Fractions✌🏽 cloned 1/25/2023

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JOD: Why did ⅕ go to the masseuse?

Lesson: Simplifying Fractions 

Objective: Today, we will be able to simplify fractions, make equivalent fractions, and convert improper fractions to mixed numbers (and back).

CW:  "GCF/LCM" w/s
HW:  "Simplifying Fractions" w/s (Color-by-Fraction)

SIMPLIFY FRACTIONS with your friend, GCF!

Watch: FLOCABULARY - GCF & LCM

GCF stands for greatest common factor, and it's useful when simplifying fractions. Common factors are whole numbers that divide evenly into both of the numbers in question, and the greatest common factor is the largest of those whole numbers.

20 ⁄ 28 is the sort of answer you might get after adding or multiplying fractions, but you may need to simplify your answer as a final step. Use the GCF to reduce 
20 ⁄ 28 to its simplest form: 5 ⁄ 7.

Multiples are like the opposite of factors: they are the bigger numbers that a smaller number can go into evenly. We get multiples when we multiply a number by another whole number. Don't forget that any number is always a multiple of itself since it equals itself when multiplied by one.

Two numbers will share a lot of multiples, but the Least Common Multiple, or smallest multiple that two numbers have in common, is what we're after. The LCM comes in handy when adding and subtracting fractions, since you have to make the denominator the same for those operations.

EQUIVALENT FRACTIONS 

Equivalent fractions are two or more fractions that have the same value even though they look different. It may help to think of equivalent fractions as pieces of a pie. If your pie has 8 slices and you share them equally with a friend, you each get 4 slices, or 4/8 of the pie. Looking at the pie in another way, you each get 1/2 of the pie. 4/8 and 1/2 are equivalent fractions; they mean the same thing.

Watch: FLOCAB - Equivalent Fractions

Worksheet: Equivalent Fractions (Do Now: odd problems)

IMPROPER FRACTIONS & MIXED NUMBERS

An improper fraction is a fraction whose numerator, or top number, is greater than or equal to its denominator, or bottom number. Improper fractions represent a number that is greater than or equal to 1. For example, 3/3​​ is an improper fraction because it is equal to 1.  4/3 and 5/3​ are also improper fractions. 1/3 and 2/3 are not improper because they are less than 1. 

A mixed number is made of a whole number plus a fraction. 3 ½, 99 ⅘ and 8 ⅖ are all examples of mixed numbers. Like improper fractions, mixed numbers represent a number that is greater than 1. The value of a mixed number is somewhere between the whole number it contains and the next whole number. For example, 3 ½ has a value between 3 and 4.

Watch: FLOCAB - Mixed Numbers & Improper Fractions

Worksheet: Mixed Numbers & Improper Fractions (Do Now: even problems)