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Comparing Mixed Fractions

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Comparing Mixed Fractions

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Solution

Sure, I can help with that. Here are the steps to compare mixed fractions:

  1. Convert each mixed fraction into an improper fraction. A mixed fraction is a whole number and a fraction combined into one "mixed" number. An improper fraction is a fraction where the numerator (top number) is greater than or equal to the denominator (bottom number).

    To convert a mixed fraction to an improper fraction, you multiply the whole number by the denominator of the fraction, then add that result to the numerator. This becomes your new numerator, while your denominator remains the same.

  2. Once you have converted all mixed fractions to improper fractions, compare the fractions. If the denominators are the same, you can simply look at the numerators. The fraction with the larger numerator is the larger fraction.

  3. If the denominators are not the same, you will need to find a common denominator. The easiest way to do this is to multiply the two denominators together. This becomes your new denominator.

  4. Next, you need to convert each fraction to have the new denominator. To do this, divide the new denominator by the old denominator, then multiply the result by the old numerator. This gives you your new numerator.

  5. Now that the fractions have the same denominator, you can compare them by looking at the numerators. The fraction with the larger numerator is the larger fraction.

  6. If you need to convert your answer back into a mixed fraction, divide the numerator by the denominator. The quotient is your whole number, the remainder is your new numerator, and the denominator remains the same.

This problem has been solved

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Choose the improper fraction that is equivalent to the mixed number

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