Answer: 13/20
Step-by-step explanation: step 1 Address the formula, input parameters & values.
Input parameters & values:
The given fraction = 143/220
step 2 Find GCD (Greatest Common Factor) for both numerator & denominator.
The GCF for 143 & 220 is 11
step 3 divide the numerator & denominator by GCD 11 and rewrite the fraction
= (143/11) / (220/11)
= 13/20
Thus, 13/20 is the simplified fraction for 143/220 by using the GCD or HCF method.
Prime Factorization Method :
step 1 Address input parameters & values.
Input parameters & values:
The given fraction = 143/220
step 2 Find prime factors for both numerator & denominator and rewrite the fraction in the form of prime factors
Prime factors for 143 = 11 x 13
Prime factors for 220 = 2 x 2 x 5 x 11
= (11 x 13) / (2 x 2 x 5 x 11)
step 3 solve & rewrite the fraction
= ( 13)/(2 x 2 x 5 )
= 13/20
Thus, 13/20 is the simplified fraction for 143/220 by using the prime factorization method.