Write each fraction as a percent. 9/4

Question

Accepted Answer

Welcome back. I am so glad you're here. We are given this fraction. 13/4 and were asked to write it? As its percentage equivalent. So how do we do that? We recall from previous lessons that to write a fraction in its percentage equivalent. We're going to multiply the fraction by 100%. Now we can rewrite that 100% as a fraction, that would be 100 over 1%. And now we can multiply the numerator straight across and the denominators straight across because we are multiplying two fractions together. So I'm going to keep the numerator xas two factors at this 20.13 times 100 And then multiply the denominators four times one. Because if we have a factor that occurs in both the numerator and the denominator then those factors can cancel out and become ones. And so does 100 have four in it as a factor. Yes, it does. Four times 25 equals 100. So now I can write the numerator is 13 times four times 25 and the denominator is still four. But look at those fours, those can cancel out and become ones. So now in the numerator we have 30 times one times 25 which is 325 and the denominator is just one. So 325 divided by one is 325. So our answer is 325%. Now it's always good to pause for a moment When we're working on fractions and percents. And ask ourselves, does my answer make sense. 325 is a big number. That's a lot bigger than 100%. Does that make sense for our fraction? 13/4 and yeah, 13/4 has a much bigger number in the numerator than it does in the denominator. So it's going to be an answer larger than 100%. Now we look at our answer choices and 325% matches with answer choice B well done. We'll catch you on the next one.

Write each fraction as a percent. 9/4

Key Concepts

Fractions

Percentages

Conversion Techniques

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