Juliana answered 42 times correctly on an 80-item quiz, while her sister Angela answered 21 items co | MathCelebrity Forum

Juliana answered 42 times correctly on an 80-item quiz, while her sister Angela answered 21 items co

math_celebrity

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Juliana answered 42 times correctly on an 80-item quiz, while her sister Angela answered 21 items correctly on a 40-item quiz. Do they have the same portion of correct answers?

Let's compare based on correct answers to questions:
Juliana = 42/80 = 0.525
Angela = 21/40 = 0.525

So yes, they do have the same portion of correct answers.

But there's another way to solve this:
  1. Divide Juliana's the top and bottom of Juliana's fraction by 2.
  2. We picked 2 as a GCF shown in our calculator.
  3. Type GCF of 42 and 80.
Divide top and bottom of Juliana's fraction by the GCF of 2
42/2 = 80/2 = 21/40

This ratio equals Angela's.
 
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