simplify and reduce to standard form: (a) -15/35 × (27/-63 ÷ 81/14)
(b) (-2/-72 ÷ 4/9) ÷ -6/14
Answers
Answer:
getcalc.com's fraction simplification calculator to find what's a reduced or simplest form for 27/63 at its lowest terms. 3/7 is a simplified fraction for 27/63
The below workout with step by step calculation shows how to simplify the fraction 27/63 to its lowest term or simplest form. The below are the two methods used to convert the fraction to its lowest terms.
1. GCD or HCF method
2. Prime factorization method
GCD Method :
step 1 Address the formula, input parameters & values.
Input parameters & values:
The given fraction = 27/63
step 2 Find GCD (Greatest Common Factor) for both numerator & denominator.
The GCF for 27 & 63 is 9
step 3 divide the numerator & denominator by GCD 9 and rewrite the fraction
= (27/9) / (63/9)
= 3/7
Thus, 3/7 is the simplified fraction for 27/63 by using the GCD or HCF method.
Prime Factorization Method :
step 1 Address input parameters & values.
Input parameters & values:
The given fraction = 27/63
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 63 = 3 x 3 x 7
= (3 x 3 x 3) / (3 x 3 x 7)
step 3 solve & rewrite the fraction
= ( 3)/( 7)
= 3/7
Thus, 3/7 is the simplified fraction for 27/63 by using the prime factorization method.