Video Transcript
If 0.05 is equal to 𝑎 percent,
which is equal to 𝑏 over 20, find 𝑎 and 𝑏.
In the first part of this question,
we need to express the decimal 0.05 as a percentage. We recall that any decimal 𝑑 can
be written as a percentage 𝑝 percent by multiplying 𝑑 by 100. This means that in this question,
𝑎 is equal to 0.05 multiplied by 100. As multiplying by 100 moves all our
digits two places to the left, 0.05 multiplied by 100 is five. 0.05 is equal to five percent. Therefore, 𝑎 is equal to five. We also need to write this decimal
as a fraction. As 0.05 is equivalent to five
hundredths, we have the fraction five over 100.
We’re asked to write this in the
form 𝑏 over 20. Since 20 multiplied by five is 100,
we’ve divided the denominator of our fraction by five. We must do the same to the
numerator. And as five divided by five is
equal to one, the fraction five hundredths is equivalent to one twentieth. And we can therefore conclude that
𝑏 is equal to one. The decimal 0.05 is equivalent to
five percent and one twentieth as a fraction in its simplest form.
