Algebra Help. This section is a collection of lessons, calculators, and worksheets created to assist students and teachers of algebra. Here are a few of the ways you can learn here Mar 02, · Homeimprovementhouse: 6th Grade Social Studies Worksheets. 6th Grade Reading Comprehension Worksheets. 6th Grade Language Arts Worksheets. 6th Grade Grammar Worksheets. 4th Grade Language Arts Worksheets. free calculus tutor more cool math games google spreadsheet functions simple addition facts grade 8 pythagorean theorem worksheets christmas puzzles to print A fraction is reduced to lowest terms, or simplified, when its numerator and denominator have no common factors. It's easier to multiply, divide, add and subtract fractions when they're simplified. To simplify a fraction, we find an equivalent fraction where the
Simplifying Polynomials - Algebra II
Last Updated: February 22, To create this article, 27 people, some anonymous, worked to edit and improve it over time. This article homework help reducing fractions been viewedtimes. Learn more Math is hard. It's easy to forget even core concepts when you are trying to remember dozens of different principles and methods. Here's your refresher on two methods to reduce fractions. To homework help reducing fractions fractions, start by listing the factors of the numerator and denominator, homework help reducing fractions, which are numbers that multiply together to make another number.
For example, the factors of 12 would be: 1, 2, 3, 4, 6, and Then, find the greatest common factor between the numerator or denominator, which is the largest number that's in both lists of factors. Once you've found the greatest common factor, just divide the numerator and denominator by that number to reduce the fraction to its lowest terms! If you want to learn how to reduce fractions using prime factor trees, keep reading!
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Author Info Last Updated: February 22, Method 1 of List the factors of the numerator and denominator. Factors are numbers that you multiply together to get another number. For example, 3 and 4 are both factors of 12, homework help reducing fractions, because you can multiply them together to get To list the factors of a number, you simply have to list all of the numbers that can be multiplied to get that number, homework help reducing fractions, and which therefore can be evenly divided into that number.
Find the greatest common factor GCF of the numerator and denominator. The GCF is the highest number that divides evenly into two or more numbers. Once you've listed all of the factors of that number, all you have to do is find the largest number that is repeated in both lists. The GCF of 24 and 32 is 8, because 8 is the largest number that evenly divides into both 24 and Divide the numerator and denominator by the GCF.
Now that you've found your GCF, all you have to do is to divide the numerator and denominator by that number to reduce your fraction to its lowest terms. Check your work. If you'd like to make sure that you've simplified the fraction correctly, homework help reducing fractions, you can simply multiply the new numerator and new denominator by the GCF to make sure that you can return to the original fraction.
You can also examine the fraction to make sure that it cannot be reduced any more. Since 3 is a prime number, it can only be divisible by 1 and itself, and four is not divisible by 3, so the fraction cannot be reduced further. Method 2 of Pick a small number. Using this method, you simply have to choose a small number, such as 2, 3, 4, 5, or 7, to get started. Look at the fractions to make sure that each one is divisible by the number you choose at least once.
Since both numbers are even, they will be divisible by 2. Divide the numerator and denominator of a fraction by that number. Continue this process. Since both numbers are still even, you can keep dividing them by 2. If just one or both of your new numerators and denominators are odd, then you can try to divide them by a new number. Keep dividing by that number until you can't go any further.
Both the new numerator and the new denominator are still even, homework help reducing fractions you can keep dividing them by 2. Make sure the fraction cannot be reduced further. If the numerator or denominator of the fraction can no longer be divisible by the number you've chosen, you may still be able to divide it by using a new number. Method 3 of Write out your fraction. Leave a large space to the right hand side of your paper -- you'll need it to write out the factors.
List the factors of the numerator and the denominator. Keep them in separate lists. It may be easiest if the lists line up on top of each other. Start with 1 and work your way up, listing them in pairs.
You'd write: 24 -- 1, 2, 3, 4, 6, 8, 12, 24 Then, move onto You'd write: 60 -- 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, Find and divide by the greatest common factor.
This may be referred to as the GCF in your textbook. What's the biggest number that goes into homework help reducing fractions the numerator and the denominator? Whatever it is, divide both numbers by that.
For our example, the biggest number that is a factor of both numbers is Method 4 of Find the prime factors of the numerator and the denominator. Homework help reducing fractions "prime" number is a number that cannot be divided by any other number homework help reducing fractions stay whole apart from itself and 1, of course.
Start with the numerator. From 24, branch off into 2 and Since 2 is a prime number already, you're done with that branch! Then take 12 into two more numbers: 2 and 6. Now divide 6 into two numbers: 2 and 3, homework help reducing fractions. You now have 2, 2, 2, and 3 as your prime numbers. Move onto the denominator. From 60, branch off your tree to 2 and Then split 15 into 3 and 5,both prime.
You now have 2, 2, 3 and 5 as your prime numbers. Write the prime factorization of each number. Take the list of prime numbers you have for each number and write them out to be multiplied. You don't actually have to do the math -- this just makes it easier to see. Cancel out the common factors. Any numbers that you see that are part of both numbers can be eliminated. In this case, what we have in common is a pair of twos and a 3. The same answer we got with the above method.
if both numerator homework help reducing fractions denominator are even numbers, homework help reducing fractions, just homework help reducing fractions of splitting the number in half.
keep on doing it to both until they are to small to split any more. If either the numerator or the denominator -- or both -- is odd, you will have to find some low, odd number that will divide evenly into both numbers. If you can't do so, homework help reducing fractions, the fraction may be irreducible.
Simplifying Fractions
, time: 3:35Fractions - Reducing fractions - First Glance
Mar 02, · Homeimprovementhouse: 6th Grade Social Studies Worksheets. 6th Grade Reading Comprehension Worksheets. 6th Grade Language Arts Worksheets. 6th Grade Grammar Worksheets. 4th Grade Language Arts Worksheets. free calculus tutor more cool math games google spreadsheet functions simple addition facts grade 8 pythagorean theorem worksheets christmas puzzles to print Oct 10, · In this way, homework was perceived as a collective practice wherein siblings could model effective habits and learn from one another. In another recent study, researchers examined mathematics achievement in low-income 8th-grade Asian and Latino students. Help with homework was an advantage their mothers could not provide Like fractions are fractions with the same denominator. You can add and subtract like fractions easily - simply add or subtract the numerators and write the sum over the common denominator. Homework Help | Pre-Algebra | Fractions: Email this page to a friend: Search · Definitions · Reducing fractions
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