We want to find a fraction that is equivalent to the given ratio. We can do this by multiplying the numerator and the denominator of the fraction by the same whole number. Since we also want to write the given fraction as a percent, let's write our equivalent fraction with a denominator of 100.
5/20=x/100We multiply 20 by 5 to get 100, so we will also multiply 5 by 5 to get an equivalent fraction.
We found that 520 and 25100 are equivalent fractions. Note that there are infinitely many ratios that are equivalent to the given ratio — this is only one of them.
Percent
Now we will write the new fraction as a percent by using the numerator and adding a percent symbol.
5/20=25/100 ⇒ 5/20= 25 %
Let's follow our steps again for Part B.
Equivalent Fraction
Let's find an equivalent fraction with a denominator of 100.
9/25=x/100If we multiply 25 by 4, we get 100. Let's also multiply 9 by 4 to get our equivalent fraction.
We found that 925 and 36100 are equivalent fractions. There are infinitely many ratios that are equivalent to the given ratio. This is only one of them.
Percent
Now we can write the new fraction as a percent by using the numerator and adding a percent symbol.
9/25=36/100 ⇒ 9/25= 36 %
Let's consider the last fraction.
Equivalent Fraction
We want to find an equivalent fraction for the given fraction.
9/6
Notice that both 9 and 6 are a multiple of 3. This means that we can divide the numerator and the denominator of the fraction by the same whole number, 3, to get an equivalent fraction.
We found that 96 and 32 are equivalent fractions. There are infinitely many ratios that are equivalent to the given ratio. This is only one of them.
Percent
Now let's rewrite our equivalent fraction, 32, as a fraction with a denominator of 100.
3/2=x/100
We multiply 2 by 50 to get 100, so let's also multiply 3 by 50 to get an equivalent fraction.
We found that 96, 32, and 150100 are equivalent fractions. Now we can write the new fraction as a percent by using the numerator and adding a percent symbol.
9/6=150/100 ⇒ 9/6= 150 %
