Answer: Yes, 3/4 Is Bigger Than 1/2.
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This comparing fractions calculator will compare one entered fraction or mixed number with a second entered fraction or mixed number, and let you know which is bigger.
Plus, unlike other online fraction calculators, this calculator will show its work and give a detailed step-by-step explanation as to how it arrived at the answer (by finding a common denominator).
Finally, if you would like to arrange a list of fractions and mixed numbers in ascending or descending order, please visit the Ordering Fractions Calculator.
Also, be sure to check out my other online math calculators for help with fractions, including Adding and Subtracting, Multiplying, Dividing, and Reducing.Read more ...
Also on this page:
- How to compare fractions?
- How to compare fractions with different denominators.
- Which fraction is bigger calculator.
- Greater than less than fractions calculator.
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Selected Data Record:
A Data Record is a set of calculator entries that are stored in your web browser's Local Storage. If a Data Record is currently selected in the "Data" tab, this line will list the name you gave to that data record. If no data record is selected, or you have no entries stored for this calculator, the line will display "None".DataData recordData recordSelected data record: None
Learn MoreExample comparisons:Common comparisons:To see an example of how the Comparing Fractions Calculator works, select a popular fraction comparison question from the drop-down menu. To clear the comparison fields to enter your own comparison, select "Select" or click the "Reset" button.Select3/4 vs 1/22/3 vs 1/23/5 vs 1/23/4 vs 2/33/8 vs 1/45/6 vs 2/31/3 vs 1/45/8 vs 3/44/5 vs 1/27/8 vs 3/47/8 vs 1/18/10 vs 3/4 | |||||||||
Learn More1st Entry1st entry:If the entry is a whole number only, leave the numerator and denominator blank. If the entry is a mixed number, enter a positive integer for the whole number, the numerator, and denominator. If the entry is a fraction only, leave the whole number field blank. | |||||||||
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Learn More2nd Entry2nd entry:If the entry is a whole number only, leave the numerator and denominator blank. If the entry is a mixed number, enter a positive integer for the whole number, the numerator, and denominator. If the entry is a fraction only, leave the whole number field blank. | |||||||||
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| Compare Fractions | |||||||||
Learn MoreGreatest:Greatest:Greater of fractions:Greater of fractions:Greater of fractions:This is the greater of the two entries. After determining which entry is greater, the compare fractions calculator will show its work and give a detailed explanation of each step it took to arrive at the answer. | |||||||||
If you would like to save the current entries and results to the device you are using, tap or click on the Data tab and then tap or click on the Save button. If you upgrade your Basic, Local Storage subscription to the Cloud Storage acess level, you can save multiple sets of entries for this calculator to the secure online database, which makes them accessable from any device. | |||||||||
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Calculator Details Learn More* Calculator Title:Calculator Title:This field should already be filled in if you are using a newer web browser with javascript turned on. If it's not filled in, please enter the title of the calculator as listed at the top of the page.Calculator TitleLearn More* Calculator Web Address: Calculator Web Address:This field should already be filled in if you are using a newer web browser with javascript turned on. If it's not filled in, please enter the web address of the calculator as displayed in the location field at the top of the browser window (www.free-online-calculator-use.com/____.html).Calculator Web Address (www.free-online-calculator-use.com/____.html)Learn MorePlatform, web browser, & data: Platform, web browser, & data:This field should already be filled in if you are using a newer web browser with javascript turned on. If the calculator is not working for you, this information will help me to find and fix the problem. Since this calculator has been tested to work with many setup and entry combinations, I probably won't be able to find and fix the problem without knowing your set-up and the data you entered into the calculator. If you reset the calculator before opening this form, please re-enter the entries that didn't work and click the Get Data button. You can clear this field if you're not comfortable sharing it and/or if the calculator is working properly for you.Get DataClearClear DataClear DataClear DataPlatform, Web Browser, & Data |
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IMPORTANT: Numeric entry fields must not contain dollar signs, percent signs, commas, spaces, etc. (only digits 0-9 and decimal points are allowed).
Click the Terms tab above for a more detailed description of each entry.
Step #1:
Enter the whole number, the numerator (top) and the denominator (bottom) of the 1st entry.
Step #2:
Enter the whole number, numerator, and denominator of the 2nd entry.
Note that for Step #1 and Step #2, you can either enter a whole number only, a mixed number, or a fraction only.
