Fractions webinar
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This document provides an overview of fractions including: - The key components of a fraction are the numerator and denominator - Examples are given of fractions with different numerators over the same denominator - Methods for simplifying, multiplying, dividing, adding, and subtracting fractions are described - Mixed numbers, which are numbers represented by a whole number and fraction, are also introduced - Contact information is provided for math specialists available to answer additional questions
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This document discusses fractions, including simplifying fractions, changing between improper fractions and mixed numbers, and comparing fractions. It reviews equivalent fractions which are found by multiplying or dividing the numerator and denominator by the same number other than zero. Examples are provided of simplifying fractions, converting between improper fractions and mixed numbers, and comparing fractions. The document encourages understanding and continuing to study fractions.
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1) This document discusses adding and subtracting fractions, including: finding equivalent fractions, converting between improper fractions and mixed numbers, finding common denominators, and performing addition and subtraction of fractions.
2) Key steps for adding fractions include finding a common denominator and then adding the numerators. For subtraction, the steps are the same but taking away the second numerator from the first.
3) Mixed numbers must first be converted to improper fractions before adding or subtracting to maintain the same denominator.
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To add or subtract fractions with different denominators:
1) Find the least common denominator, which is the smallest number that is a multiple of both denominators.
2) Convert the fractions to equivalent fractions with the common denominator.
3) Either add or subtract the numerators, while keeping the common denominator.
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To add or subtract fractions with different denominators, one must find the least common denominator and convert the fractions so they have the same denominator. The document demonstrates converting 1/2 to 2/4 to add it to 3/4, finding the common denominator of 4. It also shows converting 3/5 to 6/10 to subtract it from 7/10, with the common denominator being 10.
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- Explaining how to perform addition and subtraction of fractions by finding a common denominator or converting to equivalent fractions with the same denominator.
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3) The key to finding equivalent fractions is to divide both the numerator and denominator by a common factor to simplify the fraction into equivalent lower terms.
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Fractions webinar
- 3. Fractions Did you know that 5 out of every 4 students have trouble with fractions?!?!? Wait…..does that make sense?? Sometimes fractions can be confusing, let’s look at how to work with fractions. Fractions
- 5. Numerator Denominator Four equal parts, so the denominator is four. We only have one unit of these equal parts, so the numerator is one. Fractions
- 6. Numerator Denominator Four equal parts, so the denominator is four. We only have two units of these equal parts, so the numerator is two. Fractions
- 7. Numerator Denominator Four equal parts, so the denominator is four. We only have three units of these equal parts, so the numerator is three. Fractions
- 8. Numerator Denominator Four equal parts, so the denominator is four. We have fours units of these equal parts, so the numerator is four. Fractions
- 10. Simplifying Fractions Factor the numerator Factor the denominator See if anything cancels to one Simplify 1015 Simplify 8𝑥20𝑥 Simplify 280960 Simplify −1824 Fractions
- 11. Multiplying Fractions Multiply straight across Simplify 34∙89 3𝑥10∙215𝑥 Fractions
- 12. Dividing Fractions Change the problem to multiplication using the reciprocal Multiply straight across The reciprocal of a number is found by switching the numerator and denominator of the number Find the reciprocal of the following numbers: 1.) 12 2.) 56 3.) 7 Fractions
- 13. Dividing Fractions To divide by a fraction, we multiple by its reciprocal. Fractions
- 14. Adding or Subtracting Fractions If the denominators of the two fractions are the SAME, add or subtract the numerators and keep the same denominator. 57 −37 Fractions
- 15. Adding or Subtracting Fractions If the denominators of the two fractions are DIFFERENT, we need to find the least common multiple (LCM) of the two denominators. This is called the least common denominator (LCD). Find the LCM of Fractions
- 16. Adding or Subtracting Fractions Now add the following fractions. Subtract: 45 −13 Fractions
- 18. Subtracting with Mixed Numbers 527−312 Fractions
- 19. Subtracting with Mixed Numbers 223−615 Fractions
- 20. Question and Answer If you have any additional questions on solving an equation or on any other math concept following the webinar, please feel free to contact any of the math specialists in the Success Center for assistance. Lisa Johnson Ext 1411 or lisa.johnson@columbiasouthern.edu Stephen Barnett Ext 1428 or stephen.barnett@columbiasouthern.edu Jonathan Byrd Ext 1215 or jonathan.byrd@columbiasouthern.edu Clarice Ferolito Ext 1496 or clarice.ferolito@columbiasouthern.edu Echelon Method
- 21. Practice