- 6 10 In Lowest Terms
- Write 2 60 In Lowest Terms For A
- 2 4 In Lowest Terms
- 4 6 In Lowest Terms
- 4 8 In Lowest Terms
Reducing a rational expression to lowest terms is similar to reducing an arithmetic fraction to lowest terms. To Reduce a Rational Expression to Lowest Terms. Step 1 Factor the numerator and denominator. Step 2 Cancel pairs of factors that are common to the numerator and denominator. Reduce to lowest terms. 1/2 is the lowest term of 3/6. ? Your teacher might ask you to answer with a fraction in its simplest form. They may call it simplifying a fraction to its lowest term. Steps to Simplifying Fractions to their Lowest Terms. A fraction is in its lowest term if the numerator and the denominator cannot be divided by a common number, other than 1.
Tutoring: simplifying ordinary math fractions (reducing to the lowest terms)
To reduce a fraction to lowest terms (also called its simplest form), just divide both the numerator and denominator by the Greatest Common Factor (GCF or GCD). For example, 2/3 is in lowest form, but 4/6 is not in lowest form (the GCD of 4 and 6 is 2) and 4/6 can be expressed as 2/3. Well, a fraction is in Lowest Terms when the top and bottom have no common factors. Example: Fractions. 2 6 is not in lowest terms.
Steps to simplify an ordinary fraction, to reduce it to its lowest terms:
- 1) Factor both the numerator and the denominator of the fraction into prime factors.
- 2) Calculate the greatest common factor, GCF (or the greatest common divisor, GCD) of the fraction's numerator and denominator.
- 3) Divide both the numerator and the denominator of the fraction by the greatest common factor, GCF (GCD).
- In conclusion: the fraction thus obtained is called a reduced fraction or a fraction simplified to its lowest terms.
- A fraction reduced to its lowest terms cannot be further reduced and it is called an irreducible fraction.
Read the full article >> Simplifying ordinary (common) math fractions (reducing to lower terms): steps to follow and examples
6 10 In Lowest Terms
Why reducing (simplifying) fractions to lower terms?
Write 2 60 In Lowest Terms For A
2 4 In Lowest Terms
4 6 In Lowest Terms
- When running operations with fractions we are often required to bring them to the same denominator, for example when adding, subtracting or comparing.
- Sometimes both the numerators and the denominators of those fractions are large numbers and doing calculations with such numbers could be difficult.
- By simplifying (reducing) a fraction, both the numerator and denominator of a fraction are reduced to smaller values. Well, these values are much easier to work with, reducing the overall effort of working with fractions.
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CHANGING DECIMALSTO COMMON FRACTIONS Any decimal may be reduced to a commonfraction. To do this we simply write out thenumerator and denominator in full and reduceto lowest terms. For example, to change 0.12to a common fraction, we simply write out thefraction in full, and reduce to lowest terms, Likewise, 0.77 is written but this is in lowest terms 60 the fraction cannot be further reduced. One way of checking to see if a decimal fraction can be reduced to lower terms is to consider the makeup of the decimal denominator.The denominator is always 10 or a power of 10.Inspection shows that the prime factors of 10are 5 and 2. Thus, the numerator must be divisible by 5 or 2 or both, or the fraction cannotbe reduced. EXAMPLE: Change the decimal 0.0925 to acommon fraction and reduce to lowest terms. SOLUTION: Complex decimals are changed to common fraction6 by first writing out the numerator and denominator in full and then reducing the resulting complex fraction in the usual way. For example, to reduce 0.12 1/2 we first Write Writing the numerator as an improper fractionwe have and applying the reciprocal method of division,we have Tumbleweed express download free. Practice problems. Change the followingdecimals to common fraction6 in lowest terms: Answers: 1. 1/4 2. 3/8 3. 5/8 4. 4/125 CHANGING COMMONFRACTIONS TO DECIMALS The only difference between a decimal fraction and a common fraction is that the decimalfraction has 1 with a certain number of zeros(in other words, a power of 10) for a denominator. Thus, a common fraction can be changedto a decimal if it can be reduced to a fractionhaving a power of 10 for a denominator. If the denominator of the common fraction inits lowest terms is made up Of the prime factors 2 or 5 or both, the fraction can be converted to an exact decimal. If some other primefactor is present, the fraction cannot be converted exactly. The truth of this is evidentwhen we Consider the denominator of the newfraction. It must always be 10 or a power of 10,and we know the factor6 of such a number arealways 2’s and 5’s. The method of converting a common fractionto a decimal is illustrated as follows: EXAMPLE: Convert 3/4 to a decimal. SOLUTION: Notice that the original fraction could have beenrewritten as 3000/4000, in which case the result would have been 0.750. On the other hand,if the original fraction had been rewritten as30/40, the resulting division of 4 into 30 wouldnot have been po66ible without a remainder.When the denominator in the original fractionhas only 2’s and 5's as factors, so that we knowa remainder is not necessary, the fractionshould be rewritten with enough 0's to completethe division with no remainder. Observation of the results In the foregoingexample lead6 to a shortcut in the conversionmethod. Nothing that the factor l/100 ultimatelyenters the answer in the form of a decimal, wecould introduce the decimal point as the finalstep without ever writing the fraction 1/100. Thus the rule for changing fraction6 to decimals is as follows: 1. Annex enough 0's to the numerator of theoriginal fraction 60 that the division will beexact (no remainder). 2. Divide the original denominator into thenew numerator formed by annexing the 0's 3. Place the decimal-point in the answer sothat the number of decimal places in the answeris the same as the number of 0’s annexed to theoriginal numerator.If a mixed number in common fraction formis to be converted, convert only the fractionalpart and then write the two parts together. Thisis illustrated as follows: Practice problems. Convert the following common fractions and mixed numbers to decimal form: Answers: 1. 0.25 2. 0.375 3. 0.15625 4. 2.3125 |
4 8 In Lowest Terms
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