What is 1/1 + 1/15 in fraction?
1/1 + 1/15 equals to 16/15 in fraction form.
Learn how to find what is 1/1 plus 1/15 in fraction form just in a few minutes. We have covered the easiest method to write 1/1 + 1/15 as a fraction and decimal.
Summary: 1/1 plus 1/15 = 16/15
Since both fractions have unequal denominators, 1/1 plus 1/15 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/1 and fraction 1/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 15. 15 is the LCM of 1 and 15. Multiplying the LCM 15 with the numerators and denominators of both fractions (1/1 x 15/15) + (1/15 x 15/15), and simplify further in order to have the common denominator. So the equivalent fraction for 1/1 is 15/15 and for 1/15 is 1/15. By simplifying this fraction addition 15/15 + 1/15, it becomes 16/15.
The below workout with step by step calculation shows how to find the equivalent fraction between 1/1 and 1/15 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/1 plus 1/15 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(1/1) + (1/15) using LCM Method:
What is 1/1 plus 1/15 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/1
Fraction B: 1/15
What to be found?
(1/1) + (1/15) = ?
Find what's the sum of 1/1 and 1/15.
step 2 Compare the denominators of fractions 1/1 and 1/15 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/1 and 1/15 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 1/15:
The LCM of 1 and 15 is 15.
step 4 Write the fractions 1/1 and 1/15 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/1 + 1/15
= [(1 x 15)/(1 x 15)] + [(1 x 15)/(15 x 15)]
step 5 Simplify the expression to have common denominator:
= 15/15 + 1/15
step 6 Take the common values out and rewrite the above expression like the below:
= 1/15 x (15/1 + 1/1)
= 1/15 x (15 + 1)
step 7Simplify the above expression further:
= 1/15 x 16
= 16/15
1/1 + 1/15 = 16/15
Hence,
1/1 plus 1/15 as a fraction is 16/15.
1/1 + 1/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/1
Fraction B: 1/15
What to be found?
(1/1)+(1/15) = ?
Find what's the sum of 1/1 and 1/15.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 15), 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 15) and rewrite the equation as like the below:
= (1 x 15) + (1 x 1)/(1 x 15)
step 3 Simplify and rewrite the fraction:
= (15 + 1)/15
1/1 + 1/15 = 16/15
Hence,
1/1 plus 1/15 in fraction is 16/15