Just as we may speak of a fraction of a whole or of a set of objects, we can also speak of a fraction of a number. Mathematicians have developed a number of methods that can be used to handle this kind of problem. The products in this procedure are often called the cross factors because the factors that are used form a sort of an X.

It is easy to see what the sum of two fractions that have the same denominator is in these models. In this method, we list out the factors of each number and then find the largest among the common factors.

This video shows how to find the greatest common factor of 16 and 20 by listing out the factors.

This video shows how to find the Greatest Common Factor between two numbers by using factor trees.

This video provides two examples of determining the greatest common factor by using prime factorization (factor tree). This is an alternate way to determine the greatest common factor (GCF) for a set of numbers using the upside down birthday cake method (repetitive division). In mathematics, the greatest common divisor (gcd), also known as the greatest common denominator, greatest common factor (gcf), or highest common factor (hcf), of two or more non-zero integers, is the largest positive integer that divides the numbers without a remainder. OVERVIEW The greatest common divisor is useful for reducing fractions to be in lowest terms.

USING PRIME FACTORIZATIONS Greatest common divisors can be calculated by determining the prime factorizations of the two numbers and comparing factors.

GREATEST COMMON FACTOR The Greatest Common Factor (GCF) is the largest number that is a common factor of two or more numbers. Today we will add and subtract simple fractions and mixed numbers and write them in simplest form.

Least Common Multiple (LCM) The least common multiple is the smallest number that is common between two lists of multiples.

Example 2: Find the LCM of 9 and 10 9, 18, 27, 36, 45, 54, 63, 72 10, 20, 30, 40, 50, 60, 70, 80 If you don’t see a common multiple, make each list go further. Greatest Common Factor (GCF) The greatest common factor is the largest factor that two numbers share. Multiplication X 1 1 x 1 = 1 2 x 1 = 2 3 x 1 = 3 4 x 1 = 4 5 x 1 = 5 6 x 1 = 6 7 x 1 = 7 8 x 1 = 8 9 x 1 = 9 10 x 1 = 10 11 x 1 = 11 12 x 1 = 12 X 2 1. EXAMPLE 1 Finding the Least Common Multiple A veterinarian at an animal clinic is on call every four days. Multiplication Facts Practice Each fact will flash for 3 seconds, and then the answer will appear. Adding & Subtracting Fractions Teacher Notes: Use this presentation to teach the steps for adding and subtracting fractions with unlike denominators.

2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt Easy Little Harder Medium. Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs! The greatest common factor is also called the greatest common divisor (GCD) or the Highest Common Factor (HCF).

In mathematics, the greatest common divisor (gcd), also known as the greatest common denominator, greatest common. How to find the greatest common factor: Determine if there is a common factor of the numbers. Lessons 1- Fractions and Division We can use place value to change a decimal to a fraction. The greatest common factor of two or more numbers is the greatest number that is a factor of every number. Factors of a Number A number may be made by multiplying two or more other numbers together. 1) List the multiples of both numbers 4 = 4, 8, 12, 16, 20… 12 = 12, 24, 36… LCM is 12 #10 This method is useful if both numbers are small. Fractions The top number is the numerator The bottom number is the denominator Example:2 numerator 5 denominator. The least common multiple (LCM) is the least common number that is a multiple of 2 numbers.

It is easy to see what the sum of two fractions that have the same denominator is in these models. In this method, we list out the factors of each number and then find the largest among the common factors.

This video shows how to find the greatest common factor of 16 and 20 by listing out the factors.

This video shows how to find the Greatest Common Factor between two numbers by using factor trees.

This video provides two examples of determining the greatest common factor by using prime factorization (factor tree). This is an alternate way to determine the greatest common factor (GCF) for a set of numbers using the upside down birthday cake method (repetitive division). In mathematics, the greatest common divisor (gcd), also known as the greatest common denominator, greatest common factor (gcf), or highest common factor (hcf), of two or more non-zero integers, is the largest positive integer that divides the numbers without a remainder. OVERVIEW The greatest common divisor is useful for reducing fractions to be in lowest terms.

USING PRIME FACTORIZATIONS Greatest common divisors can be calculated by determining the prime factorizations of the two numbers and comparing factors.

GREATEST COMMON FACTOR The Greatest Common Factor (GCF) is the largest number that is a common factor of two or more numbers. Today we will add and subtract simple fractions and mixed numbers and write them in simplest form.

Least Common Multiple (LCM) The least common multiple is the smallest number that is common between two lists of multiples.

Example 2: Find the LCM of 9 and 10 9, 18, 27, 36, 45, 54, 63, 72 10, 20, 30, 40, 50, 60, 70, 80 If you don’t see a common multiple, make each list go further. Greatest Common Factor (GCF) The greatest common factor is the largest factor that two numbers share. Multiplication X 1 1 x 1 = 1 2 x 1 = 2 3 x 1 = 3 4 x 1 = 4 5 x 1 = 5 6 x 1 = 6 7 x 1 = 7 8 x 1 = 8 9 x 1 = 9 10 x 1 = 10 11 x 1 = 11 12 x 1 = 12 X 2 1. EXAMPLE 1 Finding the Least Common Multiple A veterinarian at an animal clinic is on call every four days. Multiplication Facts Practice Each fact will flash for 3 seconds, and then the answer will appear. Adding & Subtracting Fractions Teacher Notes: Use this presentation to teach the steps for adding and subtracting fractions with unlike denominators.

2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt Easy Little Harder Medium. Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs! The greatest common factor is also called the greatest common divisor (GCD) or the Highest Common Factor (HCF).

In mathematics, the greatest common divisor (gcd), also known as the greatest common denominator, greatest common. How to find the greatest common factor: Determine if there is a common factor of the numbers. Lessons 1- Fractions and Division We can use place value to change a decimal to a fraction. The greatest common factor of two or more numbers is the greatest number that is a factor of every number. Factors of a Number A number may be made by multiplying two or more other numbers together. 1) List the multiples of both numbers 4 = 4, 8, 12, 16, 20… 12 = 12, 24, 36… LCM is 12 #10 This method is useful if both numbers are small. Fractions The top number is the numerator The bottom number is the denominator Example:2 numerator 5 denominator. The least common multiple (LCM) is the least common number that is a multiple of 2 numbers.

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