What is 1/7 plus 1/11 in fraction?
1/7 plus 1/11 equals to 18/77 in fraction form.
Learn how to find what is 1/7 plus 1/11 in fraction form just in a few minutes. We have covered the easiest method to write 1/7 + 1/11 as a fraction and decimal.
Summary: 1/7 plus 1/11
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/7 and 1/11 having identical denominators before starting adding the fractions. Find the LCM of denominators, 77 is the LCM of 7 and 11. Multiply the LCM 77 with all the numerators and denominators of both fractions (1/7 x 77/77) + (1/11 x 77/77) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 18/77.
The below workout with step by step calculation shows how to find the equivalent fraction between 1/7 and 1/11 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/7 plus 1/11 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/7+1/11 using LCM Method:
What is 1/7 plus 1/11 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 1/11
What to be found?
1/7+1/11 = ?
Find what's the sum of 1/7 and 1/11.
step 2 Compare the denominators of fractions 1/7 and 1/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/7 and 1/11 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 1/7 and 1/11:
The LCM of 7 and 11 is 77.
step 4 Write the fractions 1/7 and 1/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/7+1/11
=(1 x 77)/(7 x 77)+(1 x 77)/(11 x 77)
step 5 Simplify the expression to have common denominator:
=11/77+7/77
step 6 Take the common values out and rewrite the above expression like the below:
=1/77 x (11/1+7/1)
=1/77 x (11 + 7)
step 7Simplify the above expression further:
=1/77 x 18
=18/77
1/7+1/11=18/77
Hence,
1/7 plus 1/11 equals to 18/77 in fraction.
1/7+1/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 1/11
What to be found?
1/7+1/11 = ?
Find what's the sum of 1/7 and 1/11.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 11), 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 11) and rewrite the equation as like the below:
= (1 x 11) + (1 x 7)/(7 x 11)
step 3 Simplify and rewrite the fraction:
= (11 + 7)/77
1/7+1/11 = 18/77
Hence,
1/7 plus 1/11 = 18/77