find the 3 equivalent fraction of 64/120 using the division method
Answers
Answer:
GCD Method :
step 1 Address the formula, input parameters & values.
Input parameters & values:
The given fraction = 64/120
step 2 Find GCD (Greatest Common Factor) for both numerator & denominator.
The GCF for 64 & 120 is 8
step 3 divide the numerator & denominator by GCD 8 and rewrite the fraction
= (64/8) / (120/8)
= 8/15
Thus, 8/15 is the simplified fraction for 64/120 by using the GCD or HCF method.
Prime Factorization Method :
step 1 Address input parameters & values.
Input parameters & values:
The given fraction = 64/120
step 2 Find prime factors for both numerator & denominator and rewrite the fraction in the form of prime factors
Prime factors for 64 = 2 x 2 x 2 x 2 x 2 x 2
Prime factors for 120 = 2 x 2 x 2 x 3 x 5
= (2 x 2 x 2 x 2 x 2 x 2) / (2 x 2 x 2 x 3 x 5)
step 3 solve & rewrite the fraction
= ( 2 x 2 x 2)/( 3 x 5)
= 8/15
Thus, 8/15 is the simplified fraction for 64/120 by using the prime factorization method.
Chart
User may refer the below chart for simplest form of 64/120 and its nearest values.
Fraction Reduced Form Decimal Value
56
120
7
15
0.4667
56
128
7
16
0.4375
56
136
7
17
0.4118
64
120
8
15
0.5333
64
136
8
17
0.4706
72
112
9
14
0.6429
72
128
9
16
0.5625
72
136
9
17
0.5294
80
136
10
17
0.5882
88
112
11
14
0.7857
88
120
11
15
0.7333
88
128
11
16
0.6875
88
136
11
17
0.6471
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Step-by-step explanation:
To find 3 equalent fractions, just multiply it with same number 3 times or divide it with the same number. Please see below for more information.
64/120 dividing by 2,
(64/2 / 120/2) = 32/60
(32/2 / 60/2) = 16/30
(16/2 / 30/2) = 8/15
So here are the three equalent fractions,
- 32/60
- 16/30
- 8/15
All these three are equal to each other, for example 32/60 is same as 8/15.
When we convert 32/60 to its smallest form we get 8/18.