What is 3/7 plus 3/11 in fraction?
3/7 plus 3/11 equals to 54/77 in fraction form.
Learn how to find what is 3/7 plus 3/11 in fraction form just in a few minutes. We have covered the easiest method to write 3/7 + 3/11 as a fraction and decimal.
Summary: 3/7 plus 3/11
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 3/7 and 3/11 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 (3/7 x 77/77) + (3/11 x 77/77) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 54/77.
The below workout with step by step calculation shows how to find the equivalent fraction between 3/7 and 3/11 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 3/7 plus 3/11 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
3/7+3/11 using LCM Method:
What is 3/7 plus 3/11 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/7
Fraction B: 3/11
What to be found?
3/7+3/11 = ?
Find what's the sum of 3/7 and 3/11.
step 2 Compare the denominators of fractions 3/7 and 3/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/7 and 3/11 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 3/7 and 3/11:
The LCM of 7 and 11 is 77.
step 4 Write the fractions 3/7 and 3/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/7+3/11
=(3 x 77)/(7 x 77)+(3 x 77)/(11 x 77)
step 5 Simplify the expression to have common denominator:
=33/77+21/77
step 6 Take the common values out and rewrite the above expression like the below:
=1/77 x (33/1+21/1)
=1/77 x (33 + 21)
step 7Simplify the above expression further:
=1/77 x 54
=54/77
3/7+3/11=54/77
Hence,
3/7 plus 3/11 equals to 54/77 in fraction.
3/7+3/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/7
Fraction B: 3/11
What to be found?
3/7+3/11 = ?
Find what's the sum of 3/7 and 3/11.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 11), find the product of numerator of Fraction B and denominator of Fraction A (3 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:
= (3 x 11) + (3 x 7)/(7 x 11)
step 3 Simplify and rewrite the fraction:
= (33 + 21)/77
3/7+3/11 = 54/77
Hence,
3/7 plus 3/11 = 54/77