What is 1/1 + 1/83 in fraction?
1/1 + 1/83 equals to 84/83 in fraction form.
Learn how to find what is 1/1 plus 1/83 in fraction form just in a few minutes. We have covered the easiest method to write 1/1 + 1/83 as a fraction and decimal.
Summary: 1/1 plus 1/83 = 84/83
Since both fractions have unequal denominators, 1/1 plus 1/83 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/1 and fraction 1/83 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 83. 83 is the LCM of 1 and 83. Multiplying the LCM 83 with the numerators and denominators of both fractions (1/1 x 83/83) + (1/83 x 83/83), and simplify further in order to have the common denominator. So the equivalent fraction for 1/1 is 83/83 and for 1/83 is 1/83. By simplifying this fraction addition 83/83 + 1/83, it becomes 84/83.
The below workout with step by step calculation shows how to find the equivalent fraction between 1/1 and 1/83 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/1 plus 1/83 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(1/1) + (1/83) using LCM Method:
What is 1/1 plus 1/83 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/1
Fraction B: 1/83
What to be found?
(1/1) + (1/83) = ?
Find what's the sum of 1/1 and 1/83.
step 2 Compare the denominators of fractions 1/1 and 1/83 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/1 and 1/83 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 1/83:
The LCM of 1 and 83 is 83.
step 4 Write the fractions 1/1 and 1/83 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/1 + 1/83
= [(1 x 83)/(1 x 83)] + [(1 x 83)/(83 x 83)]
step 5 Simplify the expression to have common denominator:
= 83/83 + 1/83
step 6 Take the common values out and rewrite the above expression like the below:
= 1/83 x (83/1 + 1/1)
= 1/83 x (83 + 1)
step 7Simplify the above expression further:
= 1/83 x 84
= 84/83
1/1 + 1/83 = 84/83
Hence,
1/1 plus 1/83 as a fraction is 84/83.
1/1 + 1/83 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/1
Fraction B: 1/83
What to be found?
(1/1)+(1/83) = ?
Find what's the sum of 1/1 and 1/83.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 83), 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 83) and rewrite the equation as like the below:
= (1 x 83) + (1 x 1)/(1 x 83)
step 3 Simplify and rewrite the fraction:
= (83 + 1)/83
1/1 + 1/83 = 84/83
Hence,
1/1 plus 1/83 in fraction is 84/83