1/7 + 2/52 as a fraction

Learn how to find what is 1/7 plus 2/52 in fraction form just in a few minutes. We have covered the easiest method to write 1/7 + 2/52 as a fraction and decimal.

Summary: 1/7 plus 2/52 = 33/182
Since both fractions have unequal denominators, 1/7 plus 2/52 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/7 and fraction 2/52 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 52. 364 is the LCM of 7 and 52. Multiplying the LCM 364 with the numerators and denominators of both fractions (1/7 x 364/364) + (2/52 x 364/364), and simplify further in order to have the common denominator. So the equivalent fraction for 1/7 is 52/364 and for 2/52 is 14/364. By simplifying this fraction addition 52/364 + 14/364, it becomes 66/364.

Pie Chart Representation: 1/7 + 2/52 = 33/182

CALCULATION: 1/7 + 2/52 as a fraction
1/7 + 2/52 = (?)
1/7 + 2/52 = [(1 x 52) + (2 x 7)]/(7 x 52)
= (52 + 14)/364
= 66/364
= (2 x 33)/(2 x 182)
= 33/182
1/7 + 2/52 = 33/182
1/7 plus 2/52 as a fraction is 33/182.

where
1/7 is a proper fraction as an addend,
2/52 is a proper fraction as an addend,
33/182 is the sum of 1/7 and 2/52.

---

1/7 plus 2/52 as a decimal
1/7 + 2/52 = 33/182
33/182 = 0.1813
(1/7) + (2/52) as a decimal is 0.1813

where
0.1813 is the sum of 1/7 and 2/52.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/7 and 2/52 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/7 plus 2/52 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/7) + (2/52) using LCM Method:
What is 1/7 plus 2/52 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 2/52

What to be found?
(1/7) + (2/52) = ?
Find what's the sum of 1/7 and 2/52.

step 2 Compare the denominators of fractions 1/7 and 2/52 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/7 and 2/52 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 2/52:
The LCM of 7 and 52 is 364.

step 4 Write the fractions 1/7 and 2/52 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/7 + 2/52
= [(1 x 364)/(7 x 364)] + [(2 x 364)/(52 x 364)]

step 5 Simplify the expression to have common denominator:
= 52/364 + 14/364

step 6 Take the common values out and rewrite the above expression like the below:
= 1/364 x (52/1 + 14/1)
= 1/364 x (52 + 14)

step 7Simplify the above expression further:
= 1/364 x 66
= 66/364
= 33/182
1/7 + 2/52 = 33/182

Hence,
1/7 plus 2/52 as a fraction is 33/182.

---

1/7 + 2/52 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 2/52

What to be found?
(1/7)+(2/52) = ?
Find what's the sum of 1/7 and 2/52.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 52), 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 52) and rewrite the equation as like the below:
= (1 x 52) + (2 x 7)/(7 x 52)

step 3 Simplify and rewrite the fraction:
= (52 + 14)/364
= 66/364
= 33/182
1/7 + 2/52 = 33/182

Hence,
1/7 plus 2/52 in fraction is 33/182