What is 2/5 plus 3/9 in fraction?
2/5 plus 3/9 equals to 11/15 in fraction form.
2/5 + 3/9 in fraction form
Learn how to find what is 2/5 plus 3/9 in fraction form just in a few minutes. We have covered the easiest method to write 2/5 + 3/9 as a fraction and decimal.
Summary: 2/5 plus 3/9
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 2/5 and 3/9 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 (2/5 x 45/45) + (3/9 x 45/45) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 33/45.
2/5+3/9 as a fraction
2/5 + 3/9 = (?)
2/5 + 3/9 = [(2 x 9) + (3 x 5)]/(5 x 9)
= (18 + 15)/45
= 33/45
= (3 x 11)/(3 x 15)
= 11/15
2/5 + 3/9 = 11/15
2/5 plus 3/9 as a fraction is 11/15.
where
2/5 is a fraction as an addend,
3/9 is a fraction as an addend,
11/15 is the sum of 2/5 and 3/9.
2/5 plus 3/9 as a decimal
2/5 + 3/9 = 11/15
11/15 = 0.7333
2/5+3/9 as a decimal is 0.7333
where
0.7333 is the sum of 2/5 and 3/9.
How to find 2/5+3/9 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 2/5 and 3/9 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/5 plus 3/9 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
2/5+3/9 using LCM Method:
What is 2/5 plus 3/9 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 3/9
What to be found?
2/5+3/9 = ?
Find what's the sum of 2/5 and 3/9.
step 2 Compare the denominators of fractions 2/5 and 3/9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/5 and 3/9 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 2/5 and 3/9:
The LCM of 5 and 9 is 45.
step 4 Write the fractions 2/5 and 3/9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=2/5+3/9
=(2 x 45)/(5 x 45)+(3 x 45)/(9 x 45)
step 5 Simplify the expression to have common denominator:
=18/45+15/45
step 6 Take the common values out and rewrite the above expression like the below:
=1/45 x (18/1+15/1)
=1/45 x (18 + 15)
step 7Simplify the above expression further:
=1/45 x 33
= 33/45
=11/15
2/5+3/9=11/15
Hence,
2/5 plus 3/9 equals to 11/15 in fraction.
2/5+3/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 3/9
What to be found?
2/5+3/9 = ?
Find what's the sum of 2/5 and 3/9.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 9), find the product of numerator of Fraction B and denominator of Fraction A (3 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:
= (2 x 9) + (3 x 5)/(5 x 9)
step 3 Simplify and rewrite the fraction:
= (18 + 15)/45
= 33/45
= 11/15
2/5+3/9 = 11/15
Hence,
2/5 plus 3/9 = 11/15