1/1 + 1/31 as a fraction

Learn how to find what is 1/1 plus 1/31 in fraction form just in a few minutes. We have covered the easiest method to write 1/1 + 1/31 as a fraction and decimal.

Summary: 1/1 plus 1/31 = 32/31
Since both fractions have unequal denominators, 1/1 plus 1/31 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/1 and fraction 1/31 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 31. 31 is the LCM of 1 and 31. Multiplying the LCM 31 with the numerators and denominators of both fractions (1/1 x 31/31) + (1/31 x 31/31), and simplify further in order to have the common denominator. So the equivalent fraction for 1/1 is 31/31 and for 1/31 is 1/31. By simplifying this fraction addition 31/31 + 1/31, it becomes 32/31.

CALCULATION: 1/1 + 1/31 as a fraction
1/1 + 1/31 = (?)
1/1 + 1/31 = [(1 x 31) + (1 x 1)]/(1 x 31)
= (31 + 1)/31
= 32/31
1/1 + 1/31 = 32/31
1/1 plus 1/31 as a fraction is 32/31.

where
1/1 is a proper fraction as an addend,
1/31 is a proper fraction as an addend,
32/31 is the sum of 1/1 and 1/31.

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1/1 plus 1/31 as a decimal
1/1 + 1/31 = 32/31
32/31 = 1.0323
(1/1) + (1/31) as a decimal is 1.0323

where
1.0323 is the sum of 1/1 and 1/31.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/1 and 1/31 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/1 plus 1/31 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/1) + (1/31) using LCM Method:
What is 1/1 plus 1/31 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/1
Fraction B: 1/31

What to be found?
(1/1) + (1/31) = ?
Find what's the sum of 1/1 and 1/31.

step 2 Compare the denominators of fractions 1/1 and 1/31 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/1 and 1/31 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 1/1 and 1/31:
The LCM of 1 and 31 is 31.

step 4 Write the fractions 1/1 and 1/31 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/1 + 1/31
= [(1 x 31)/(1 x 31)] + [(1 x 31)/(31 x 31)]

step 5 Simplify the expression to have common denominator:
= 31/31 + 1/31

step 6 Take the common values out and rewrite the above expression like the below:
= 1/31 x (31/1 + 1/1)
= 1/31 x (31 + 1)

step 7Simplify the above expression further:
= 1/31 x 32
= 32/31
1/1 + 1/31 = 32/31

Hence,
1/1 plus 1/31 as a fraction is 32/31.

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1/1 + 1/31 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/1
Fraction B: 1/31

What to be found?
(1/1)+(1/31) = ?
Find what's the sum of 1/1 and 1/31.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 31), find the product of numerator of Fraction B and denominator of Fraction A (1 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 31) and rewrite the equation as like the below:
= (1 x 31) + (1 x 1)/(1 x 31)

step 3 Simplify and rewrite the fraction:
= (31 + 1)/31
1/1 + 1/31 = 32/31

Hence,
1/1 plus 1/31 in fraction is 32/31