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First, rewrite [tex]\frac{13}{15}[/tex] and [tex]\frac{5}{6}[/tex] so that they have a common denominator. Then, use <, =, or > to order [tex]\frac{13}{15}[/tex] and [tex]\frac{5}{6}[/tex].

Answer :

To order, 13/15 is greater than 5/6.

To compare the fractions 13/15 and 5/6, we first need to rewrite them with a common denominator. Here’s how you can do that:

  • Find the Least Common Denominator (LCD)
    The denominators are 15 and 6. To find the least common denominator:
    List the multiples of each denominator:
    Multiples of 15: 15, 30, 45, 60, 75, …
    Multiples of 6: 6, 12, 18, 24, 30, …
    The smallest common multiple is 30. So, the least common denominator is 30.

  • Convert Each Fraction to Have the Common Denominator
    Convert 13/15
    To convert 13/15 to a fraction with a denominator of 30, multiply both the numerator and the denominator by 2:
    (13/15) × (2/2) = 26/30
    Convert 5/6
    To convert 5/6 to a fraction with a denominator of 30, multiply both the numerator and the denominator by 5:
    (5/6) × (5/5) = 25/30

  • Compare the Fractions
    Now we compare 26/30 and 25/30:
    26/30 is greater than 25/30.

  • Thus, the order of the fractions is:
    13/15 > 5/6

The complete question is:
First, rewrite 13/15 and 5/6 so that they have a common denominator and then order 13/15 and 5/6. Use = if they are the same.

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