shortest form of 225 by 1000 step by step please tell and by which
Answers
Answer:
9/40
Step-by-step explanation:
225/1000
divide by 5
45/200
divide by 5
9/40
thus ur answer
Answer:
225/1000
Step-by-Step Explanation:
GCD Method :
step 1 Address the formula, input parameters & values.
Input parameters & values:
The given fraction = 225/1000
step 2 Find GCD (Greatest Common Factor) for both numerator & denominator.
The GCF for 225 & 1000 is 25
step 3 divide the numerator & denominator by GCD 25 and rewrite the fraction
= (225/25) / (1000/25)
= 9/40
Thus, 9/40 is the simplified fraction for 225/1000 by using the GCD or HCF method.
Prime Factorization Method :
step 1 Address input parameters & values.
Input parameters & values:
The given fraction = 225/1000
step 2 Find prime factors for both numerator & denominator and rewrite the fraction in the form of prime factors
Prime factors for 225 = 3 x 3 x 5 x 5
Prime factors for 1000 = 2 x 2 x 2 x 5 x 5 x 5
= (3 x 3 x 5 x 5) / (2 x 2 x 2 x 5 x 5 x 5)
step 3 solve & rewrite the fraction
= (3 x 3 )/(2 x 2 x 2 x 5)
= 9/40
Thus, 9/40 is the simplified fraction for 225/1000 by using the prime factorization method.