How many different ways can you write a fraction that has a numerator of 2 as a sum of fractions

Answers

Answer 1

Answer: Infinitely many ways!
Suppose you have the fraction 2/d.

Pick any pair of integers a and b where b ≠ 0.
Then 2b-ad is and integer, as is bd so that (2b - ad)/bd is a fraction.

Consider the fractions a/b and (2b - ad)/bd

Their sum is
a/b + (2b-ad)/bd = ad/bd + (2b-ad)/bd = 2b/bd = 2/d - as required.

Since a and b were chosen arbitrarily, there are infinitely many possible answers to the question.

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mark an fred had some money in the ratio 6:1. mark gave half of his money to fred . what is the ratio of the amount of money mark had left to the amount mark had let to the amount of money fred had left

Answers

The requried ratio of the mark let to the amount of money Fred had left is 3:4.

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
mark an Fred had some money in the ratio 6:1. Mark gave half of his money to Fred.
Total proportion of money = 6 + 1 = 7,
Now,
assume that Mark has 6 coins and Fred has 1 coin,
Mark giving half of his coin to Fred means mark give 3 coins to fred,
Now,
Mark has 3 coins and Fred has 4 coins,
the ratio is given as
= 3 / 4

Thus, the requried ratio of the mark had left to the amount of money fred had left is 3:4.

Learn more about ratio here:

brainly.com/question/13419413

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The answer I believe is 3:4 but I'm not for sure

If 5x^2 - 15x = 0 and x ≠ 0, find the value of x.(A) -10
(B) -3
(C) 10
(D) 5
(E) 3

Answers

5x^2 - 15x = 0
5x (x - 3) = 0
5x = 0
x = 0
x - 3 = 0
x = 3

Since x cannot equal 0, x = 3 is your answer.

Destiny is doing a science fair project about ant population growth. She has a very young ant colony, and to estimate the population, she captures 25 ants and marks them with special paint. Destiny then releases them into the colony, waits a few days, and then captures 240 ants. She notices that 10 of these ants are marked. To the nearest whole number, what is the best estimate for the ant population?

Answers

Answer:resume

Step-by-step explanation:

step by step u measure

Resume because you have to do step by step

A scale drawing of a school bus has a scale of 1/2 inch to 5 feet. If the length of the school bus is 4 1/2 inches on the scale drawing, what is the actual length of the bus? Explain or show your reasoning.

Answers

Answer:

45 feet

Step-by-step explanation:

4 and 1/2 inches

1/2=5 feet

put the mixed number into an improper fraction

9/2 *5= 9*5= 45 feet

Answer:

10 inch

Step-by-step explanation:

5 1/2 + 4 1/2 = 10

The answers to the proof

Answers

great work! But please show more of the picture

How do you do question 9? If you answer please explain.

Answers

Answer:

bottom left is -2x and bottom right is -3

Step-by-step explanation:

if you were to use a timeline you subtract 5 from 3 and that leaves you -2 and add the x from before and for the bottom right 2 - 5 is negative three if you need help its easy to make a timeline

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