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Simplify -8i^143 and explain the process

Sagot :

davidlooney

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.

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