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