# 7/49 Simplified in Lowest Terms

7/49 simplified in lowest terms provides the detailed information of what is the simplest form of 7/49, and the answer with steps help students to understand how to simplify the fraction in simplest form.

**Simplify 7/49 in Lowest Terms**

7/49 = (?)

7/49 = (7)/(7 x 7)

= 1/7

7/49 = 1/7

The simplest form of 7/49 is 1/7__where,__

7/49 is the given fraction to be simplified,*1/7* is the lowest term of 7/49.

## How-to: Simplify 7/49 in Lowest Terms

The below solution with step by step work shows how to find what is the lowest term of 7/49. The fraction 7/49 simplified can be found by using anyone of the below two methods:

1. Prime factorization method,

2. GCF method.

__Prime Factorization Method :__

step 1 Observe the input parameters and what to be found:

__Input values:__

Fraction = 7/49

__what to be found__:

7/49 = ?

Find what is the lowest term of 7/49.

step 2 Find the prime factors of the numerator of given fraction 7/49.

Prime factors of 7 = 7

step 3 Find the prime factors of the denominator of given fraction 7/49.*Prime factors of 49* = 7 x 7

step 4 Rewrite the fraction 7/49 in the form of prime factors as like the below:

7/49= (7) / (7 x 7)

step 5 Check and cancel the factors of 7 and 49 if any factors in the numerator and denominator can be cancelled each other in the above fraction of prime factors:

= (7) / (7 x 7)

= (1)/( 7)

step 6 Simplify and rewrite the fraction as like the below:

= 1/7

7/49 = 1/7

Hence,

the simplest form of 7/49 is **1/7**.

__GCF Method :__

step 1 Observe the input parameters and what to be found:

__Input values:__

Fraction = 7/49

__what to be found__:

7/49 = ?

Find what is the lowest term of 7/49.

step 2 Find GCF (Greatest Common Factor) for both numerator and denominator of the fraction 7/49.

The GCF of 7 and 49 is 7.

step 3 Divide the numerator and denominator of the fraction 7/49 by GCF 7:

= (7/7)(49/7)

step 4 Simplify the above expression:

= (7/7)(49/7)

= 1/7

7/49 = 1/7

Hence, **1/7** is the simplified or lowest term of 7/49.