1/6 + 2/98 as a fraction

Learn how to find what is 1/6 plus 2/98 in fraction form just in a few minutes. We have covered the easiest method to write 1/6 + 2/98 as a fraction and decimal.

Summary: 1/6 plus 2/98 = 55/294
Since both fractions have unequal denominators, 1/6 plus 2/98 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/6 and fraction 2/98 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 98. 294 is the LCM of 6 and 98. Multiplying the LCM 294 with the numerators and denominators of both fractions (1/6 x 294/294) + (2/98 x 294/294), and simplify further in order to have the common denominator. So the equivalent fraction for 1/6 is 49/294 and for 2/98 is 6/294. By simplifying this fraction addition 49/294 + 6/294, it becomes 55/294.

Pie Chart Representation: 1/6 + 2/98 = 55/294

CALCULATION: 1/6 + 2/98 as a fraction
1/6 + 2/98 = (?)
1/6 + 2/98 = [(1 x 98) + (2 x 6)]/(6 x 98)
= (98 + 12)/588
= 110/588
= (2 x 55)/(2 x 294)
= 55/294
1/6 + 2/98 = 55/294
1/6 plus 2/98 as a fraction is 55/294.

where
1/6 is a proper fraction as an addend,
2/98 is a proper fraction as an addend,
55/294 is the sum of 1/6 and 2/98.

---

1/6 plus 2/98 as a decimal
1/6 + 2/98 = 55/294
55/294 = 0.1871
(1/6) + (2/98) as a decimal is 0.1871

where
0.1871 is the sum of 1/6 and 2/98.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/6 and 2/98 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/6 plus 2/98 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/6) + (2/98) using LCM Method:
What is 1/6 plus 2/98 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/98

What to be found?
(1/6) + (2/98) = ?
Find what's the sum of 1/6 and 2/98.

step 2 Compare the denominators of fractions 1/6 and 2/98 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/6 and 2/98 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 2/98:
The LCM of 6 and 98 is 294.

step 4 Write the fractions 1/6 and 2/98 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/6 + 2/98
= [(1 x 294)/(6 x 294)] + [(2 x 294)/(98 x 294)]

step 5 Simplify the expression to have common denominator:
= 49/294 + 6/294

step 6 Take the common values out and rewrite the above expression like the below:
= 1/294 x (49/1 + 6/1)
= 1/294 x (49 + 6)

step 7Simplify the above expression further:
= 1/294 x 55
= 55/294
1/6 + 2/98 = 55/294

Hence,
1/6 plus 2/98 as a fraction is 55/294.

---

1/6 + 2/98 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/98

What to be found?
(1/6)+(2/98) = ?
Find what's the sum of 1/6 and 2/98.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 98), 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 98) and rewrite the equation as like the below:
= (1 x 98) + (2 x 6)/(6 x 98)

step 3 Simplify and rewrite the fraction:
= (98 + 12)/588
= 110/588
= 55/294
1/6 + 2/98 = 55/294

Hence,
1/6 plus 2/98 in fraction is 55/294