Fraction Rules Review Yes, you need to write it all down, including the examples. You will be graded on your notes.

Slides:



Advertisements
Similar presentations
With “like” denominators: 1)add/subtract across the top. 2)Leave the bottom alone. Ex: =
Advertisements

ADDING AND SUBTRACTING FRACTIONS
FRACTION REVIEW.
Test Review The test will be on the following: Improper to Mixed
Mixed Numbers Mixed numbers are whole numbers and fractions together.
Fractions.  The Numerator is the number on top  The Denominator is the number on bottom  The Factors of a number are those numbers that will divide.
Converting Mixed and Improper Fractions
2.7 Adding and Subtracting Mixed Numbers 1 Adding Mixed Numbers Procedure: Adding Mixed Numbers 1. Rewrite the problem vertically aligning the whole numbers.
Adding and subtracting fractions and mixed numbers
Adding, Subtracting, Multiplying, and Dividing Fractions 3-5, 3-6, 3-7
Pre-Algebra Bell Ringer 1. 10x – 5y = 2 Solve for y 2. m – n – 12 = p Solve for n 3. a – 4 < 3a x + 8 ≥ -22 – 7x.
Adding and Subtracting Fractions and Mixed Numbers.
35 Adding Fractions Add Estimate the sum x = = Find the least common denominator ~...(find the LCM of 8 and 5).. ~ 8:
Adding and Subtracting Rational Expressions
35 Adding Fractions Add Estimate the sum x = = Find the least common denominator ~...(find the LCM of 8 and 5).. ~ 8:
Chapter 3. Fractions Numerator (top number / part) Denominator (bottom number / whole) Whole Number (1, 2, 3) Fraction (1/2, 2/3, ¾) Mixed Number (1 ½,
Operations with Fractions. Adding and Subtracting Fractions.
Fraction Operations Review Kerbacher. Simplifying Fractions To simplify a fraction: Find the largest number divides evenly into the numerator and denominator.
Basic Math Review Ms. Ryan Medical Math MCATC
Fractions A quick help for those who have forgotten how to work with them.
FRACTIONS & DECIMALS How to add, subtract, multiply, & divide fractions and decimals.
I will be able to add and subtract fractions. Adding and Subtracting Fractions Learning Target.
By; Emma Maynard  The numerator is top # in a fraction. Example: 2/4 Numerator.
Fractions Re-cap2 Mathematics. Which is bigger or ? To compare two fractions convert them to fractions with the same denominator. First we need.
Review of Fractions. Important Notes Leave all answers in “simplest form” No common factors in the numerator and denominator Use proper or improper fractions.
Copyright©amberpasillas2010. Parts of a Fraction 3 4 = the number of parts = the total number of parts that equal a whole copyright©amberpasillas2010.
ADDING FRACTIONS. Adding Fractions How to do…… 1.You have to get the bottoms (denominators) the same 2.To get the bottoms the same you find the biggest.
Fabulous Fractions Add and Subtract Mixed Numbers.
Mixed Number to Improper - Multiply, Add, Put over Denominator (MAD - Makes a circle) 4 ½ 9292 Improper to Mixed Number - Divide Numerator by denominator.
Warm Up Simplify:. Adding and Subtracting with Unlike Denominators.
Operations with Fractions
Adding & Subtracting Fractions With Like Denominators.
FRACTIONS Fraction: a numerical quantity that is not a whole number Numerator: the number above the line in a common fraction showing how many of the parts.
Rational Numbers Essential Question: What do we need to do before we can add or subtract fractions? Unit 2 Day 4.
Rational Numbers Essential Question: What do we need to do before we can add or subtract fractions? Unit 2 day 8.
Operations with Fractions. Parts of a Fraction Integer Numerator Denominator Mixed Number.
Step 1: Find a common denominator Scale up fractions in order for them to be out of the same number of parts. You need to find the least common multiple.
Chapter 3 Fractions.
Operations on Rational algebraic expression
Adding Mixed Numbers With Unlike Denominators
ADDING AND SUBTRACTING FRACTIONS
FRACTIONS - A smaller part of a whole number.
ADDING AND SUBTRACTING FRACTIONS
Chapter 4 - Fractions FRACTIONS
Adding Mixed Numbers With Unlike Denominators
8.5 Add and Subtract Rational Expressions
Fraction XI Adding Mixed Numbers With Unlike Denominators
Fraction X Adding Unlike Denominators
Fractions Adding Unlike Denominators
Fraction X Adding Unlike Denominators
Fraction X Adding Unlike Denominators
Fractions Write a Decimal as a Fraction
Fraction X Adding Mixed Numbers With Unlike Denominators
Fraction XI Adding Mixed Numbers With Unlike Denominators
Adding and Subtracting Fractions
Adding & Subtracting Fractions
Fraction IX Adding Unlike Denominators
Section 1.3 Fractions.
Lesson 4.1 How do you write the prime factorization of numbers?
Fraction XI Adding Mixed Numbers With Unlike Denominators
Fractions Adding Unlike Denominators
Fraction X Adding Unlike Denominators
Fraction XI Adding Mixed Numbers With Unlike Denominators
Fraction XI Adding Mixed Numbers With Unlike Denominators
Fraction X Adding Unlike Denominators
Fraction XI Adding Mixed Numbers With Unlike Denominators
Fraction X Adding Unlike Denominators
Fraction XI Adding Mixed Numbers With Unlike Denominators
Examples: 3/5 + 4/5 = 2/3 + 5/8 = 1 2/3 + 2 ¾ = 5/7 – 1/3 = 4 7/8 – 2 ¾ = 5 1/3 – 2 5/6 = 4 x 6/7 = 2/3 x 9/16 = 1 2/3 x 3 4/5 = 4/5 ÷ 6/7 =
Fraction X Adding Unlike Denominators
Presentation transcript:

