Comparing and Ordering Fractions

Slides:

Advertisements

Similar presentations

Lesson 4-4 Example Example 1 1.Change each decimal to a fraction. Order, 0.5,, and –0.8 from least to greatest. Graph the numbers on a number line.

Advertisements

To compare fractions you can draw a picture or use the “Butterfly” method.

10-5 Addition and Subtraction: Unlike Denominators  Standard 13.0: Add and subtract rational expressions.

Fraction Notes.

EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions.

EXAMPLE 1 Comparing Fractions Using the LCD SOLUTION Find the least common denominator of the fractions. The LCM of 8 and 12 is 24, so the least common.

COMPARING FRACTIONS Vocabulary  Mixed Fraction: Whole number mixed with a fraction (ex. 2 ½)  Improper Fraction: has a numerator greater than.

By: Sid, Lucas, Anshula, and Ava

Fraction Vocabulary.

Fractions and Decimals

Comparing and Ordering Fractions

Which is greater, or ? Comparing and Ordering Rational Numbers COURSE 3 LESSON Rewrite each fraction with the denominator 9 11 = 99. Multiply.

EXAMPLE 1 Comparing Fractions Using the LCD

Comparing Fractions By: Ms. J. Godfrey. Comparing Fractions  When you compare fractions, you use symbols. > greater than < less than = equal to.

We need a common denominator to add these fractions.

Comparing Fractions with the same Denominators

a. The LCM of 4 and 5 is 20, so the LCD is 20.

Lesson 8-2: Adding and Subtracting Rational Expressions.

Adding and Subtracting Unlike Fractions Lesson 4-3.

Adding and Subtracting Fractions With different denominators.

3.1-Addition and Subtraction with Fractions Catherine Conway Math 081 Catherine Conway Math 081.

PRE-ALGEBRA. Lesson 5-1 Warm-Up PRE-ALGEBRA “Comparing and Ordering Rational Numbers” (5-1) What is the a “multiple”? What is the the “least common multiple”

4-2 Equivalent Fractions Page 147. Vocabulary Words A Multiple- of a number is the product of the number and a nonzero whole number. Example: List the.

Finding Equivalent Fractions. Equivalent Fractions What is the numerator? The number above the fraction bar. It refers to the amount of equal parts that.

Lesson 3-6 Example Example 2 1.Write the prime factorization of each denominator. 10=2 5 6=2 3.

4.4 – Adding and Subtracting Like Fractions Adding and Subtracting 1. The denominators can not equal zero ( fraction would be undefined). 2. Denominators.

Compare Fractions SWBAT compare fractions with like denominators and fractions with unlike denominators.

Comparing and Ordering Fractions. Vocabulary Like Fractions – Unlike Fractions – Common Denominator – When fractions have the same denominator When fractions.

2.1 Ordering Rational Numbers from Least to Greatest.

Confidential1 COMPARING AND ORDERING FRACTIONS. confidential2 revision Replace each * with a number so that the fractions are equivalent. 1 = *-5 3 =

How can you find the greatest common factor of two numbers?

Lesson 3 Comparing Fractions. Rule for Comparing Two Fractions To compare two fractions, both fractions must have the same denominator. (The same denominator.

Math – Least Common Multiple 1. The __________________________ of two numbers is the ___________ number that is a __________ of both the original.

Lesson 2-4 Example Find the LCM of 5, 9, and 15. Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, … Multiples of 9: 9, 18, 27, 36, 45, 54,

JEOPARDY Fractions Vocab 1 Simplify 2 Equiv 3 Compare 4 “G’ to “L” 5 “L” to “G”

1 Agriculture Crop rotation is a system in which farmers vary the crops they plant in their fields each year. Suppose a farmer grows alfalfa in a certain.

3-5 to 3-6 What You’ll Learn To write equivalent fractions To write equivalent fractions To simplify fractions To simplify fractions To compare and order.

Comparing Fractions In order to compare fractions, the denominators for each fraction need to be the same. Find the Least Common Multiple Make equivalent.

Comparing and Ordering Fractions. Strategy Make sure the denominators are the same. Compare the numerators. If the denominators are not the same, then.

