2/8 + 1/33 as a fraction

Learn how to find what is 2/8 plus 1/33 in fraction form just in a few minutes. We have covered the easiest method to write 2/8 + 1/33 as a fraction and decimal.

Summary: 2/8 plus 1/33 = 37/132
Since both fractions have unequal denominators, 2/8 plus 1/33 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/8 and fraction 1/33 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 33. 264 is the LCM of 8 and 33. Multiplying the LCM 264 with the numerators and denominators of both fractions (2/8 x 264/264) + (1/33 x 264/264), and simplify further in order to have the common denominator. So the equivalent fraction for 2/8 is 66/264 and for 1/33 is 8/264. By simplifying this fraction addition 66/264 + 8/264, it becomes 74/264.

Pie Chart Representation: 2/8 + 1/33 = 37/132

CALCULATION: 2/8 + 1/33 as a fraction
2/8 + 1/33 = (?)
2/8 + 1/33 = [(2 x 33) + (1 x 8)]/(8 x 33)
= (66 + 8)/264
= 74/264
= (2 x 37)/(2 x 132)
= 37/132
2/8 + 1/33 = 37/132
2/8 plus 1/33 as a fraction is 37/132.

where
2/8 is a proper fraction as an addend,
1/33 is a proper fraction as an addend,
37/132 is the sum of 2/8 and 1/33.

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2/8 plus 1/33 as a decimal
2/8 + 1/33 = 37/132
37/132 = 0.2803
(2/8) + (1/33) as a decimal is 0.2803

where
0.2803 is the sum of 2/8 and 1/33.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/8 and 1/33 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/8 plus 1/33 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/8) + (1/33) using LCM Method:
What is 2/8 plus 1/33 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/8
Fraction B: 1/33

What to be found?
(2/8) + (1/33) = ?
Find what's the sum of 2/8 and 1/33.

step 2 Compare the denominators of fractions 2/8 and 1/33 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/8 and 1/33 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 2/8 and 1/33:
The LCM of 8 and 33 is 264.

step 4 Write the fractions 2/8 and 1/33 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/8 + 1/33
= [(2 x 264)/(8 x 264)] + [(1 x 264)/(33 x 264)]

step 5 Simplify the expression to have common denominator:
= 66/264 + 8/264

step 6 Take the common values out and rewrite the above expression like the below:
= 1/264 x (66/1 + 8/1)
= 1/264 x (66 + 8)

step 7Simplify the above expression further:
= 1/264 x 74
= 74/264
= 37/132
2/8 + 1/33 = 37/132

Hence,
2/8 plus 1/33 as a fraction is 37/132.

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2/8 + 1/33 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/8
Fraction B: 1/33

What to be found?
(2/8)+(1/33) = ?
Find what's the sum of 2/8 and 1/33.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 33), find the product of numerator of Fraction B and denominator of Fraction A (1 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 33) and rewrite the equation as like the below:
= (2 x 33) + (1 x 8)/(8 x 33)

step 3 Simplify and rewrite the fraction:
= (66 + 8)/264
= 74/264
= 37/132
2/8 + 1/33 = 37/132

Hence,
2/8 plus 1/33 in fraction is 37/132