Write each percent as a fraction. Give answers in lowest terms...

Question

Write each percent as a fraction. Give answers in lowest terms.

$180 percent sign$

Accepted Answer

Everyone in this problem we have the following number written in percentage notation. Were asked to rewrite it in its fraction equivalent and reduced to the lowest terms possible. Okay we're given 340% now let's recall. We're writing percentages. These are per 100. Hm It's always related to 100. And so we can write the percentage is Divided by 100. Okay If you get 85% on your test you get 85 out of 100. If there were 100 questions. Okay. Same thing here. 340%. We divide by 100 and now we want to go ahead and reduce this fraction and what we'll notice is that we have a common um Divisor of 20. Okay We can divide 340 by 20. We can divide 100 by 20. Okay so let's go ahead and do that. So in the numerator we're gonna have 340 divided by 20. And in the denominator we have 100 Divided by 20. Okay and this keeps our fraction equivalent or consistent. Okay because we're dividing the top and bottom by the same thing. Now 340 divided by 20 is going to give us 17 and divided by 20 is going to give us five. Okay? And we look at this, we know that there's no nothing else for us to reduce here, 17 is prime. So we're not gonna be able to divide that further. Okay so our answer is going to be c A 340% written infraction is 17/5. That's it for this one. Thanks everyone for watching. See you in the next video.

Write each percent as a fraction. Give answers in lowest terms.
$180 percent sign$

Key Concepts

Understanding Percentages

Converting Percent to Fraction

Simplifying Fractions

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