Question

Reduce 128352/238368 its to its lowest terms​

Answer 1

answer is 7/13

explanation : Integer numbers prime factorization:

128,352 = 25 × 3 × 7 × 191;

238,368 = 25 × 3 × 13 × 191;

Multiply all the common prime factors, by the lowest exponents.

gcf, hcf, gcd (128,352; 238,368) = 25 × 3 × 191 = 18,336;

Calculate the greatest (highest) common factor (divisor), gcf, hcf, gcd

Divide both the numerator and the denominator by their greatest common factor.

128,352/238,368 =

(2(5power) × 3 × 7 × 191)/(2(5 power) × 3 × 13 × 191) =

((2(5power) × 3 × 7 × 191) ÷ (2(5power) × 3 × 191)) / ((2(5power) × 3 × 13 × 191) ÷ (2(5power) × 3 × 191)) = 7/13

Answer 2

Given:

A fraction 128352/238368.

To Find:

The lowest form of the given fraction.

Solution:

The given problem can be solved using factorization.

1. The given fraction is 128352/238368.

2. The numerator 128352 can be also written as,

=> 128352 = 2 x 64176,

=> 128352 = 2 x 2 x 32088,

=> 128352 = 2 x 2 x 2 x 16044,

=> 128352 = 2 x 2 x 2 x 2 x 8022,

=> 128352 = 2 x 2 x 2 x 2 x 2 x 4011,

=> 128352 = 2 x 2 x 2 x 2 x 2 x 3 x 1337,

=> 128352 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 191,

3. The denominator 238368 can be also written as,

=> 238368 = 2 x 119184,

=> 238368 = 2 x 2 x 59582,

=> 238368 = 2 x 2 x 2 x 29796,

=> 238368 = 2 x 2 x 2 x 2 x 14898,

=> 238368 = 2 x 2 x 2 x 2 x 2 x 7449,

=> 238368 = 2 x 2 x 2 x 2 x 2 x 3 x 2483,

=> 238368 = 2 x 2 x 2 x 2 x 2 x 3 x 13 x 191,

4. Write the given fraction as the above fraction forms,

=>$\frac{128352}{238368} = \frac{2*2*2*2*2*3*7*191}{2*2*2*2*2*3*13*191}$,

=> Remove the like factors by cancelling each other,

=> 128352/238368 = 7/13.

Therefore, the ratio of 128352/238368 is 7/13.