Calculators & Converters

    15/75 Simplified in Lowest Terms

    Fraction Simplification Calculator

    15/75 simplified in lowest terms provides the detailed information of what is the simplest form of 15/75, and the answer with steps help students to understand how to simplify the fraction in simplest form.


    Simplify 15/75 in Lowest Terms
    15/75 = (?)
    15/75 = (3 x 5)/(3 x 5 x 5)
    = 1/5
    15/75 = 1/5
    The simplest form of 15/75 is 1/5

    where,
    15/75 is the given fraction to be simplified,
    1/5 is the lowest term of 15/75.

    For values other than 15/75, use this below tool:

    How-to: Simplify 15/75 in Lowest Terms

    The below solution with step by step work shows how to find what is the lowest term of 15/75. The fraction 15/75 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 = 15/75

    what to be found:
    15/75 = ?
    Find what is the lowest term of 15/75.

    step 2 Find the prime factors of the numerator of given fraction 15/75.
    Prime factors of 15 = 3 x 5

    step 3 Find the prime factors of the denominator of given fraction 15/75.
    Prime factors of 75 = 3 x 5 x 5

    step 4 Rewrite the fraction 15/75 in the form of prime factors as like the below:
    15/75= (3 x 5) / (3 x 5 x 5)

    step 5 Check and cancel the factors of 15 and 75 if any factors in the numerator and denominator can be cancelled each other in the above fraction of prime factors:
    = (3 x 5) / (3 x 5 x 5)
    = (1)/( 5)

    step 6 Simplify and rewrite the fraction as like the below:
    = 1/5
    15/75 = 1/5
    Hence,
    the simplest form of 15/75 is 1/5.



    GCF Method :
    step 1 Observe the input parameters and what to be found:
    Input values:
    Fraction = 15/75

    what to be found:
    15/75 = ?
    Find what is the lowest term of 15/75.

    step 2 Find GCF (Greatest Common Factor) for both numerator and denominator of the fraction 15/75.
    The GCF of 15 and 75 is 15.

    step 3 Divide the numerator and denominator of the fraction 15/75 by GCF 15:
    = (15/15)(75/15)

    step 4 Simplify the above expression:
    = (15/15)(75/15)
    = 1/5
    15/75 = 1/5

    Hence,
    1/5 is the simplified or lowest term of 15/75.

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