Glencoe Math: Course 2, Volume 1
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Glencoe Math: Course 2, Volume 1 View details
2. Compare and Order Rational Numbers
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Exercise 2 Page 275

Begin by rewriting the mixed numbers as improper fractions. How can you compare two fractions with the same denominator?

- 7 58 < - 7 18

Practice makes perfect
In this exercise, we are given two mixed numbers. - 7 58 ? - 7 18 First, we will rewrite these mixed numbers as improper fractions. Let's begin with - 7 58.
- 7 58
- 7* 8+5/8
- 56+5/8
- 61/8
Now, let's do the same for the second number.
- 7 18
- 7* 8+1/8
- 56+1/8
- 57/8
Next, we will compare these fractions. To compare fractions with a common denominator, observe the numerators. We can see that 61 is greater than 57. Recall that if one negative number is greater than other negative number, its value is smaller. Keeping this in mind, we can determine which symbol will make a true statement. - 61/8 < - 57/8 ⇔ - 7 58 < - 7 18 Let's draw it on a number line.