Start by finding what number we would multiply 40 by to get 100 in the denominator of our fraction.
A
40 %
B
45/100 or 9/20
C
120/100 or 6/5
D
52.5 %
Practice makes perfect
We want to write the given fraction as a percent. Let's start by finding an equivalent fraction with a denominator of 100.
2/5=x/100
We multiply 5 by 20 to get 100, so we will also multiply 2 by 20 to get an equivalent fraction.
We found that 25 and 40100 are equivalent fractions. Now we can write the new fraction as a percent by using the numerator and adding a percent symbol.
2/5=40/100 ⇒ 2/5= 40 %
To write a percent as a fraction, we write the number part as a numerator over 100.
45 %=45/100
Then, we can simplify the fraction. We can do so by dividing both the numerator and denominator by the greatest common factor of 45 and 100. Let's list all factors of 45 and 100!
Factors of45: &1, 3, 5, 9, 15, 45
Factors of100: &1, 2, 4, 5, 10, 20, &25, 50, 100
The greatest common factor of 45 and 100 is 5. We can use this information to simplify our fraction.
We found that 45 % expressed as a fraction is 45100, or 920.
To write a percent as a fraction, we write the number part as a numerator over 100.
120 %=120/100
Notice that we can simplify our fraction by dividing both the numerator and denominator by the greatest common factor of 120 and 100. Now, we can list all factors of 120 and 100.
Factors of120: &1, 2, 3, 4, 5, 6, 10, &12, 20, 24, 30, 40, &60, 120
Factors of100: &1, 2, 4, 5, 10, 20, &25, 50, 100
The greatest common factor of 120 and 100 is 20. Let's simplify our fraction!
We found that 120 % expressed as a fraction is 120100, or 65.
We want to write the given fraction as a percent. First, let's find an equivalent fraction with a denominator of 100.
21/40=x/100If we multiply 40 by 2.5, we get 100, so let's multiply both the numerator and denominator of our fraction by 2.5 to get an equivalent fraction.
We found that 2140 and 52.5100 are equivalent fractions. Now we can write the new fraction as a percent by using the numerator and adding a percent symbol.
21/40=52.5/100 ⇒ 21/40= 52.5 %
