1/1 + 1/45 as a fraction

Learn how to find what is 1/1 plus 1/45 in fraction form just in a few minutes. We have covered the easiest method to write 1/1 + 1/45 as a fraction and decimal.

Summary: 1/1 plus 1/45 = 46/45
Since both fractions have unequal denominators, 1/1 plus 1/45 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/1 and fraction 1/45 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 45. 45 is the LCM of 1 and 45. Multiplying the LCM 45 with the numerators and denominators of both fractions (1/1 x 45/45) + (1/45 x 45/45), and simplify further in order to have the common denominator. So the equivalent fraction for 1/1 is 45/45 and for 1/45 is 1/45. By simplifying this fraction addition 45/45 + 1/45, it becomes 46/45.

CALCULATION: 1/1 + 1/45 as a fraction
1/1 + 1/45 = (?)
1/1 + 1/45 = [(1 x 45) + (1 x 1)]/(1 x 45)
= (45 + 1)/45
= 46/45
1/1 + 1/45 = 46/45
1/1 plus 1/45 as a fraction is 46/45.

where
1/1 is a proper fraction as an addend,
1/45 is a proper fraction as an addend,
46/45 is the sum of 1/1 and 1/45.

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1/1 plus 1/45 as a decimal
1/1 + 1/45 = 46/45
46/45 = 1.0222
(1/1) + (1/45) as a decimal is 1.0222

where
1.0222 is the sum of 1/1 and 1/45.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/1 and 1/45 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/1 plus 1/45 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/1) + (1/45) using LCM Method:
What is 1/1 plus 1/45 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/1
Fraction B: 1/45

What to be found?
(1/1) + (1/45) = ?
Find what's the sum of 1/1 and 1/45.

step 2 Compare the denominators of fractions 1/1 and 1/45 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/1 and 1/45 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 1/45:
The LCM of 1 and 45 is 45.

step 4 Write the fractions 1/1 and 1/45 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/1 + 1/45
= [(1 x 45)/(1 x 45)] + [(1 x 45)/(45 x 45)]

step 5 Simplify the expression to have common denominator:
= 45/45 + 1/45

step 6 Take the common values out and rewrite the above expression like the below:
= 1/45 x (45/1 + 1/1)
= 1/45 x (45 + 1)

step 7Simplify the above expression further:
= 1/45 x 46
= 46/45
1/1 + 1/45 = 46/45

Hence,
1/1 plus 1/45 as a fraction is 46/45.

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1/1 + 1/45 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/1
Fraction B: 1/45

What to be found?
(1/1)+(1/45) = ?
Find what's the sum of 1/1 and 1/45.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 45), 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 45) and rewrite the equation as like the below:
= (1 x 45) + (1 x 1)/(1 x 45)

step 3 Simplify and rewrite the fraction:
= (45 + 1)/45
1/1 + 1/45 = 46/45

Hence,
1/1 plus 1/45 in fraction is 46/45