1/7 + 2/72 as a fraction

Learn how to find what is 1/7 plus 2/72 in fraction form just in a few minutes. We have covered the easiest method to write 1/7 + 2/72 as a fraction and decimal.

Summary: 1/7 plus 2/72 = 43/252
Since both fractions have unequal denominators, 1/7 plus 2/72 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/7 and fraction 2/72 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 72. 504 is the LCM of 7 and 72. Multiplying the LCM 504 with the numerators and denominators of both fractions (1/7 x 504/504) + (2/72 x 504/504), and simplify further in order to have the common denominator. So the equivalent fraction for 1/7 is 72/504 and for 2/72 is 14/504. By simplifying this fraction addition 72/504 + 14/504, it becomes 86/504.

Pie Chart Representation: 1/7 + 2/72 = 43/252

CALCULATION: 1/7 + 2/72 as a fraction
1/7 + 2/72 = (?)
1/7 + 2/72 = [(1 x 72) + (2 x 7)]/(7 x 72)
= (72 + 14)/504
= 86/504
= (2 x 43)/(2 x 252)
= 43/252
1/7 + 2/72 = 43/252
1/7 plus 2/72 as a fraction is 43/252.

where
1/7 is a proper fraction as an addend,
2/72 is a proper fraction as an addend,
43/252 is the sum of 1/7 and 2/72.

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1/7 plus 2/72 as a decimal
1/7 + 2/72 = 43/252
43/252 = 0.1706
(1/7) + (2/72) as a decimal is 0.1706

where
0.1706 is the sum of 1/7 and 2/72.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/7 and 2/72 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/7 plus 2/72 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/7) + (2/72) using LCM Method:
What is 1/7 plus 2/72 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 2/72

What to be found?
(1/7) + (2/72) = ?
Find what's the sum of 1/7 and 2/72.

step 2 Compare the denominators of fractions 1/7 and 2/72 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/7 and 2/72 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 2/72:
The LCM of 7 and 72 is 504.

step 4 Write the fractions 1/7 and 2/72 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/7 + 2/72
= [(1 x 504)/(7 x 504)] + [(2 x 504)/(72 x 504)]

step 5 Simplify the expression to have common denominator:
= 72/504 + 14/504

step 6 Take the common values out and rewrite the above expression like the below:
= 1/504 x (72/1 + 14/1)
= 1/504 x (72 + 14)

step 7Simplify the above expression further:
= 1/504 x 86
= 86/504
= 43/252
1/7 + 2/72 = 43/252

Hence,
1/7 plus 2/72 as a fraction is 43/252.

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1/7 + 2/72 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 2/72

What to be found?
(1/7)+(2/72) = ?
Find what's the sum of 1/7 and 2/72.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 72), 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 72) and rewrite the equation as like the below:
= (1 x 72) + (2 x 7)/(7 x 72)

step 3 Simplify and rewrite the fraction:
= (72 + 14)/504
= 86/504
= 43/252
1/7 + 2/72 = 43/252

Hence,
1/7 plus 2/72 in fraction is 43/252