Calculators & Converters

    What is the Reduced Fraction for 10/14?

    Fraction Simplification Calculator

    getcalc.com's fraction simplification calculator to find what's a reduced or simplest form for 10/14 at its lowest terms. 5/7 is a simplified fraction for 10/14

    How to Simplify Fraction 10/14 to its Lowest Term?

    The below workout with step by step calculation shows how to simplify the fraction 10/14 to its lowest term or simplest form. The below are the two methods used to convert the fraction to its lowest terms.
    1. GCD or HCF method             
    2. Prime factorization method
    GCD Method :
    step 1 Address the formula, input parameters & values.
    Input parameters & values:
    The given fraction = 10/14

    step 2 Find GCD (Greatest Common Factor) for both numerator & denominator.
    The GCF for 10 & 14 is 2

    step 3 divide the numerator & denominator by GCD 2 and rewrite the fraction
    = (10/2) / (14/2)
    = 5/7

    Thus, 5/7 is the simplified fraction for 10/14 by using the GCD or HCF method.

    Prime Factorization Method :
    step 1 Address input parameters & values.
    Input parameters & values:
    The given fraction = 10/14

    step 2 Find prime factors for both numerator & denominator and rewrite the fraction in the form of prime factors
    Prime factors for 10 = 2 x 5
    Prime factors for 14 = 2 x 7
    = (2 x 5) / (2 x 7)

    step 3 solve & rewrite the fraction
    = ( 5)/( 7)
    = 5/7

    Thus, 5/7 is the simplified fraction for 10/14 by using the prime factorization method.

    Chart

    User may refer the below chart for simplest form of 10/14 and its nearest values.
    FractionReduced FormDecimal Value
    8/144/70.5714
    8/184/90.4444
    10/125/60.8333
    10/145/70.7143
    10/165/80.625
    10/185/90.5556
    12/146/70.8571
    14/127/61.1667
    14/167/80.875
    14/187/90.7778
    16/148/71.1429
    16/188/90.8889
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