What is 9/5 plus 3/2 in fraction?
9/5 plus 3/2 equals to 33/10 in fraction form.
Learn how to find what is 9/5 plus 3/2 in fraction form just in a few minutes. We have covered the easiest method to write 9/5 + 3/2 as a fraction and decimal.
Summary: 9/5 plus 3/2
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 9/5 and 3/2 having identical denominators before starting adding the fractions. Find the LCM of denominators, 10 is the LCM of 5 and 2. Multiply the LCM 10 with all the numerators and denominators of both fractions (9/5 x 10/10) + (3/2 x 10/10) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 33/10.
The below workout with step by step calculation shows how to find the equivalent fraction between 9/5 and 3/2 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 9/5 plus 3/2 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
9/5+3/2 using LCM Method:
What is 9/5 plus 3/2 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/5
Fraction B: 3/2
What to be found?
9/5+3/2 = ?
Find what's the sum of 9/5 and 3/2.
step 2 Compare the denominators of fractions 9/5 and 3/2 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 9/5 and 3/2 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 9/5 and 3/2:
The LCM of 5 and 2 is 10.
step 4 Write the fractions 9/5 and 3/2 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=9/5+3/2
=(9 x 10)/(5 x 10)+(3 x 10)/(2 x 10)
step 5 Simplify the expression to have common denominator:
=18/10+15/10
step 6 Take the common values out and rewrite the above expression like the below:
=1/10 x (18/1+15/1)
=1/10 x (18 + 15)
step 7Simplify the above expression further:
=1/10 x 33
=33/10
9/5+3/2=33/10
Hence,
9/5 plus 3/2 equals to 33/10 in fraction.
9/5+3/2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/5
Fraction B: 3/2
What to be found?
9/5+3/2 = ?
Find what's the sum of 9/5 and 3/2.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 2), 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 2) and rewrite the equation as like the below:
= (9 x 2) + (3 x 5)/(5 x 2)
step 3 Simplify and rewrite the fraction:
= (18 + 15)/10
9/5+3/2 = 33/10
Hence,
9/5 plus 3/2 = 33/10