Compare fractions, decimals, and also percentages to find which is higher than, less than, or if they space equal.
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Step One: convert all numbers to decimal
123 = 1.6666666666667
1.75 = 1.75
Step Two: compare the decimal values1.6666666666667
Step Three: rewrite the numbers making use of the initial values123 include this calculator come your website
How to to compare FractionsComparing fractions could seem challenging; it seems a bit like compare apples and also oranges. Fortunately, there room a few methods because that comparing one portion to another.
Method One: compare Fractions by converting to Decimal First
The an initial way to compare fractions is to convert them come a decimal value. Divide the numerator of each portion by the denominator, then compare the decimal values.
Here’s a tip: usage our portion to decimal calculator to obtain the decimal value for your fraction. Girlfriend might also want to examine out ours decimal equivalents chart to watch the decimal equivalents for usual fractions.
Method Two: to compare Fractions By finding the usual Denominator
Another means to compare fractions is come rewrite all the fountain to identical fractions with the same denominator. To perform this, uncover the greatest common denominator, then make the denominators of each fraction equal.
Start by finding the lowest usual denominator, i beg your pardon we sometimes refer to as the least typical denominator. This is the smallest number that each denominator divides same into. If you’re not sure exactly how to carry out this, ours lowest common denominator calculator will assist you uncover it.
For example, let’s uncover the lowest typical denominator the 6 and also 9.
6 × 3 = 189 × 2 = 18LCD = 18
Next, divide the lowest typical denominator through the denominator that the fraction to discover the multiple. Then, multiply the molecule by the multiple to gain the brand-new numerator. Placed the brand-new numerator end the lowest common denominator to gain the new fraction.
For example, transform 16 to a portion with a denominator that 18.
18 ÷ 6 = 33 × 1 = 316 = 318
You’ll desire to repeat this step for each portion until they all have actually the exact same denominator.
You can additionally use an indistinguishable fractions calculator or ours equivalent portion chart to check out equivalents for usual fractions, which might assist shortcut the conversion.
Finally, compare the numerators to uncover which fraction is the biggest or smallest. The portion with the bigger numerator is the bigger number.
For example, compare 318 come 218 to watch which is largest.
numerator #1 = 3numerator #2 = 23 > 2
Thus, 318 is higher than 218
Method Three: compare Fractions v the very same Numerator
When fractions have the very same numerator, to compare them by to compare the denominators. When the numerators are the same, the fraction with the smaller denominator is larger. Saying this a different way, the larger the denominator, the smaller sized the number is.
How to compare Fractions to Decimals and also Percentages
The steps to compare fractions to decimals and percent values room a small different.
First, transform each number come decimal form. Divide portion numerators through the denominator and divide percentages through 100.
Second, compare the decimal values v each other to determine which is smaller sized or larger.
Finally, rewrite the comparison statement making use of the original numbers and include the correct operator as uncovered in the previous step.
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You might additionally find our ordering fractions calculator interesting.
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