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Mahalo math expert Julie Clark shows you how to convert fractions into mixed numbers.
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What Are Fractions?
In mathematics, fractions are ratios. A fraction represents a proportional relationship between a part or parts and the whole. Some fractions can be accurately represented with a combination of whole numbers and decimals. Fractions can be added, subtracted, multiplied and divided.
When changing fractions into decimals and percentages, it is necessary to see fractions as division problems. The top number is divided by the bottom number.
Directions
Convert: 27/5
- How many times can the denominator go into the numerator? Five times (5 x 5 = 25). The whole number is five.
- Subtract 25 from 27 to find the numerator of the mixed number. The new numerator is two.
- Keep the denominator the same.
Answer: 5 2/5
The steps correlate with the numbers on the image below.
Check Your Work
References
Trash
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Introduction to Numbers 5:45
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Classification of Numbers 12:48
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An Introduction to Whole Numbers 0:00
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Whole Numbers and Place Value 0:00
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Prime and Composite Numbers 2:54
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Definition of Rational Numbers 2:49
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What is Expanded Form? 0:00
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Rewrite Numbers in Expanded Form with Exponen... 0:00
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The Mean, Median and Mode 4:23
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Word Problem: Identifying Integers (Level 1) 0:48
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Word Problem: Identifying Integers (Level 3) 1:00
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Quiz: Whole Numbers into Expanded Form 0:54
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Basic Mathematical Functions 20:54
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Fundamental Theorem of Arithmetic 4:09
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Single Digit Addition and Subtraction 2:28
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Double Digit Addition 0:00
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Double Digit Subtraction 0:00
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Basic Multiplication 2:18
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The Lattice Method of Multiplication 0:00
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Making Decimal Multiplication Easier 2:15
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How to Do Long Division 0:00
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Tests for Divisibility 7:30
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How to Calculate Your Gas Mileage 0:00
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Two Trains Word Problem 1:03
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Gold Coins Brain Teaser 1:11
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Quiz: Finding Interest 0:00
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Numbers and Factors 31:09
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Prime Factorization 7:03
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Factoring Whole Numbers 0:00
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How to Find a Common Denominator 5:25
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Greatest Common Factor (GCF) 4:56
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Lowest Common Multiple (LCM) 5:24
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Finding the GCF and LCM 3:13
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Alternative Methods for Solving GCF and LCM 1:46
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The GCF-LCM Product Theorem 3:22
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Quiz: Factoring Whole Numbers 0:00
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Mixed Numbers and Fractions 7:29
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Fractions as Parts of a Whole 0:00
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How to Notate Fractions 0:00
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How to Convert Mixed Numbers into Fractions 1:22
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How to Convert Fractions into Mixed Numbers 0:00
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How to Convert Fractions into Decimals 2:15
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How To Reduce Fractions 0:00
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How to Add Fractions 0:00
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How to Subtract Fractions 1:53
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How to Multiply Fractions 0:00
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How to Divide Fractions 0:00
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How to Add or Subtract Mixed Numbers 0:00
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How to Multiply Mixed Numbers 0:00
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How to Divide Mixed Numbers 0:00
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Word Problem: Fractions and Proportions 1:07
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Word Problem: Elmo the Painter 0:52
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Quiz: Mixed Numbers 0:00
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Decimals and Radicals 0:53
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An Introduction to Decimals 0:00
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Ordering Decimals 0:00
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How to Write a Decimal in Expanded Form 0:00
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How to Write Decimals in Scientific Notation 0:00
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How to Convert Percents to Decimals 0:00
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How to Divide Decimals 0:00
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How to Divide Decimals in the Dividend 0:00
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How to Add Radicals 0:00
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How to Simplify Radicals 0:00
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Quiz: Decimals into Expanded Form 0:53
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Quiz: Convert Fractions to Decimals 0:00
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Quiz: Convert Decimals to Fractions 0:00
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Percentages 17:21
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Mathematical Properties of Numbers 2:10
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Order of Operations 2:08
Meet Our Expert
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Julie Clark
Julie Clark is a high school math teacher with over seven years of classroom experience. Clark is also a motivational speaker with the "Making It Count" program, speaking at a number of schools across 11 states and reaching over 10,000 students. Julie says that her favorite thing about teaching math is "getting that light bulb to go off for the student that 'doesn't get' or 'hates' math."
