Video Transcript
Consider that 𝑥 equals one-fifth
and 𝑦 is equal to 16 percent. By converting 𝑥 and 𝑦 to decimal
form, find the value of 𝑥 plus 𝑦 approximated to the nearest two decimals.
In this question, we’ll begin by
converting the values of 𝑥 and 𝑦 into decimal form. Let’s consider the fraction
one-fifth. By multiplying both the numerator
and denominator by two, we see that one-fifth is equivalent to two-tenths. Using our knowledge of place value,
this can be written as 0.2. And our value of 𝑥 is therefore
equal to 0.2.
Next, we recall that we can convert
a percentage to a decimal by dividing by 100. 16 percent is equal to 16 divided
by 100 or sixteen hundredths, which, written in decimal form, is 0.16. We now have values of both 𝑥 and
𝑦 in decimal form. And as such, we can find the value
of 𝑥 plus 𝑦 by adding 0.2 and 0.16. This is equal to 0.36, which is
already written to two decimal places. Adding the fraction one-fifth and
16 percent gives us 0.36. Whilst it is not required in this
question, we could also give our answer as 36 percent or 36 over 100. This fraction could also be given
in its simplified form of nine over 25 or nine twenty-fifths.
