What is 3/2 plus 2/3 in fraction?
3/2 plus 2/3 equals to 13/6 in fraction form.
3/2 + 2/3 in fraction form
Learn how to find what is 3/2 plus 2/3 in fraction form just in a few minutes. We have covered the easiest method to write 3/2 + 2/3 as a fraction and decimal.
Summary: 3/2 plus 2/3
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 3/2 and 2/3 having identical denominators before starting adding the fractions. Find the LCM of denominators, 6 is the LCM of 2 and 3. Multiply the LCM 6 with all the numerators and denominators of both fractions (3/2 x 6/6) + (2/3 x 6/6) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 13/6.
3/2+2/3 as a fraction
3/2 + 2/3 = (?)
3/2 + 2/3 = [(3 x 3) + (2 x 2)]/(2 x 3)
= (9 + 4)/6
= 13/6
3/2 + 2/3 = 13/6
3/2 plus 2/3 as a fraction is 13/6.
where
3/2 is a fraction as an addend,
2/3 is a fraction as an addend,
13/6 is the sum of 3/2 and 2/3.
3/2 plus 2/3 as a decimal
3/2 + 2/3 = 13/6
13/6 = 2.1667
3/2+2/3 as a decimal is 2.1667
where
2.1667 is the sum of 3/2 and 2/3.
How to find 3/2+2/3 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 3/2 and 2/3 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 3/2 plus 2/3 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
3/2+2/3 using LCM Method:
What is 3/2 plus 2/3 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/2
Fraction B: 2/3
What to be found?
3/2+2/3 = ?
Find what's the sum of 3/2 and 2/3.
step 2 Compare the denominators of fractions 3/2 and 2/3 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/2 and 2/3 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 3/2 and 2/3:
The LCM of 2 and 3 is 6.
step 4 Write the fractions 3/2 and 2/3 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/2+2/3
=(3 x 6)/(2 x 6)+(2 x 6)/(3 x 6)
step 5 Simplify the expression to have common denominator:
=9/6+4/6
step 6 Take the common values out and rewrite the above expression like the below:
=1/6 x (9/1+4/1)
=1/6 x (9 + 4)
step 7Simplify the above expression further:
=1/6 x 13
=13/6
3/2+2/3=13/6
Hence,
3/2 plus 2/3 equals to 13/6 in fraction.
3/2+2/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/2
Fraction B: 2/3
What to be found?
3/2+2/3 = ?
Find what's the sum of 3/2 and 2/3.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 3), find the product of numerator of Fraction B and denominator of Fraction A (2 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 3) and rewrite the equation as like the below:
= (3 x 3) + (2 x 2)/(2 x 3)
step 3 Simplify and rewrite the fraction:
= (9 + 4)/6
3/2+2/3 = 13/6
Hence,
3/2 plus 2/3 = 13/6