What is 118/10 simplified as a fraction?
118/10 in simplest form is 59/5.
Learn how to find what is 118/10 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 118/10 in simplest form.
To reduce 118/10 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 118/10 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 118 and 10 is 2. Dividing both the numerator and denominator by GCF, the fraction 118/10 becomes 59/5 which is the simplest form.
118/10 Simplified as a Fraction
Using Factorization:
118/10 = (?)
118/10 = (2 x 59)/(2 x 5) write 118/10 in terms of factors
= 59/5
118/10 = 59/5
118/10 simplified is 59/5
Using GCF
118/10 = (?)
GCF of 118 and 10 is 2.
118/10 = (118/2)/(10/2)
= 59/5
118/10 = 59/5
118/10 simplified is 59/5 in fraction form
where,
118/10 is the given fraction to be simplified,
59/5 is the lowest term of 118/10.
Notes: 118/10 simplified in lowest terms
1. 118/10 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 118 and 10 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 118/10 can be represented in its reduced form.
2. On the other hand, you can also reduce 118/10 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 118/10 becomes (2 x 59)/(2 x 5). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 118/10 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 118/10
what to be found:
118/10 = ?
Reduce 118/10 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 118/10.
Prime factors of 118 = 2 x 59
step 3 Find the prime factors of the denominator of given fraction 118/10.
Prime factors of 10 = 2 x 5
step 4 Rewrite the fraction 118/10 in the form of prime factors as like the below:
118/10= (2 x 59) / (2 x 5)
step 5 Check and reduce the factors of 118 and 10 if any factors in the numerator and denominator cancel each other:
= (2 x 59) / (2 x 5)
= ( 59)/( 5)
118/10 = 59/5
Hence,
118/10 in simplest form is 59/5.
118/10 simplified is 59/5, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 118/10 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 118/10 in its lowest terms.