Basic Fraction Review Fractions are PARTS of a
Basic Fraction Review Fractions are PARTS of a WHOLE!! Intro Video
Vocabulary Equivalent fractions are fractions that name the same amount. 2 4 = 4 8
Creating Equivalent Fractions • Multiply the numerator and denominator by the same number. • Divide the numerator and denominator by the same number (it has to be a common factor to work with division) We can choose any number to multiply by. Let’s multiply by 2. 3 x 2 6 = 10 5 x 2 So, 3/5 is equivalent to 6/10.
If you have larger numbers, you can make equivalent fractions using division. Divide by a common factor. 28 ÷ 7 = 4 5 35 ÷ 7 In this example, we can divide both numbers by 7. 28/35 is equivalent to 4/5.
Fractions in Simplest Form Fractions are in simplest form when the numerator and denominator have a GCF of 1. Examples of fractions that are in simplest form: 4 5 2 11 3 8
Writing Fractions in Simplest Form. • Find the greatest common factor (GCF) of the numerator and denominator. • Divide both numbers by the GCF.
Example: 20 ÷ 4 = 28 ÷ 4 20 28 5 7 20: 1, 2, 4, 5, 10, 20 28: 1, 2, 4, 7, 14, 28 1 x 20 1 x 28 Common Factors: 1, 2, 4 2 x 10 2 x 14 GCF: 4 4 x 5 4 x 7 We will divide by 4. Simplest Form
Vocabulary A proper fraction has a numerator that is less than its denominator. An improper fraction has a numerator that is more than or equal to its denominator. A mixed number shows the sum of a whole number and a proper fraction.
Examples Proper Fractions 5 8 Improper Fractions 7 10 12 3 Mixed Numbers 8 3 5 3 17 20 9 9
Writing Mixed Numbers as Improper Fractions • Multiply the denominator of the fraction by the whole number. • Add the product to the numerator. • The resulting sum is the numerator of the improper fraction. • The denominator remains the same.
Example 4 2 3 14 3 Any whole number can be changed into an improper fraction:
Writing Improper Fractions as Mixed Numbers • Divide the denominator into the numerator. • The quotient becomes the whole number part of the mixed number. • The remainder is the numerator of the fraction. • The divisor is the denominator of the fraction.
Example 13 5 denominator 2 5 13 10 3 2 3 5 whole number numerator
Complete the inside practice problems.
- Slides: 17