1/7 + 2/74 as a fraction

Learn how to find what is 1/7 plus 2/74 in fraction form just in a few minutes. We have covered the easiest method to write 1/7 + 2/74 as a fraction and decimal.

Summary: 1/7 plus 2/74 = 44/259
Since both fractions have unequal denominators, 1/7 plus 2/74 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/7 and fraction 2/74 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 74. 518 is the LCM of 7 and 74. Multiplying the LCM 518 with the numerators and denominators of both fractions (1/7 x 518/518) + (2/74 x 518/518), and simplify further in order to have the common denominator. So the equivalent fraction for 1/7 is 74/518 and for 2/74 is 14/518. By simplifying this fraction addition 74/518 + 14/518, it becomes 88/518.

Pie Chart Representation: 1/7 + 2/74 = 44/259

CALCULATION: 1/7 + 2/74 as a fraction
1/7 + 2/74 = (?)
1/7 + 2/74 = [(1 x 74) + (2 x 7)]/(7 x 74)
= (74 + 14)/518
= 88/518
= (2 x 44)/(2 x 259)
= 44/259
1/7 + 2/74 = 44/259
1/7 plus 2/74 as a fraction is 44/259.

where
1/7 is a proper fraction as an addend,
2/74 is a proper fraction as an addend,
44/259 is the sum of 1/7 and 2/74.

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1/7 plus 2/74 as a decimal
1/7 + 2/74 = 44/259
44/259 = 0.1699
(1/7) + (2/74) as a decimal is 0.1699

where
0.1699 is the sum of 1/7 and 2/74.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/7 and 2/74 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/7 plus 2/74 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/7) + (2/74) using LCM Method:
What is 1/7 plus 2/74 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 2/74

What to be found?
(1/7) + (2/74) = ?
Find what's the sum of 1/7 and 2/74.

step 2 Compare the denominators of fractions 1/7 and 2/74 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/7 and 2/74 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 1/7 and 2/74:
The LCM of 7 and 74 is 518.

step 4 Write the fractions 1/7 and 2/74 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/7 + 2/74
= [(1 x 518)/(7 x 518)] + [(2 x 518)/(74 x 518)]

step 5 Simplify the expression to have common denominator:
= 74/518 + 14/518

step 6 Take the common values out and rewrite the above expression like the below:
= 1/518 x (74/1 + 14/1)
= 1/518 x (74 + 14)

step 7Simplify the above expression further:
= 1/518 x 88
= 88/518
= 44/259
1/7 + 2/74 = 44/259

Hence,
1/7 plus 2/74 as a fraction is 44/259.

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1/7 + 2/74 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 2/74

What to be found?
(1/7)+(2/74) = ?
Find what's the sum of 1/7 and 2/74.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 74), find the product of numerator of Fraction B and denominator of Fraction A (2 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 74) and rewrite the equation as like the below:
= (1 x 74) + (2 x 7)/(7 x 74)

step 3 Simplify and rewrite the fraction:
= (74 + 14)/518
= 88/518
= 44/259
1/7 + 2/74 = 44/259

Hence,
1/7 plus 2/74 in fraction is 44/259