What is 5/7 plus 2/11 in fraction?
5/7 plus 2/11 equals to 69/77 in fraction form.
Learn how to find what is 5/7 plus 2/11 in fraction form just in a few minutes. We have covered the easiest method to write 5/7 + 2/11 as a fraction and decimal.
Summary: 5/7 plus 2/11
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 5/7 and 2/11 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 (5/7 x 77/77) + (2/11 x 77/77) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 69/77.
The below workout with step by step calculation shows how to find the equivalent fraction between 5/7 and 2/11 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/7 plus 2/11 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
5/7+2/11 using LCM Method:
What is 5/7 plus 2/11 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/7
Fraction B: 2/11
What to be found?
5/7+2/11 = ?
Find what's the sum of 5/7 and 2/11.
step 2 Compare the denominators of fractions 5/7 and 2/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/7 and 2/11 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 5/7 and 2/11:
The LCM of 7 and 11 is 77.
step 4 Write the fractions 5/7 and 2/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=5/7+2/11
=(5 x 77)/(7 x 77)+(2 x 77)/(11 x 77)
step 5 Simplify the expression to have common denominator:
=55/77+14/77
step 6 Take the common values out and rewrite the above expression like the below:
=1/77 x (55/1+14/1)
=1/77 x (55 + 14)
step 7Simplify the above expression further:
=1/77 x 69
=69/77
5/7+2/11=69/77
Hence,
5/7 plus 2/11 equals to 69/77 in fraction.
5/7+2/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/7
Fraction B: 2/11
What to be found?
5/7+2/11 = ?
Find what's the sum of 5/7 and 2/11.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 11), find the product of numerator of Fraction B and denominator of Fraction A (2 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:
= (5 x 11) + (2 x 7)/(7 x 11)
step 3 Simplify and rewrite the fraction:
= (55 + 14)/77
5/7+2/11 = 69/77
Hence,
5/7 plus 2/11 = 69/77