What is 1/6 + 2/44 in fraction?
1/6 + 2/44 equals to 7/33 in fraction form.
Learn how to find what is 1/6 plus 2/44 in fraction form just in a few minutes. We have covered the easiest method to write 1/6 + 2/44 as a fraction and decimal.
Summary: 1/6 plus 2/44 = 7/33
Since both fractions have unequal denominators, 1/6 plus 2/44 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/6 and fraction 2/44 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 44. 132 is the LCM of 6 and 44. Multiplying the LCM 132 with the numerators and denominators of both fractions (1/6 x 132/132) + (2/44 x 132/132), and simplify further in order to have the common denominator. So the equivalent fraction for 1/6 is 22/132 and for 2/44 is 6/132. By simplifying this fraction addition 22/132 + 6/132, it becomes 28/132.
Pie Chart Representation: 1/6 + 2/44 = 7/33
The below workout with step by step calculation shows how to find the equivalent fraction between 1/6 and 2/44 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/6 plus 2/44 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(1/6) + (2/44) using LCM Method:
What is 1/6 plus 2/44 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/44
What to be found?
(1/6) + (2/44) = ?
Find what's the sum of 1/6 and 2/44.
step 2 Compare the denominators of fractions 1/6 and 2/44 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/6 and 2/44 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 1/6 and 2/44:
The LCM of 6 and 44 is 132.
step 4 Write the fractions 1/6 and 2/44 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/6 + 2/44
= [(1 x 132)/(6 x 132)] + [(2 x 132)/(44 x 132)]
step 5 Simplify the expression to have common denominator:
= 22/132 + 6/132
step 6 Take the common values out and rewrite the above expression like the below:
= 1/132 x (22/1 + 6/1)
= 1/132 x (22 + 6)
step 7Simplify the above expression further:
= 1/132 x 28
= 28/132
= 7/33
1/6 + 2/44 = 7/33
Hence,
1/6 plus 2/44 as a fraction is 7/33.
1/6 + 2/44 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/44
What to be found?
(1/6)+(2/44) = ?
Find what's the sum of 1/6 and 2/44.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 44), find the product of numerator of Fraction B and denominator of Fraction A (2 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 44) and rewrite the equation as like the below:
= (1 x 44) + (2 x 6)/(6 x 44)
step 3 Simplify and rewrite the fraction:
= (44 + 12)/264
= 56/264
= 7/33
1/6 + 2/44 = 7/33
Hence,
1/6 plus 2/44 in fraction is 7/33