2/8 + 1/49 as a fraction

Learn how to find what is 2/8 plus 1/49 in fraction form just in a few minutes. We have covered the easiest method to write 2/8 + 1/49 as a fraction and decimal.

Summary: 2/8 plus 1/49 = 53/196
Since both fractions have unequal denominators, 2/8 plus 1/49 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/8 and fraction 1/49 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 49. 392 is the LCM of 8 and 49. Multiplying the LCM 392 with the numerators and denominators of both fractions (2/8 x 392/392) + (1/49 x 392/392), and simplify further in order to have the common denominator. So the equivalent fraction for 2/8 is 98/392 and for 1/49 is 8/392. By simplifying this fraction addition 98/392 + 8/392, it becomes 106/392.

Pie Chart Representation: 2/8 + 1/49 = 53/196

CALCULATION: 2/8 + 1/49 as a fraction
2/8 + 1/49 = (?)
2/8 + 1/49 = [(2 x 49) + (1 x 8)]/(8 x 49)
= (98 + 8)/392
= 106/392
= (2 x 53)/(2 x 196)
= 53/196
2/8 + 1/49 = 53/196
2/8 plus 1/49 as a fraction is 53/196.

where
2/8 is a proper fraction as an addend,
1/49 is a proper fraction as an addend,
53/196 is the sum of 2/8 and 1/49.

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2/8 plus 1/49 as a decimal
2/8 + 1/49 = 53/196
53/196 = 0.2704
(2/8) + (1/49) as a decimal is 0.2704

where
0.2704 is the sum of 2/8 and 1/49.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/8 and 1/49 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/8 plus 1/49 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/8) + (1/49) using LCM Method:
What is 2/8 plus 1/49 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/8
Fraction B: 1/49

What to be found?
(2/8) + (1/49) = ?
Find what's the sum of 2/8 and 1/49.

step 2 Compare the denominators of fractions 2/8 and 1/49 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/8 and 1/49 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 1/49:
The LCM of 8 and 49 is 392.

step 4 Write the fractions 2/8 and 1/49 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/8 + 1/49
= [(2 x 392)/(8 x 392)] + [(1 x 392)/(49 x 392)]

step 5 Simplify the expression to have common denominator:
= 98/392 + 8/392

step 6 Take the common values out and rewrite the above expression like the below:
= 1/392 x (98/1 + 8/1)
= 1/392 x (98 + 8)

step 7Simplify the above expression further:
= 1/392 x 106
= 106/392
= 53/196
2/8 + 1/49 = 53/196

Hence,
2/8 plus 1/49 as a fraction is 53/196.

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2/8 + 1/49 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/8
Fraction B: 1/49

What to be found?
(2/8)+(1/49) = ?
Find what's the sum of 2/8 and 1/49.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 49), 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 49) and rewrite the equation as like the below:
= (2 x 49) + (1 x 8)/(8 x 49)

step 3 Simplify and rewrite the fraction:
= (98 + 8)/392
= 106/392
= 53/196
2/8 + 1/49 = 53/196

Hence,
2/8 plus 1/49 in fraction is 53/196