What is 9/6 plus 10/11 in fraction?
9/6 plus 10/11 equals to 53/22 in fraction form.
Learn how to find what is 9/6 plus 10/11 in fraction form just in a few minutes. We have covered the easiest method to write 9/6 + 10/11 as a fraction and decimal.
Summary: 9/6 plus 10/11
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 9/6 and 10/11 having identical denominators before starting adding the fractions. Find the LCM of denominators, 66 is the LCM of 6 and 11. Multiply the LCM 66 with all the numerators and denominators of both fractions (9/6 x 66/66) + (10/11 x 66/66) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 159/66.
The below workout with step by step calculation shows how to find the equivalent fraction between 9/6 and 10/11 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 9/6 plus 10/11 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
9/6+10/11 using LCM Method:
What is 9/6 plus 10/11 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/6
Fraction B: 10/11
What to be found?
9/6+10/11 = ?
Find what's the sum of 9/6 and 10/11.
step 2 Compare the denominators of fractions 9/6 and 10/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 9/6 and 10/11 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 9/6 and 10/11:
The LCM of 6 and 11 is 66.
step 4 Write the fractions 9/6 and 10/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=9/6+10/11
=(9 x 66)/(6 x 66)+(10 x 66)/(11 x 66)
step 5 Simplify the expression to have common denominator:
=99/66+60/66
step 6 Take the common values out and rewrite the above expression like the below:
=1/66 x (99/1+60/1)
=1/66 x (99 + 60)
step 7Simplify the above expression further:
=1/66 x 159
= 159/66
=53/22
9/6+10/11=53/22
Hence,
9/6 plus 10/11 equals to 53/22 in fraction.
9/6+10/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/6
Fraction B: 10/11
What to be found?
9/6+10/11 = ?
Find what's the sum of 9/6 and 10/11.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 11), find the product of numerator of Fraction B and denominator of Fraction A (10 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 11) and rewrite the equation as like the below:
= (9 x 11) + (10 x 6)/(6 x 11)
step 3 Simplify and rewrite the fraction:
= (99 + 60)/66
= 159/66
= 53/22
9/6+10/11 = 53/22
Hence,
9/6 plus 10/11 = 53/22