Learn how to find what is 105/130 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 105/130 in simplest form.

To reduce 105/130 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 105/130 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 105 and 130 is 5. Dividing both the numerator and denominator by GCF, the fraction 105/130 becomes 21/26 which is the simplest form.

105/130 Simplified as a Fraction
Using Factorization:
105/130 = (?)
105/130 = (3 x 5 x 7)/(2 x 5 x 13)      write 105/130 in terms of factors
= 21/26
105/130 = 21/26
105/130 simplified is 21/26

Using GCF
105/130 = (?)
GCF of 105 and 130 is 5.
105/130 = (105/5)/(130/5)
= 21/26
105/130 = 21/26
105/130 simplified is 21/26 in fraction form
where,
105/130 is the given fraction to be simplified,
21/26 is the lowest term of 105/130.

Notes: 105/130 simplified in lowest terms
1. 105/130 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 105 and 130 is 5 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 105/130 can be represented in its reduced form.
2. On the other hand, you can also reduce 105/130 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 105/130 becomes (3 x 5 x 7)/(2 x 5 x 13). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 105/130 in its lowest terms.

To reduce fractions other than 105/130, use this below tool:

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