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Find a common denominator and convert 2 or more fractions to equivalent fractions with the same denominator.
A common denominator is any number that is a multiple of all denominators in a set of fractions. The Least Common Denominator (LCD) is the smallest such number, making calculations easier.
Tip: The LCD is always the smallest common denominator
Example: 1/3 → (1×4)/(3×4) = 4/12
You must have common denominators to add or subtract fractions. Only numerators are added/subtracted.
With common denominators, you can easily compare fractions by just looking at numerators.
To arrange fractions from least to greatest, convert to common denominators first.
A common denominator is any multiple shared by all denominators, while the LCD (Least Common Denominator) is the smallest common denominator. While any common denominator works, using the LCD keeps numbers smaller and easier to work with.
Yes! You can multiply all denominators together to get a common denominator. However, this often gives you larger numbers than necessary. The LCD is preferred because it keeps numbers manageable.
Find the LCM of all denominators at once, or find the LCM of two denominators, then the LCM of that result and the third denominator, and so on. Then convert each fraction using the final LCD.
Yes! When you convert a fraction to a common denominator, you're creating an equivalent fraction. For example, 1/2 = 2/4 = 3/6. They all represent the same amount, just divided into different-sized pieces.
Then you already have a common denominator! No conversion is needed. You can directly add, subtract, or compare the fractions using their numerators.
Check by converting your result back to decimals. The original fraction and converted fraction should have the same decimal value. For example, both 1/4 and 3/12 equal 0.25.