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    105/120 Simplified

    Fraction Simplifier Calculator

    Simplify the Fraction

    What is 105/120 Simplified?

    Answer

    Fraction 105/120 simplified to lowest terms is
    7/8 (⅞)
    105
    120
    =
    7
    8

    7/8 (⅞) is the simplified fraction of 105/120.

    Simplifying Fraction 105/120 using GCF

    The first way to simplify the fraction 105/120 is to use the Greatest Common Factor (GCF) of our numerator [105] and denominator [120].

    GCF of 105 and 120 is 15

    And then divide both the numerator [105] and denominator [120] by the GCF [15].

    105 ÷ 15
    120 ÷ 15
    =
    7
    8

    Simplifying Fraction 105/120 using Prime Factors

    Another method to reduce the fraction 105/120 to its simplest form is to use the Prime Factors of numerator [105] and denominator [120].

    Prime Factors of 105: 3,5,7

    Prime Factors of 120: 2,2,2,3,5

    Now we can write down a new fraction expressed by its Prime Factors and cancel common factors in numerator and denominator:

    3 × 5 × 7
    2 × 2 × 2 × 3 × 5
    =
    7
    8

    Simplifying Fraction 105/120 by Dividing by the Smallest Possible Number

    In order to simplify our fraction we can start dividing both the numerator [105] and denominator [120] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a remainder.

    105 ÷ 3
    120 ÷ 3
    =
    35
    40
    35 ÷ 5
    40 ÷ 5
    =
    7
    8

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    What is 105/120 Simplified to Simplest Form?. Fraction 105/120 simplified to lowest terms is 7/8 (⅞). Reduce 105/120 to its simplest form.
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    Fraction Simplification Table

    FractionLowest Terms
    105/1051/1
    105/106105/106
    105/107105/107
    105/10835/36
    105/109105/109
    105/11021/22
    105/11135/37
    105/11215/16
    105/113105/113
    105/11435/38
    105/11521/23
    105/116105/116
    105/11735/39
    105/118105/118
    105/11915/17
    105/1207/8 (⅞)
    105/121105/121
    105/122105/122
    105/12335/41
    105/124105/124
    105/12521/25
    105/1265/6 (⅚)
    105/127105/127
    105/128105/128
    105/12935/43
    105/13021/26
    105/131105/131
    105/13235/44
    105/13315/19
    105/134105/134

    Fraction Simplifier Calculator

    This calculator will help you to simplify any fraction to its simplest form. For example, it can help you find out what is 105/120 Simplified? (The answer is: 7/8 (⅞)). Enter the fraction (numerator and denominator) (e.g. '105/120') and hit the 'Simplify' button.
    Simplifying a fraction, (e.g. 105/120) means reducing it to its simplest form. A fraction is considered simplified if its numerator and denominator have no common factors other than 1 (one).
    Fraction Simplifier Calculator

    Simplify the Fraction

    FAQ

    What is 105/120 Simplified?

    Fraction 105/120 simplified to lowest terms is 7/8 (⅞)

    What is 105/120 as a decimal?

    Divide the reduced numerator by the reduced denominator: 7 ÷ 8 = 0.875, rounded to three decimal places. Reducing the fraction first does not change the value, only the numbers you divide.

    What is the GCF of 105 and 120?

    The Greatest Common Factor of 105 and 120 is 15, and dividing the numerator and the denominator by it is what brings the fraction to 7/8 (⅞). A GCF of 1 means the fraction is already in lowest terms.

    See Also