What is 2/7 + 1/97 in fraction?
2/7 + 1/97 equals to 201/679 in fraction form.
Learn how to find what is 2/7 plus 1/97 in fraction form just in a few minutes. We have covered the easiest method to write 2/7 + 1/97 as a fraction and decimal.
Summary: 2/7 plus 1/97 = 201/679
Since both fractions have unequal denominators, 2/7 plus 1/97 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/7 and fraction 1/97 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 97. 679 is the LCM of 7 and 97. Multiplying the LCM 679 with the numerators and denominators of both fractions (2/7 x 679/679) + (1/97 x 679/679), and simplify further in order to have the common denominator. So the equivalent fraction for 2/7 is 194/679 and for 1/97 is 7/679. By simplifying this fraction addition 194/679 + 7/679, it becomes 201/679.
Pie Chart Representation: 2/7 + 1/97 = 201/679
The below workout with step by step calculation shows how to find the equivalent fraction between 2/7 and 1/97 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/7 plus 1/97 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(2/7) + (1/97) using LCM Method:
What is 2/7 plus 1/97 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 1/97
What to be found?
(2/7) + (1/97) = ?
Find what's the sum of 2/7 and 1/97.
step 2 Compare the denominators of fractions 2/7 and 1/97 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/7 and 1/97 are not equal, it is said to be unlike fractions addition.
step 3For unlike fractions addition, find the LCM (least common multiple) of both denominators of fractions 2/7 and 1/97:
The LCM of 7 and 97 is 679.
step 4 Write the fractions 2/7 and 1/97 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/7 + 1/97
= [(2 x 679)/(7 x 679)] + [(1 x 679)/(97 x 679)]
step 5 Simplify the expression to have common denominator:
= 194/679 + 7/679
step 6 Take the common values out and rewrite the above expression like the below:
= 1/679 x (194/1 + 7/1)
= 1/679 x (194 + 7)
step 7Simplify the above expression further:
= 1/679 x 201
= 201/679
2/7 + 1/97 = 201/679
Hence,
2/7 plus 1/97 as a fraction is 201/679.
2/7 + 1/97 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 1/97
What to be found?
(2/7)+(1/97) = ?
Find what's the sum of 2/7 and 1/97.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 97), find the product of numerator of Fraction B and denominator of Fraction A (1 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 97) and rewrite the equation as like the below:
= (2 x 97) + (1 x 7)/(7 x 97)
step 3 Simplify and rewrite the fraction:
= (194 + 7)/679
2/7 + 1/97 = 201/679
Hence,
2/7 plus 1/97 in fraction is 201/679