2/7 + 1/39 as a fraction

Learn how to find what is 2/7 plus 1/39 in fraction form just in a few minutes. We have covered the easiest method to write 2/7 + 1/39 as a fraction and decimal.

Summary: 2/7 plus 1/39 = 85/273
Since both fractions have unequal denominators, 2/7 plus 1/39 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/7 and fraction 1/39 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 39. 273 is the LCM of 7 and 39. Multiplying the LCM 273 with the numerators and denominators of both fractions (2/7 x 273/273) + (1/39 x 273/273), and simplify further in order to have the common denominator. So the equivalent fraction for 2/7 is 78/273 and for 1/39 is 7/273. By simplifying this fraction addition 78/273 + 7/273, it becomes 85/273.

Pie Chart Representation: 2/7 + 1/39 = 85/273

CALCULATION: 2/7 + 1/39 as a fraction
2/7 + 1/39 = (?)
2/7 + 1/39 = [(2 x 39) + (1 x 7)]/(7 x 39)
= (78 + 7)/273
= 85/273
2/7 + 1/39 = 85/273
2/7 plus 1/39 as a fraction is 85/273.

where
2/7 is a proper fraction as an addend,
1/39 is a proper fraction as an addend,
85/273 is the sum of 2/7 and 1/39.

---

2/7 plus 1/39 as a decimal
2/7 + 1/39 = 85/273
85/273 = 0.3114
(2/7) + (1/39) as a decimal is 0.3114

where
0.3114 is the sum of 2/7 and 1/39.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/7 and 1/39 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/7 plus 1/39 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/7) + (1/39) using LCM Method:
What is 2/7 plus 1/39 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 1/39

What to be found?
(2/7) + (1/39) = ?
Find what's the sum of 2/7 and 1/39.

step 2 Compare the denominators of fractions 2/7 and 1/39 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/7 and 1/39 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 2/7 and 1/39:
The LCM of 7 and 39 is 273.

step 4 Write the fractions 2/7 and 1/39 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/7 + 1/39
= [(2 x 273)/(7 x 273)] + [(1 x 273)/(39 x 273)]

step 5 Simplify the expression to have common denominator:
= 78/273 + 7/273

step 6 Take the common values out and rewrite the above expression like the below:
= 1/273 x (78/1 + 7/1)
= 1/273 x (78 + 7)

step 7Simplify the above expression further:
= 1/273 x 85
= 85/273
2/7 + 1/39 = 85/273

Hence,
2/7 plus 1/39 as a fraction is 85/273.

---

2/7 + 1/39 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 1/39

What to be found?
(2/7)+(1/39) = ?
Find what's the sum of 2/7 and 1/39.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 39), find the product of numerator of Fraction B and denominator of Fraction A (1 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 39) and rewrite the equation as like the below:
= (2 x 39) + (1 x 7)/(7 x 39)

step 3 Simplify and rewrite the fraction:
= (78 + 7)/273
2/7 + 1/39 = 85/273

Hence,
2/7 plus 1/39 in fraction is 85/273