What is 1/5 plus 1/9 in fraction?
1/5 plus 1/9 equals to 14/45 in fraction form.
Learn how to find what is 1/5 plus 1/9 in fraction form just in a few minutes. We have covered the easiest method to write 1/5 + 1/9 as a fraction and decimal.
Summary: 1/5 plus 1/9
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/5 and 1/9 having identical denominators before starting adding the fractions. Find the LCM of denominators, 45 is the LCM of 5 and 9. Multiply the LCM 45 with all the numerators and denominators of both fractions (1/5 x 45/45) + (1/9 x 45/45) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 14/45.
The below workout with step by step calculation shows how to find the equivalent fraction between 1/5 and 1/9 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/5 plus 1/9 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/5+1/9 using LCM Method:
What is 1/5 plus 1/9 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 1/9
What to be found?
1/5+1/9 = ?
Find what's the sum of 1/5 and 1/9.
step 2 Compare the denominators of fractions 1/5 and 1/9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/5 and 1/9 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 1/5 and 1/9:
The LCM of 5 and 9 is 45.
step 4 Write the fractions 1/5 and 1/9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/5+1/9
=(1 x 45)/(5 x 45)+(1 x 45)/(9 x 45)
step 5 Simplify the expression to have common denominator:
=9/45+5/45
step 6 Take the common values out and rewrite the above expression like the below:
=1/45 x (9/1+5/1)
=1/45 x (9 + 5)
step 7Simplify the above expression further:
=1/45 x 14
=14/45
1/5+1/9=14/45
Hence,
1/5 plus 1/9 equals to 14/45 in fraction.
1/5+1/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 1/9
What to be found?
1/5+1/9 = ?
Find what's the sum of 1/5 and 1/9.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 9), find the product of numerator of Fraction B and denominator of Fraction A (1 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 9) and rewrite the equation as like the below:
= (1 x 9) + (1 x 5)/(5 x 9)
step 3 Simplify and rewrite the fraction:
= (9 + 5)/45
1/5+1/9 = 14/45
Hence,
1/5 plus 1/9 = 14/45