Math Practice 101
Homework Explained - Math Practice 101

Dear guest, you are not a registered member. As a guest, you only have read-only access to our books, tests and other practice materials.

As a registered member you can:

Registration is free and doesn't require any type of payment information. Click here to Register.
Go to page:  

Grade 6 McGraw Hill Glencoe - Answer Keys
Chapter 2: Fractions, Decimals, and Percents;Lesson 5:Compare and Order Fractions, Decimas and Percents


Please share this page with your friends on FaceBook

Compare and Order Fractions

To compare fractions, you can follow these steps.

1. Find the least common denominator (LCD) of the fractions. That is, find the least common multiple of the denominators.

2. Write an equivalent fraction for each fraction using the LCD.

3. Compare the numerators.

Example                                                                                                            

Fill in each with <, >, or =to make a true statement.

1. \(\frac{5}{8}\)   \(\frac{7}{12}\)

The LCM of the denominators, 8 and 12, is 24. So, the LCD is 24.                               

Write an equivalent fraction with a denominator of 24 for each fraction.

\(\frac{15}{24}>\frac{14}{24}\), since \(15>14\). So, \(\frac{5}{8}>\frac{7}{12}\)

 

Got It? Do these problems to find out.

  • Question 1 (request help)

    a.

  • \(\large \frac{2}{3}\)   \(\large \frac{4}{9}\)
  • Question 1 (request help)

    b.
  • \(\large \frac{5}{12}\)   \(\large \frac{7}{8}\)
  • Question 1 (request help)

    c.
  • \(\large \frac{1}{6}\)   \(\large \frac{5}{18}\)

Example

2. Order the fractions \(\frac{1}{2},\frac{9}{14},\frac{3}{4},\text{ and } \frac{5}{7}\) from least to greatest.

Rewrite each fraction using the LCD of 28.

Since \(\frac{14}{28}<\frac{18}{28}<\frac{20}{28}<\frac{21}{28}\), the order of the original fractions from least to greatest is \(\frac{1}{2},\frac{9}{14},\frac{5}{7},\text{ and } \frac{3}{4}\).

 

Got It? Do this problem to find out.

  • Question 2 (request help)

    d. Order \(\frac{1}{2},\frac{5}{6},\frac{2}{3},\text{ and } \frac{3}{5}\) from least to greatest.
  • Type below:

Yes, email page to my online tutor. (if you didn't add a tutor yet, you can add one here)