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Empress these fractions in their simplest from21/35 = ? 27/72: ? |
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Answer» Answer: GCD Method : step 1 Address the formula, input parameters & values. Input parameters & values: The given fraction = 27/72 step 2 Find GCD (Greatest COMMON Factor) for both numerator & denominator. The GCF for 27 & 72 is 9 step 3 DIVIDE the numerator & denominator by GCD 9 and rewrite the fraction = (27/9) / (72/9) = 3/8 Thus, 3/8 is the simplified fraction for 27/72 by using the GCD or HCF method. Prime FACTORIZATION Method : step 1 Address input parameters & values. Input parameters & values: The given fraction = 27/72 step 2 Find prime FACTORS for both numerator & denominator and rewrite the fraction in the form of prime factors Prime factors for 27 = 3 x 3 x 3 Prime factors for 72 = 2 x 2 x 2 x 3 x 3 = (3 x 3 x 3) / (2 x 2 x 2 x 3 x 3) step 3 solve & rewrite the fraction = ( 3)/(2 x 2 x 2 ) = 3/8 Thus, 3/8 is the simplified fraction for 27/72 by using the prime factorization method. Step-by-step explanation: hope you are fine |
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