What is 2/7 + 1/57 in fraction?
2/7 + 1/57 equals to 121/399 in fraction form.
Learn how to find what is 2/7 plus 1/57 in fraction form just in a few minutes. We have covered the easiest method to write 2/7 + 1/57 as a fraction and decimal.
Summary: 2/7 plus 1/57 = 121/399
Since both fractions have unequal denominators, 2/7 plus 1/57 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/7 and fraction 1/57 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 57. 399 is the LCM of 7 and 57. Multiplying the LCM 399 with the numerators and denominators of both fractions (2/7 x 399/399) + (1/57 x 399/399), and simplify further in order to have the common denominator. So the equivalent fraction for 2/7 is 114/399 and for 1/57 is 7/399. By simplifying this fraction addition 114/399 + 7/399, it becomes 121/399.
Pie Chart Representation: 2/7 + 1/57 = 121/399
The below workout with step by step calculation shows how to find the equivalent fraction between 2/7 and 1/57 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/7 plus 1/57 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(2/7) + (1/57) using LCM Method:
What is 2/7 plus 1/57 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 1/57
What to be found?
(2/7) + (1/57) = ?
Find what's the sum of 2/7 and 1/57.
step 2 Compare the denominators of fractions 2/7 and 1/57 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/7 and 1/57 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 1/57:
The LCM of 7 and 57 is 399.
step 4 Write the fractions 2/7 and 1/57 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/7 + 1/57
= [(2 x 399)/(7 x 399)] + [(1 x 399)/(57 x 399)]
step 5 Simplify the expression to have common denominator:
= 114/399 + 7/399
step 6 Take the common values out and rewrite the above expression like the below:
= 1/399 x (114/1 + 7/1)
= 1/399 x (114 + 7)
step 7Simplify the above expression further:
= 1/399 x 121
= 121/399
2/7 + 1/57 = 121/399
Hence,
2/7 plus 1/57 as a fraction is 121/399.
2/7 + 1/57 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 1/57
What to be found?
(2/7)+(1/57) = ?
Find what's the sum of 2/7 and 1/57.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 57), 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 57) and rewrite the equation as like the below:
= (2 x 57) + (1 x 7)/(7 x 57)
step 3 Simplify and rewrite the fraction:
= (114 + 7)/399
2/7 + 1/57 = 121/399
Hence,
2/7 plus 1/57 in fraction is 121/399