Question

Reginald answered at 78% of the questions on his social studies quiz correctly what fractional part of the question did he not answer correctly

Answer 1

If Reginald answered 78% correctly out of a total 100%, we can subtract 78 from 100:

100 - 78 = 22

He answered 22% of the question incorrectly. But how do we find the bottom number? Remember what we said earlier. The total is 100%. He got 22% out of 100% wrong. Wouldn't that be $\frac{22}{100}$?

Now that we know our fraction, we can reduce it. Let's start by dividing our fraction in half:

$\frac{22}{100}$ = $\frac{11}{50}$

Can we reduce that any more? No, because 11 can not be divided by anything else.

If you want the first fraction, go with $\frac{22}{100}$, but if they want a reduced fraction, then $\frac{11}{50}$ would be best.