Write each fraction as a percent.

Question

\frac{8}{5}

Accepted Answer

welcome back. I am so glad you're here. We are given the fraction 14 5th and were to write it as its percentage equivalent while we recall from previous lessons that to get this to its percentage equivalent, we're going to multiply it by 100%. Alright, we can rewrite that 100% as a fraction. 100% is 100 over one and then bring down the percent here And now we can multiply across the numerator and across the denominators I'm going to keep these as factors for a moment. So 14 times 100 in the numerator and then five times one that's five in the denominator and then the percent at the end. Because what we can do here is whenever we have a factor that occurs in both the numerator and the denominator then they cancel out they become ones. So inside of 100 is there a five? Yeah, 100 is the same as five times 20. So we can rewrite this as 14 times five times 20 In the numerator divided by five and there look at our fives, those can cancel out they become ones. And now in the numerator we have 14 times one times 20 while doing that math that equals 280. And that's divided by just one in the denominator and then percent. While 280 divided by one is 280%. Now we can always ask ourselves when we're dealing with fractions and percents. Does this answer make sense. That's a big number. It's bigger than 100%. And yeah, that does make sense because the fraction that we started off with that had a larger number in the numerator than in the denominator. So we're going to have a number greater than 100% for our answer. We look at our answer choices and that matches with answer choice. C Well done. We'll catch you on the next one.

Write each fraction as a percent.
$\frac{8}{5}$

Key Concepts

Fraction to Decimal Conversion

Understanding Percentages

Interpreting Improper Fractions

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