a

​

×

8a

3

​

=

8a

4a

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=

2

1

​

=1:2

hence, b:(a+c)=1:2.

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Find the ratio of 20 : 50
AlladinOne [14]

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