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Order multiple fractions from least to greatest or greatest to least. Get step-by-step solutions showing decimal conversions and common denominators.
There are several methods to order fractions. Here are the most common approaches:
Divide the numerator by the denominator to get a decimal, then compare.
Convert all fractions to have the same denominator, then compare numerators.
For comparing two fractions a/b and c/d, compare a×d with b×c.
1/8 is NOT greater than 1/4 just because 8 > 4. The denominator matters!
-1/2 is less than -1/4 because -0.5 < -0.25
Convert all fractions to either decimals or common denominators before comparing.
The easiest way is to convert all fractions to decimals by dividing the numerator by the denominator. Then you can compare the decimals directly. For example, 1/2 = 0.5, 3/4 = 0.75, so 1/2 < 3/4.
You can either convert them to decimals, or find the least common denominator (LCD) and convert all fractions to equivalent fractions with that denominator. Then compare the numerators.
2/3 is bigger. Converting to decimals: 2/3 = 0.667 and 3/5 = 0.6. Or using common denominator 15: 2/3 = 10/15 and 3/5 = 9/15, so 10/15 > 9/15.
When fractions have the same numerator, the one with the smaller denominator is larger. For example, 1/2 > 1/3 > 1/4. Think of it as: one half of a pizza is more than one third of the same pizza.
Yes! Convert mixed numbers to improper fractions or decimals first. For example, 1 1/2 = 1.5 or 3/2, then compare with other fractions.
The LCD is the smallest number that all denominators can divide into evenly. For fractions 1/2, 1/3, and 1/4, the LCD is 12 because 12 is the smallest number divisible by 2, 3, and 4.