Tuesday: January 24, 2012 Warm-Up

Comparing and Ordering Fractions

Adding and Subtracting Unlike Fractions

Adding and Subtracting Unlike Fractions

Comparing and Ordering Fractions

Comparing and Ordering Fractions

Adding and Subtracting Fractions

4.4 LESSON Least Common Multiple

Comparing & Ordering Fractions.

Bellringer List the following in order from least to greatest:⅔, ⁶⁄₁₆, ⅗, ⁶⁄₂₀, and ⁵⁄₁₇. Convert .27 to a fraction. What is the rule for converting a.

Comparing & Ordering Fractions.

Prime Factorization: The prime factorization of a number is the product of all of the prime numbers that equals the number.

Adding and Subtracting Fractions

Comparing & Ordering Fractions.

Comparing Fractions.

Fractions Jeopardy! 2 9 Simplify LCD 6 18 Factor GCF 1 2

Comparing & Ordering Fractions.

Comparing & Ordering Fractions.

Subtracting Like and Unlike Fractions

Comparing & Ordering Fractions.

Comparing and Ordering Rational Numbers

Subtracting Like and Unlike Fractions

Ordering fractions.

Adding and Subtracting Fractions

Comparing & Ordering Fractions.

& dding ubtracting ractions.

Comparing & Ordering Fractions.

Adding and Subtracting Fractions

Presentation transcript:

Comparing and Ordering Fractions Lesson 3.04

Comparing and Ordering Fractions In the Real World Kayaking Julie and Seth are kayaking down a river. Julie kayaks a distance of mile and Seth kayaks mile. Who kayaked the greater distance? — 7 10 3 4

Comparing and Ordering Fractions In the Real World Kayaking Julie and Seth are kayaking down a river. Julie kayaks a distance of mile and Seth kayaks mile. Who kayaked the greater distance? — 7 10 3 4 You can compare fractions by using the least common denominator. The least common denominator (LCD) of two or more fractions is the least common multiple of the denominators.

Comparing Two or More Fractions Comparing and Ordering Fractions NOTE BOOK Comparing Two or More Fractions Find the LCD of the fractions. Use the LCD to write equivalent fractions. Compare the numerators.

1 Comparing and Ordering Fractions × 2 × 5 EXAMPLE 1 Comparing Fractions Using the LCD To find who kayaked a greater distance, as described above, you need to compare and . — 7 10 3 4 1 Find the LCD of the fractions. Because the LCM of 10 and 4 is 20, the LCD is 20. 2 Use the LCD, 20, to write equivalent fractions. Julie: — 7 10 = × 2 = 14 20 Seth: — 3 4 = × 5 = 15 20 14 20 15 < , 7 10 3 4 so < . 3 Compare the numerators: ANSWER Seth kayaked the greater distance.

2 Comparing and Ordering Fractions × 8 × 3 × 4 × 6 EXAMPLE 2 Ordering Fractions Using the LCD Order the fractions , , , and from least to greatest. — 2 3 8 1 6 4 1 Find the LCD of the fractions. Because the LCM of 3, 8, 6 and 4 is 24, the LCD is 24. 2 Use the LCD to write equivalent fractions. — 2 3 = × 8 = — 16 24 — 3 8 = × 3 = — 9 24 — 1 6 = × 4 = — 4 24 — 3 4 = × 6 = — 18 24 Compare the numerators: < < < , — 16 24 9 18 4 — 2 3 8 4 1 6 so < < < . 3 From least to greatest, the fractions are , , , . — 2 3 8 4 1 6 ANSWER

3 Comparing and Ordering Fractions EXAMPLE 3 Comparing Fractions Using Approximation Use approximation to tell which fraction is greater, or . — 13 24 15 34 Notice that and are both approximately equal to — 13 24 1 2 15 34 because the numerator of each fraction is about half the denominator. Because = , — 12 24 1 2 — 13 24 1 2 you know that > . — 15 34 1 2 you know that < . Because = , — 17 34 1 2 — 15 34 13 24 So, > . ANSWER