Step #3:
Click the "Compare Fractions" button, which will display the greater of the two fractions and generate a step-by-step explanation showing how the calculator arrived at the result.
Back to CalculatorMixed number:The combination of a whole number and a fraction, such as 3 1/4 (three and one quarter).Improper fraction:A fraction having a numerator that is larger than the denominator, such as 5/3.Numerators:The top number for each factor that contains a fraction. If a factor is a whole number only, leave the numerator and denominator fields blank.Denominators:The bottom number for each factor that contains a fraction. If a factor is a whole number only, leave the numerator and denominator fields blank.Least Common Multiple (LCM):The process used by the compare fractions calculator to find the smallest number that the denominators of two or more fractions will all divide into evenly. This process is necessary for adding, subtracting, or comparing fractions with different denominators.Reset button:Clicking the "Reset" button will restore the calculator to its default settings.Back to CalculatorShowHelpandTools?InstructionsTermsDataPCalc
Click the ? tab for Help & Tools instructions.
How Do You Compare Fractions?
The answer to that question depends on whether you are comparing fractions with the same denominators or if you are comparing fractions with different denominators.
Comparing Fractions with Same Denominators
Comparing fractions with the same denominators (bottom number) is easy. All you do is compare the numerators to see which fraction is greater, like this:Comparison with Same Denominators
| 4 | > | 3 |
| 5 | 5 |
Comparing Fractions with Different Denominators
Comparing fractions with different denominators requires a little more work (unless you use the compare fractions calculator on this page), because in order to compare the fractions you must first turn their different denominators into the same denominators. You do that by finding the least common multiple (LCM) of the denominators.
To illustrate how you use LCM to turn different denominators into same denominators, let's suppose you want to compare the fraction 2/3 to the fraction 3/4 to see which is greater.
The first step is to find the lowest number that both 3 and 4 will divide into evenly (the LCM). According to my calculations, the LCM of the two denominators (3 & 4) is 12.
Once we have found the LCM for the two denominators, the next step is to multiply the top and bottom of each fraction by the number of times each fraction's denominator goes into the LCM.
Since 3 goes into 12 a total of 4 times, you would multiply the top and bottom of 2/3 by 4, which results in 8/12.
Next, since 4 goes into 12 a total of 3 times, you would multiply the top and bottom of 3/4 by 3, which results in 9/12.
Finally, since both denominators are now the same, you compare the numerators (8 and 9) to determine which fraction is greater. Since 9 is greater than 8, 9/12 is greater than 8/12 -- therefore 3/4 is greater than 2/3. Here is how our example of comparing fractions with different denominators might appear on paper:Comparing Fractions with Different Denominators
| Step #1: | 2x 4 | Vs | 3x 3 | = | 8 | Vs | 9 | ||
| 3x 4 | 4x 3 | 12 | 12 |
| Step #2: | 8 | < | 9 | ||
| 12 | 12 |
So for like denominators you simply compare the numerators and for unlike denominators you multiply the top and bottom by the least common multiple of each denominator, and then compare the numerators.
Which Fraction is Bigger Calculator
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Answer: Yes, 3/4 is bigger than 1/2. You can confirm this by converting both fractions to decimals.
The decimal 0.75 is bigger than 0.5, so 3/4 is bigger than 1/2. |
Greater Than Less Than Fractions Calculator
The following calculator will generate a list of fractions greater than or less than the selected fraction between 1/1 and 20/20.
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| 1/1 2/2 3/3 4/4 4/5 5/5 5/6 6/6 6/7 7/7 7/8 8/8 7/9 8/9 9/9 8/10 9/10 10/10 9/11 10/11 11/11 10/12 11/12 12/12 10/13 11/13 12/13 13/13 11/14 12/14 13/14 14/14 12/15 13/15 14/15 15/15 13/16 14/16 15/16 16/16 13/17 14/17 15/17 16/17 17/17 14/18 15/18 16/18 17/18 18/18 15/19 16/19 17/19 18/19 19/19 16/20 17/20 18/20 19/20 20/20 |
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Move the slider to left and right to adjust the calculator width. Note that the Help and Tools panel will be hidden when the calculator is too wide to fit both on the screen. Moving the slider to the left will bring the instructions and tools panel back into view.
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If the tools panel becomes "Unstuck" on its own, try clicking "Unstick" and then "Stick" to re-stick the panel.
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