Help with Mixed Fractions: Division and Measurements
Dividing with mixed fractions is an advanced fraction skill that you'll learn near the end of elementary school. Keep reading for mixed fraction help!
Mixed Fractions
A mixed fraction combines a whole number, like one, three or eight, with a fraction, like 1/2, 2/3 or 7/8. You might use a fraction to show that your family drank 2 1/2 (two and one half) gallons of milk this week, or you ran 1 3/4 (one and threequarters) of a mile.
Measurement
Mixed fractions are commonly used for measurements that contain a number of whole units, as well as a fractional unit. For instance, you might measure a piece of paper that's between five and six inches long. On a ruler, the space between five and six inches will be divided into fractions: 1/8, 1/4, 3/8, 1/2 and so on. You'll express the paper's length as the lower whole number (five) and the nearest fraction, such as 5 3/8 or 5 3/4.
Division
Improper Fractions
Dividing mixed fractions is only possible if you turn the mixed fraction into an improper fraction. This is simply a fraction with a numerator that's larger than the denominator. To make this conversion, follow these steps:
 1. Multiply the mixed fraction's denominator by the whole number. For instance, if the mixed fraction is 4 3/7, multiply 7 x 4.
 2. Add that product to the mixed fraction's numerator. The result becomes the numerator of the answer. For example, 7 x 4 = 28, and 28 + 3 = 31, so 31 is the answer's numerator.
 3. Write the new numerator over the denominator from the mixed fraction. For example, 4 3/7 = 31/7.
Multiplying Reciprocals
Now that you can change mixed fractions into improper fractions, the next step is to divide them. Dividing any fraction, including an improper fraction, involves multiplying one fraction by the reciprocal of the other one. To get the reciprocal, just reverse the numerator and the denominator. For instance, 3/4 becomes 4/3.
To solve your division problem, convert the mixed fraction to an improper fraction first. For instance, 4 1/2 becomes 9/2. Then, if you're dividing by a fraction, like 1/3, find its reciprocal (3/1). Last, you'll just multiply those two fractions together to get 27/2. Here's the stepbystep process:
4 1/2 ÷ 1/3
= 9/2 ÷ 1/3
= 9/2 x 3/1
= 27/2
Other Articles You May Be Interested In

Mastering measurements can be a daunting task for students in grade four. But helping them learn can be as fun and easy as baking a cake!

Measurement is a math skill that most fifth graders are required to master. In this country, this process can be especially complex because most kids must learn two distinct systems. Read on to find out how to help your child master metric and U.S. measurements.
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