What is 2/3 plus 3/5 in fraction?
2/3 plus 3/5 equals to 19/15 in fraction form.
Learn how to find what is 2/3 plus 3/5 in fraction form just in a few minutes. We have covered the easiest method to write 2/3 + 3/5 as a fraction and decimal.
Summary: 2/3 plus 3/5
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 2/3 and 3/5 having identical denominators before starting adding the fractions. Find the LCM of denominators, 15 is the LCM of 3 and 5. Multiply the LCM 15 with all the numerators and denominators of both fractions (2/3 x 15/15) + (3/5 x 15/15) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 19/15.
The below workout with step by step calculation shows how to find the equivalent fraction between 2/3 and 3/5 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/3 plus 3/5 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
2/3+3/5 using LCM Method:
What is 2/3 plus 3/5 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 3/5
What to be found?
2/3+3/5 = ?
Find what's the sum of 2/3 and 3/5.
step 2 Compare the denominators of fractions 2/3 and 3/5 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/3 and 3/5 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 2/3 and 3/5:
The LCM of 3 and 5 is 15.
step 4 Write the fractions 2/3 and 3/5 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=2/3+3/5
=(2 x 15)/(3 x 15)+(3 x 15)/(5 x 15)
step 5 Simplify the expression to have common denominator:
=10/15+9/15
step 6 Take the common values out and rewrite the above expression like the below:
=1/15 x (10/1+9/1)
=1/15 x (10 + 9)
step 7Simplify the above expression further:
=1/15 x 19
=19/15
2/3+3/5=19/15
Hence,
2/3 plus 3/5 equals to 19/15 in fraction.
2/3+3/5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 3/5
What to be found?
2/3+3/5 = ?
Find what's the sum of 2/3 and 3/5.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 5), find the product of numerator of Fraction B and denominator of Fraction A (3 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 5) and rewrite the equation as like the below:
= (2 x 5) + (3 x 3)/(3 x 5)
step 3 Simplify and rewrite the fraction:
= (10 + 9)/15
2/3+3/5 = 19/15
Hence,
2/3 plus 3/5 = 19/15