750/175 Simplified

Learn how to find what is 750/175 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 750/175 in simplest form.

To reduce 750/175 in its lowest terms, you must be familiar with either how to find the greatest common factor or prime factors. Both of these methods are used to recognize if 750/175 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 750 and 175 is 25. Dividing both the numerator and denominator by GCF, the fraction 750/175 becomes 30/7 which is the simplest form.

750/175 Simplified as a Fraction
Using Factorization:
750/175 = (?)
750/175 = (2 x 3 x 5 x 5 x 5)/(5 x 5 x 7)      write 750/175 in terms of factors
= 30/7
750/175 = 30/7
750/175 simplified is 30/7

Using GCF
750/175 = (?)
GCF of 750 and 175 is 25.
750/175 = (750/25)/(175/25)
= 30/7
750/175 = 30/7
750/175 simplified is 30/7 in fraction form
where,
750/175 is the given fraction to be simplified,
30/7 is the lowest term of 750/175.

Notes: 750/175 simplified in lowest terms
1. 750/175 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 750 and 175 is 25 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 750/175 can be represented in its reduced form.
2. On the other hand, you can also reduce 750/175 in simplest form by using the factorization method. In this case, the numerator and denominator of fraction should be written in the form of prime factors, so the fraction 750/175 becomes (2 x 3 x 5 x 5 x 5)/(5 x 5 x 7). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 750/175 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 750/175

what to be found:
750/175 = ?
Reduce 750/175 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 750/175.
Prime factors of 750 = 2 x 3 x 5 x 5 x 5

step 3 Find the prime factors of the denominator of given fraction 750/175.
Prime factors of 175 = 5 x 5 x 7

step 4 Rewrite the fraction 750/175 in the form of prime factors as like the below:
750/175= (2 x 3 x 5 x 5 x 5) / (5 x 5 x 7)

step 5 Check and reduce the factors of 750 and 175 if any factors in the numerator and denominator cancel each other:
= (2 x 3 x 5 x 5 x 5) / (5 x 5 x 7)
= (2 x 3 x 5)/( 7)
750/175 = 30/7
Hence,
750/175 in simplest form is 30/7.

750/175 simplified is 30/7, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 750/175 to its simplest form involves the greatest common factor or factorization. Recognizing the GCF or prime factors of numerator and denominator of a fraction is key when you start reducing fractions like 750/175 in its lowest terms.