23.9k views
3 votes
What is 3.24 ( 4 repeating) as a fraction?

2 Answers

3 votes

Final answer:

The number 3.24 (4 repeating) can be expressed as the fraction 29.2/9.

Step-by-step explanation:

The number 3.24 (4 repeating) can be expressed as a fraction by using the concept of repeating decimals. Let's call the number x:

x = 3.2444444...

To get rid of the repeating part, multiply x by 10. This will move the decimal point one place to the right:

10x = 32.444444...

Now, subtract the original equation from the new equation:

10x - x = 32.444444... - 3.2444444...

9x = 29.2

x = 29.2/9

So, 3.24 (4 repeating) can be expressed as the fraction 29.2/9.

User EdvRusj
by
4.9k points
6 votes

Answer:

81/25

Step-by-step explanation:

change 3.24 into faction

324 over 100 because there are two decimal points .

simplfy into the smallest fraction

the answer is 81 over 25

User Gmoraleda
by
4.7k points