What is 1/1 + 2/26 in fraction?
1/1 + 2/26 equals to 14/13 in fraction form.
Learn how to find what is 1/1 plus 2/26 in fraction form just in a few minutes. We have covered the easiest method to write 1/1 + 2/26 as a fraction and decimal.
Summary: 1/1 plus 2/26 = 14/13
Since both fractions have unequal denominators, 1/1 plus 2/26 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/1 and fraction 2/26 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 26. 26 is the LCM of 1 and 26. Multiplying the LCM 26 with the numerators and denominators of both fractions (1/1 x 26/26) + (2/26 x 26/26), and simplify further in order to have the common denominator. So the equivalent fraction for 1/1 is 26/26 and for 2/26 is 2/26. By simplifying this fraction addition 26/26 + 2/26, it becomes 28/26.
The below workout with step by step calculation shows how to find the equivalent fraction between 1/1 and 2/26 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/1 plus 2/26 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(1/1) + (2/26) using LCM Method:
What is 1/1 plus 2/26 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/1
Fraction B: 2/26
What to be found?
(1/1) + (2/26) = ?
Find what's the sum of 1/1 and 2/26.
step 2 Compare the denominators of fractions 1/1 and 2/26 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/1 and 2/26 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 1/1 and 2/26:
The LCM of 1 and 26 is 26.
step 4 Write the fractions 1/1 and 2/26 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/1 + 2/26
= [(1 x 26)/(1 x 26)] + [(2 x 26)/(26 x 26)]
step 5 Simplify the expression to have common denominator:
= 26/26 + 2/26
step 6 Take the common values out and rewrite the above expression like the below:
= 1/26 x (26/1 + 2/1)
= 1/26 x (26 + 2)
step 7Simplify the above expression further:
= 1/26 x 28
= 28/26
= 14/13
1/1 + 2/26 = 14/13
Hence,
1/1 plus 2/26 as a fraction is 14/13.
1/1 + 2/26 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/1
Fraction B: 2/26
What to be found?
(1/1)+(2/26) = ?
Find what's the sum of 1/1 and 2/26.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 26), find the product of numerator of Fraction B and denominator of Fraction A (2 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 26) and rewrite the equation as like the below:
= (1 x 26) + (2 x 1)/(1 x 26)
step 3 Simplify and rewrite the fraction:
= (26 + 2)/26
= 28/26
= 14/13
1/1 + 2/26 = 14/13
Hence,
1/1 plus 2/26 in fraction is 14/13