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Q: The first step in reducing a rational expression is to both the numerator and denominator?
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The first step in reducing a rational expression is to do what to both the numerator and denominator?

To reduce a fraction to its lowest terms divide the numerator and the denominator by their highest common factor


Reducing rational expressions is a lot like reducing numerical fractions you first need to do what to the numerator and denominator?

factor


When you're reducing a ratio what stays the same?

The quotient of the numerator and denominator.


How do you multiply a fraction containing a variable by a variable?

in reducing fractions deviden the numerator by denominator


How do you simplify a fraction to a fraction?

By reducing it to its lowest terms which will be when the HCF of the numerator and denominator is 1


What is meant by reducing a fraction?

It means dividing the numerator and denominator of the fraction by their greatest common factor.


When reducing a fraction using prime factorization of the over the factorization of the denominator?

When reducing a fraction, find the GCF of the numerator and denominator and divide them both by it. If the GCF is 1, the fraction is already in its simplest form.


Is reducing a fraction the highest or lowest number that can go into a number?

Highest number that can go into the numerator and denominator.


What word means to multiply the numerator and the denominator of a ratio by the same facyor?

It is called reducing or simplifying the fraction.


What is the rule for reducing a fraction to its lowest term?

Find the highest common factor (HCF) of the numerator and denominator. If it is 1, then the fraction is already in its lowest term.If not, divide the numerator by the HCF for the new numerator.Divide the denominator by the HCF for the new denominator.The new numerator over the new denominator is the fraction in its lowest terms.


What is a simplifie?

Simplify (not simplifie) has many meanings which depend on the context. In the context of ratios or fractions, it means reducing the ratio to its lowest or simplest form. This requires the numerator and denominator to be divided by their greatest common factor. If the fractions contain surds or complex numbers in the denominator, simplifying means removing these to the numerator. This requires multiplying both the numerator and denominator by the conjugate number. In the context of an equation or expression, it means to combine like terms.


change 7/8 to eightieths?

70/80 You can multiply the numerator and the denominator by the same number. Opposite of reducing a fraction.


How do you make an improper fraction into a mixed number in simplest form?

divide the denominator &numerator & go on reducing it.


What does ratio in simpless form mean?

It is simplest, not simpless. That means reducing the numerator and denominator so that they do not have any common factors.


Where do you use GCF in real life?

When reducing fractions to their simplest form the greatest common factor of their numerator and denominator must be found.


How do you change higher term to lower term?

When reducing fractions to their lowest terms divide the numerator and denominator by their greatest common factor


How do you multiply rational algebraic expression?

Multiplying Rational Expressions After studying this lesson, you will be able to: * Multiply rational expressions. Steps to multiply a rational expression: 1. Cancel numerator to denominator if possible (don't cancel parts of a binomial or trinomial) 2. Factor the numerators and denominators if possible. 3. Multiply straight across - remember, you don't need a common denominator to multiply fractions (or rational expressions). Example 1 Nothing will cancel. Nothing will factor. All we have to do is multiply. This is the simplified answer. Example 2 We can do some canceling and reducing in this problem. 2 and 16 reduces; 9 and 3 reduces, reduce the variables. Now, we multiply. This is the simplified expression. Example 3 We can reduce 12 and 3 and reduce the variables Now, factor the second denominator. Cancel the identical binomials (x + 5 ) This is the simplified expression. Example 4 Factor Cancel the identical binomials. This is the simplified expression. Example 5Factor Cancel the identical binomials. This is the simplified expression. THIS WAS MADE BY: www.algebra-online.com/multiplying-rational-expressions-1.htm Hope this helped !


How you reduce fraction and mixed numbers to the lowest terms?

Make sure that whatever you're reducing is a fraction, either proper or improper. Find the GCF of the numerator and the denominator. If the GCF is greater than 1, divide both the numerator and the denominator by it. If the GCF is 1, the fraction is in its simplest form.


Is 2 14ths equal to 3 7ths?

No, it is equal to 1/7 This is shown by reducing the fraction, by dividing the numerator and denominator by 2.


What is 8 over 16 in simplest form?

8/16 = 1/2 The first check in reducing fractions is to see if the denominator (16) is divisible by the numerator (8), then you can divide both by the top number, leaving it as 1 with a smaller denominator.


If you compare two fraction with the same denominator the fraction with the greater numerator is greater true or false?

Yes. For example, 2/3 is greater than 1/3. After reducing to the GCD, the fraction with the larger numerator is the larger number.


What is the fraction 8 over 24 in reducing to the lowest amount?

It's 1/3 (just keep dividing the numerator and denominator by 2, until you can no longer divide it by 2).


What types of problems can be found using the greatest common factor?

The most frequent use of GCF is in reducing fractions. If you divide the numerator and the denominator by the GCF the result is called reduced.


What is it called when you remove a common factor?

If you take a common factor and write it outside of the parentheses (which you may need to add), that's called "factoring" or "factorizing". If you have a common factor in the numerator and denominator of an expression, you can just eliminate both; that's often referred to as "simplifying".


Why is finding the greatest common factor useful for reducing fractions?

To simplify or reduce an improper fraction, you can divide the numerator and denominator by the greatest common factor of both numbers. For example, if you are given the fraction 36/60; the common factors of the numerator (36) are 2, 3, 4, 6, 9, 12, and 18. The common factors of the denominator are 2, 3, 5, 6, 10, 12, and 20. We can see that 12 is the largest common factor between the numerator and denominator. Divide the numerator and denominator by 12: 36 / 12 = 3, and 60 / 12 = 5. We see that the fraction reduces to 3/5.

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