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    45/81 Simplified in Lowest Terms

    Fraction Simplification Calculator

    45/81 simplified in lowest terms provides the detailed information of what is the simplest form of 45/81, and the answer with steps help students to understand how to simplify the fraction in simplest form.


    Simplify 45/81 in Lowest Terms
    45/81 = (?)
    45/81 = (3 x 3 x 5)/(3 x 3 x 3 x 3)
    = 5/9
    45/81 = 5/9
    The simplest form of 45/81 is 5/9

    where,
    45/81 is the given fraction to be simplified,
    5/9 is the lowest term of 45/81.

    For values other than 45/81, use this below tool:

    How-to: Simplify 45/81 in Lowest Terms

    The below solution with step by step work shows how to find what is the lowest term of 45/81. The fraction 45/81 simplified can be found by using anyone of the below two methods:
    1. Prime factorization method,             
    2. GCF method.

    Prime Factorization Method :
    step 1 Observe the input parameters and what to be found:
    Input values:
    Fraction = 45/81

    what to be found:
    45/81 = ?
    Find what is the lowest term of 45/81.

    step 2 Find the prime factors of the numerator of given fraction 45/81.
    Prime factors of 45 = 3 x 3 x 5

    step 3 Find the prime factors of the denominator of given fraction 45/81.
    Prime factors of 81 = 3 x 3 x 3 x 3

    step 4 Rewrite the fraction 45/81 in the form of prime factors as like the below:
    45/81= (3 x 3 x 5) / (3 x 3 x 3 x 3)

    step 5 Check and cancel the factors of 45 and 81 if any factors in the numerator and denominator can be cancelled each other in the above fraction of prime factors:
    = (3 x 3 x 5) / (3 x 3 x 3 x 3)
    = ( 5)/( 3 x 3)

    step 6 Simplify and rewrite the fraction as like the below:
    = 5/9
    45/81 = 5/9
    Hence,
    the simplest form of 45/81 is 5/9.



    GCF Method :
    step 1 Observe the input parameters and what to be found:
    Input values:
    Fraction = 45/81

    what to be found:
    45/81 = ?
    Find what is the lowest term of 45/81.

    step 2 Find GCF (Greatest Common Factor) for both numerator and denominator of the fraction 45/81.
    The GCF of 45 and 81 is 9.

    step 3 Divide the numerator and denominator of the fraction 45/81 by GCF 9:
    = (45/9)(81/9)

    step 4 Simplify the above expression:
    = (45/9)(81/9)
    = 5/9
    45/81 = 5/9

    Hence,
    5/9 is the simplified or lowest term of 45/81.

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