Practice Problem: Convert each percent to a fraction in lowest terms. Solution: In each case, divide by 100% and reduce to lowest terms. To get rid of the decimal in part c, simply multiply both numerator and denominator by 10 (recall that this is the same as multiplying the fraction by 1). Reduced fraction: 5 / 6 Therefore, 60/72 simplified to lowest terms is 5/6. MathStep (Works offline) Download our mobile app and learn to work with fractions in your own time: Android and iPhone/ iPad. Equivalent fractions: 120 / 144 30 / 36 180 / 216 20 / 24 300 / 360 420 / 504. More fractions: 120 / 72 60 / 144 180 / 72 60 / 216 61 / 72 60. 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.
getcalc.com's Fraction Simplification Calculator is an online basic math function tool to reduce the fraction number to its lowest terms. This calculator, formula, workout and associated information may help students, teachers or professionals to learn, teach or execute such calculations manually.
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Reduce a Fraction to Lowest Terms - powered by WebMath. This page will show you how to reduce a fraction to lowest terms. Type your numerator and denominator (numbers only please!) into the boxes, then click the button. Rational Expressions: Writing in Lowest Terms – Ex 2. Rational Expressions: Writing in Lowest Terms – Ex 2. Topic: Algebra, Factoring and Simplifying.
The fractions can't be reduced further if it meets any one of the following criteria.
1. prime number in either numerator or denominator.
2. GCD (Greatest Common Factor) as 1 for numerator and denominator.
1. prime number in either numerator or denominator.
2. GCD (Greatest Common Factor) as 1 for numerator and denominator.
![2 8 in lowest terms 2 8 in lowest terms](https://i.ytimg.com/vi/Ea2Xti6AV3k/maxresdefault.jpg)
4 8 In Lowest Terms
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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 Practice problems. Change the followingdecimals to common fraction6 in lowest terms: Answers: 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 fractional Adobe premiere pro cc 2019 13 1 150. part 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 |
2 4 In Lowest Terms
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