Find the value of 243 by 363
Answers
Answer: 81/121
♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡
Step-by-step explanation: address the formula, input parameters & values.
Input parameters & values:
The given fraction = 243/363
♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡
step 2 Find GCD (Greatest Common Factor) for both numerator & denominator.
The GCF for 243 & 363 is 3
♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡
step 3 divide the numerator & denominator by GCD 3 and rewrite the fraction
= (243/3) / (363/3)
= 81/121
♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡
Thus, 81/121 is the simplified fraction for 243/363 by using the GCD or HCF method.
♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡
Prime Factorization Method :
step 1 Address input parameters & values.
Input parameters & values:
The given fraction = 243/363
♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡
step 2 Find prime factors for both numerator & denominator and rewrite the fraction in the form of prime factors
Prime factors for 243 = 3 x 3 x 3 x 3 x 3
Prime factors for 363 = 3 x 11 x 11
= (3 x 3 x 3 x 3 x 3) / (3 x 11 x 11)
♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡
step 3 solve & rewrite the fraction
= ( 3 x 3 x 3 x 3)/( 11 x 11)
= 81/121
♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡
Thus, 81/121 is the simplified fraction for 243/363 by using the prime factorization method.
hope this helps♡
xoxo