Calculating which fraction is larger

Also, be sure to check out my other online math calculators for help with fractions, including Adding and Subtracting , Multiplying , Dividing , and Reducing. 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".

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. 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. 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.

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 the same denominators bottom number is easy. All you do is compare the numerators to see which fraction is greater, like this:. 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.

There is another simple rule: Two fractions are equal if numerator of first fraction multiplied by denominator of second one is equal to numerator of second fraction multiplied by denominator of first one. If both fractions have same denominator , then the fraction, which has bigger nominator is the bigger one. Sometimes, when we already know, which of the fractions is the greater one and which one is smaller, we want to compute difference between them.

In other words we want to know how much one fraction is greater than another one. To compute difference between two fractions we need to subtract smaller fraction from bigger one.

In order to do this we need to follow general subract rules i. Convert input fractions into improper form. If your fractions do not contain wholes part, then this step is unnecessary and can be skipped. Find common denominator. At that point, we will highlight the larger fraction in green and write out the larger fraction in the Result box. If the fractions are the same, we'll say so and highlight both fractions in yellow.

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