1/8 + 2/51 as a fraction

Learn how to find what is 1/8 plus 2/51 in fraction form just in a few minutes. We have covered the easiest method to write 1/8 + 2/51 as a fraction and decimal.

Summary: 1/8 plus 2/51 = 67/408
Since both fractions have unequal denominators, 1/8 plus 2/51 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/8 and fraction 2/51 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 51. 408 is the LCM of 8 and 51. Multiplying the LCM 408 with the numerators and denominators of both fractions (1/8 x 408/408) + (2/51 x 408/408), and simplify further in order to have the common denominator. So the equivalent fraction for 1/8 is 51/408 and for 2/51 is 16/408. By simplifying this fraction addition 51/408 + 16/408, it becomes 67/408.

Pie Chart Representation: 1/8 + 2/51 = 67/408

CALCULATION: 1/8 + 2/51 as a fraction
1/8 + 2/51 = (?)
1/8 + 2/51 = [(1 x 51) + (2 x 8)]/(8 x 51)
= (51 + 16)/408
= 67/408
1/8 + 2/51 = 67/408
1/8 plus 2/51 as a fraction is 67/408.

where
1/8 is a proper fraction as an addend,
2/51 is a proper fraction as an addend,
67/408 is the sum of 1/8 and 2/51.

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1/8 plus 2/51 as a decimal
1/8 + 2/51 = 67/408
67/408 = 0.1642
(1/8) + (2/51) as a decimal is 0.1642

where
0.1642 is the sum of 1/8 and 2/51.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/8 and 2/51 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/8 plus 2/51 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/8) + (2/51) using LCM Method:
What is 1/8 plus 2/51 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/8
Fraction B: 2/51

What to be found?
(1/8) + (2/51) = ?
Find what's the sum of 1/8 and 2/51.

step 2 Compare the denominators of fractions 1/8 and 2/51 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/8 and 2/51 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 1/8 and 2/51:
The LCM of 8 and 51 is 408.

step 4 Write the fractions 1/8 and 2/51 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/8 + 2/51
= [(1 x 408)/(8 x 408)] + [(2 x 408)/(51 x 408)]

step 5 Simplify the expression to have common denominator:
= 51/408 + 16/408

step 6 Take the common values out and rewrite the above expression like the below:
= 1/408 x (51/1 + 16/1)
= 1/408 x (51 + 16)

step 7Simplify the above expression further:
= 1/408 x 67
= 67/408
1/8 + 2/51 = 67/408

Hence,
1/8 plus 2/51 as a fraction is 67/408.

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1/8 + 2/51 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/8
Fraction B: 2/51

What to be found?
(1/8)+(2/51) = ?
Find what's the sum of 1/8 and 2/51.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 51), find the product of numerator of Fraction B and denominator of Fraction A (2 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 51) and rewrite the equation as like the below:
= (1 x 51) + (2 x 8)/(8 x 51)

step 3 Simplify and rewrite the fraction:
= (51 + 16)/408
1/8 + 2/51 = 67/408

Hence,
1/8 plus 2/51 in fraction is 67/408