The fraction of 4.6% is ____.
Answers
Answer:
Answer is 460...mark as brainliest
Step-by-step explanation:
4.6=46/10
46/10×100
460
Answer:
4 3/5
Step-by-step explanation:
Okay, so the first thing to do here is show you that any number can be a fraction if you use a 1 as the denominator. Take a look:
4.6
1
What we really want to do though, is get rid of the decimal places completely so that the numerator in our fraction is a whole number. To do this, we have to count the numbers after the decimal point, which in this case is 6.
To get a whole fraction we need to multiply both the numerator and the denominator by 10 if there is one number after the decimal point, 100 if there are two numbers, 1,000 if it's three numbers and 10,000 if it's...well, you get the idea!
In our case 6 is 1 digit long so we need to multiply the numerator and denominator by 10.
Now we just need to do that multiplication to get our whole fraction:
4.6 x 10
1 x 10
=
46
10
The next step is to simplify this fraction and, to do that, we need to find the greatest common factor (GCF). This is sometimes also known as:
Greatest Common Divisor (GCD)
Highest Common Factor (HCF)
Greatest Common Denominator (GCD)
The GCF can be a bit complicated to work out by hand but you can use our handy GCF calculator to figure it out.
In the case of 46 and 10, the greatest common divisor is 2. This means that to simplify the fraction we can divide by the numerator and the denominator by 2 and we get:
46/2
10/2
=
23
5
And there you have it! In just a few short steps we have figured out what 4.6 is as a fraction. The complete answer for your enjoyment is below:
4 3/5
Note: because 46 is greater than 10 we have simplified this fraction even further to a mixed fraction.