2/6 + 1/74 as a fraction

Learn how to find what is 2/6 plus 1/74 in fraction form just in a few minutes. We have covered the easiest method to write 2/6 + 1/74 as a fraction and decimal.

Summary: 2/6 plus 1/74 = 77/222
Since both fractions have unequal denominators, 2/6 plus 1/74 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/6 and fraction 1/74 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 74. 222 is the LCM of 6 and 74. Multiplying the LCM 222 with the numerators and denominators of both fractions (2/6 x 222/222) + (1/74 x 222/222), and simplify further in order to have the common denominator. So the equivalent fraction for 2/6 is 74/222 and for 1/74 is 3/222. By simplifying this fraction addition 74/222 + 3/222, it becomes 77/222.

Pie Chart Representation: 2/6 + 1/74 = 77/222

CALCULATION: 2/6 + 1/74 as a fraction
2/6 + 1/74 = (?)
2/6 + 1/74 = [(2 x 74) + (1 x 6)]/(6 x 74)
= (148 + 6)/444
= 154/444
= (2 x 77)/(2 x 222)
= 77/222
2/6 + 1/74 = 77/222
2/6 plus 1/74 as a fraction is 77/222.

where
2/6 is a proper fraction as an addend,
1/74 is a proper fraction as an addend,
77/222 is the sum of 2/6 and 1/74.

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2/6 plus 1/74 as a decimal
2/6 + 1/74 = 77/222
77/222 = 0.3468
(2/6) + (1/74) as a decimal is 0.3468

where
0.3468 is the sum of 2/6 and 1/74.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/6 and 1/74 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/6 plus 1/74 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/6) + (1/74) using LCM Method:
What is 2/6 plus 1/74 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/6
Fraction B: 1/74

What to be found?
(2/6) + (1/74) = ?
Find what's the sum of 2/6 and 1/74.

step 2 Compare the denominators of fractions 2/6 and 1/74 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/6 and 1/74 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 2/6 and 1/74:
The LCM of 6 and 74 is 222.

step 4 Write the fractions 2/6 and 1/74 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/6 + 1/74
= [(2 x 222)/(6 x 222)] + [(1 x 222)/(74 x 222)]

step 5 Simplify the expression to have common denominator:
= 74/222 + 3/222

step 6 Take the common values out and rewrite the above expression like the below:
= 1/222 x (74/1 + 3/1)
= 1/222 x (74 + 3)

step 7Simplify the above expression further:
= 1/222 x 77
= 77/222
2/6 + 1/74 = 77/222

Hence,
2/6 plus 1/74 as a fraction is 77/222.

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2/6 + 1/74 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/6
Fraction B: 1/74

What to be found?
(2/6)+(1/74) = ?
Find what's the sum of 2/6 and 1/74.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 74), find the product of numerator of Fraction B and denominator of Fraction A (1 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 74) and rewrite the equation as like the below:
= (2 x 74) + (1 x 6)/(6 x 74)

step 3 Simplify and rewrite the fraction:
= (148 + 6)/444
= 154/444
= 77/222
2/6 + 1/74 = 77/222

Hence,
2/6 plus 1/74 in fraction is 77/222