Fraction Rules Review Yes, you need to write it all down, including the examples. You will be graded on your notes.

Why not just use decimals??? Because you are doing Algebra. Converting every fraction to decimals makes working with variables REALLY, REALLY difficult…. Especially when you start working with exponents (powers)…. Or multiple variables…. So learn to love fractions!

Adding Fractions 1. Check for a common denominator (the bottom #). If the denominators are the same, just add the top numbers across. 1/6+4/6=5/6

2. If the denominators are different, find the least common denominator (LCD).

Least Common Denominator a. First find the Least Common Multiple of the two denominators. 1/6+3/4 LCM of 6 and 4 is 12, so the LCD of 1/6 and ¼ is 12

b. Then multiply BOTH the top AND the bottom numbers of the fraction (the numerator and the denominator) by whatever number is needed to make the denominator the LCD 1/6 * 2/2=2/12 ¾*3/3=9/12

Finally, you can… 3. Add the top numbers (the numerators) across; leave the bottom numbers alone. 2/12+9/12=11/12 4. Simplify if possible.

Subtracting Fractions Follow the same process as adding fractions. Remember that once the denominators are the same, you only need to subtract the top numbers (the numerators).

Multiplying Fractions 1. Line them up next to each other. 2. Multiply top AND bottom (numerator and denominator) straight across. 1/6*3/4=3/24 3. Simplify. 3/24=1/8

***Simplify Before Multiplying A good idea; it saves time. Look for common factors to reduce by. 1/6*3/4 The six and the three have 3 as common factor, so you can reduce them: ½*1/4=1/8  same answer as before!

Dividing Fractions 1. Reverse the second fraction (the divisor) top-to-bottom (use the reciprocal), and reverse the operation (multiply instead of divide). 1/6 ¾ = * 4/3

2. Remember to simplify wherever you can before multiplying. Reduce first: 1/3*2/3 Then multiply: 1/3*2/3=2/9

Whole & Mixed Numbers

Adding Whole/Mixed Numbers 1. Check for LCD. If they already have a common denominator, you can add the whole numbers together and add the fractions together. Remember to convert improper fractions into whole or mixed numbers before you stop. 2 2/3 +3 2/3= 2+3= 5, and 2/3 + 2/3=4/3 Add the results: 5+4/3= 6 1/3

2. If there is no LCD, convert BOTH numbers into improper fractions: 2 2/ /5 Multiply the denominator times the whole number; add the result to the top (numerator). 2 2/3: 2*3 +2=8, so 2 2/3=8/3 1 4/5: 5*1 +4=9, so 1 4/5=9/5

3. Find the LCD of the improper fractions. 8/3 and 9/5  LCD of 3, 5=15 4. Convert each fraction into an equivalent fraction, using the LCD. 8/3*5/5=40/15 9/5*3/3=27/15

5. Add the top numbers (the numerators) only. 40/15+27/15=67/15 6. Simplify the result. 67 divided by 15=4 7/15

Subtracting Whole/Mixed #’s Follow the same process as for adding them. IF there is a common denominator already, you may need to “borrow” from the whole numbers first. Sometimes, it’s easier to just use improper fractions anyway!

“borrowing” to subtract mixed numbers 10 1/6-2 3/6 The first fraction is smaller than the second, so you need to “borrow” from 10 (the whole number): 9 7/6-2 3/6 now you can subtract: 9-2=7 and 7/6-3/6=4/6 7+4/6=7 4/6 Simplify: 7 2/3

Multiplying Whole/Mixed #’s ***Remember that a whole # can be written as a fraction by writing itself over 1 (because any number divided by itself is still…itself.) 2=2/1 27=27/1 234=234/1

1. Convert both #’s to fractions. 3 1/3*4= 10/3*4/1 2. Multiply the top and bottom (numerator and denominator) straight across. 10/3*4/1=40/3

3. Simplify. 40/3=13 1/3 4. THINK. If you estimate, will you be close to the same answer? 3*4=12…which is close to 13 1/3

Dividing Whole/Mixed #’s 9 1/3 2/6 becomes28/3 2/6 Use the reciprocal: 28/3*6/2 Simplify first: 14/1*2/1= 28/1 =28 Follow all the same steps as for multiplying, but reverse the second fraction (use the reciprocal) and the operation (multiply).