Calculators & Converters

    18/21 Simplified in Lowest Terms

    Fraction Simplification Calculator

    18/21 simplified in lowest terms provides the detailed information of what is the simplest form of 18/21, and the answer with steps help students to understand how to simplify the fraction in simplest form.


    Simplify 18/21 in Lowest Terms
    18/21 = (?)
    18/21 = (2 x 3 x 3)/(3 x 7)
    = 6/7
    18/21 = 6/7
    The simplest form of 18/21 is 6/7

    where,
    18/21 is the given fraction to be simplified,
    6/7 is the lowest term of 18/21.

    For values other than 18/21, use this below tool:

    How-to: Simplify 18/21 in Lowest Terms

    The below solution with step by step work shows how to find what is the lowest term of 18/21. The fraction 18/21 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 = 18/21

    what to be found:
    18/21 = ?
    Find what is the lowest term of 18/21.

    step 2 Find the prime factors of the numerator of given fraction 18/21.
    Prime factors of 18 = 2 x 3 x 3

    step 3 Find the prime factors of the denominator of given fraction 18/21.
    Prime factors of 21 = 3 x 7

    step 4 Rewrite the fraction 18/21 in the form of prime factors as like the below:
    18/21= (2 x 3 x 3) / (3 x 7)

    step 5 Check and cancel the factors of 18 and 21 if any factors in the numerator and denominator can be cancelled each other in the above fraction of prime factors:
    = (2 x 3 x 3) / (3 x 7)
    = (2 x 3)/( 7)

    step 6 Simplify and rewrite the fraction as like the below:
    = 6/7
    18/21 = 6/7
    Hence,
    the simplest form of 18/21 is 6/7.



    GCF Method :
    step 1 Observe the input parameters and what to be found:
    Input values:
    Fraction = 18/21

    what to be found:
    18/21 = ?
    Find what is the lowest term of 18/21.

    step 2 Find GCF (Greatest Common Factor) for both numerator and denominator of the fraction 18/21.
    The GCF of 18 and 21 is 3.

    step 3 Divide the numerator and denominator of the fraction 18/21 by GCF 3:
    = (18/3)(21/3)

    step 4 Simplify the above expression:
    = (18/3)(21/3)
    = 6/7
    18/21 = 6/7

    Hence,
    6/7 is the simplified or lowest term of 18/21.

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