Fractions in the Simplest Form: Problems and Answers
If your child is having trouble simplifying fractions  or remembering to simplify fractions  you've come to the right place. Below you can find tips to help your child learn how to simplify fractions, along with sample problems and answers.
How to Simplify Fractions
Your child can simplify a fraction when the numerator (the number on top) and the denominator (the number on the bottom) have a common factor. To figure this out, have you child find the factors of each number. For example, the fraction 6/10 can be rewritten like this: (2 x 3) / (2 x 5). This is known as prime factorization, which is finding the prime numbers that multiply to make the number. Because there is a common factor of 2 in both the numerator and the denominator, you can cancel both out. As a result, the simplified fraction is 3/5.
Often, teachers will want your child to answer a problem with the simplest fraction possible. Remind your child that the trickiest part of simplification is remembering to do it. He might get through a complex problem and want to move on; however, it is important that he checks over his work before turning it in because that final step of simplifying the fractions can be so easy to forget.
Problems and Answers
Ask your child to simplify these fractions on her own first, and then check her answers with the ones provided below. There are also explanations provided.
1. 9/33
 The answer is 3/11. The prime factorization of this fraction is (3 x 3) / (3 x 11). After canceling the common factor (3), the final, simplified answer is 3/11.
2. 8/24
 The fraction can be rewritten like this: (2 x 2 x 2) / (2 x 2 x 2 x 3). Cross out three 2s from the numerator and the denominator because they cancel each other out. The simplified form is 1/3.
3. 7/20
 This problem cannot be simplified more. The numerator (7) cannot be factored further, so it is already in its simplest form.
4. 99/300
 This fraction is more complicated because the numbers are larger. It can be reduced to this: (3 x 3 x 11) / (3 x 5 x 2 x 2 x 5). Only one 3 can be canceled out from both the numerator and the denominator. Multiply the remaining prime factors to find the simplest form, so the answer is 33/100.
5. 5 4/12
 To simplify a mixed number, follow the same steps. Simplify 4/12, which is 1/3. The final, simplified answer is 5 1/3.
6. Peter runs for 25 minutes on Mondays and Wednesdays. How much of an hour does he run each week?
 Because Peter runs for 25 minutes twice a week, he runs for 50 minutes total in one week. Using this information, you can make the fraction 50/60, which is simplified to 5/6.
Other Articles You May Be Interested In

While choosing to take your child to a tutoring center is a large step toward improving his or her academic performance, you must be sure to select the best tutoring center for your child to experience the most positive results. This article suggests some things to consider before choosing a tutor.

At this time of the year, with the shorter days and colder weather, studying can be more of a challenge. Whether your child is grappling with seasonal affective disorder or is just hitting a wall in the middle of the school year, there are ways to help. This list includes suggestions for maintaining focus, improving moods and...
We Found 7 Tutors You Might Be Interested In
Huntington Learning
 What Huntington Learning offers:
 Online and incenter tutoring
 One on one tutoring
 Every Huntington tutor is certified and trained extensively on the most effective teaching methods
K12
 What K12 offers:
 Online tutoring
 Has a strong and effective partnership with public and private schools
 AdvancEDaccredited corporation meeting the highest standards of educational management
Kaplan Kids
 What Kaplan Kids offers:
 Online tutoring
 Customized learning plans
 RealTime Progress Reports track your child's progress
Kumon
 What Kumon offers:
 Incenter tutoring
 Individualized programs for your child
 Helps your child develop the skills and study habits needed to improve their academic performance
Sylvan Learning
 What Sylvan Learning offers:
 Online and incenter tutoring
 Sylvan tutors are certified teachers who provide personalized instruction
 Regular assessment and progress reports
Tutor Doctor
 What Tutor Doctor offers:
 InHome tutoring
 One on one attention by the tutor
 Develops personlized programs by working with your child's existing homework
TutorVista
 What TutorVista offers:
 Online tutoring
 Student works oneonone with a professional tutor
 Using the virtual whiteboard workspace to share problems, solutions and explanations