What is 9/6 plus 5/4 in fraction?
9/6 plus 5/4 equals to 11/4 in fraction form.
Learn how to find what is 9/6 plus 5/4 in fraction form just in a few minutes. We have covered the easiest method to write 9/6 + 5/4 as a fraction and decimal.
Summary: 9/6 plus 5/4
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 9/6 and 5/4 having identical denominators before starting adding the fractions. Find the LCM of denominators, 12 is the LCM of 6 and 4. Multiply the LCM 12 with all the numerators and denominators of both fractions (9/6 x 12/12) + (5/4 x 12/12) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 33/12.
The below workout with step by step calculation shows how to find the equivalent fraction between 9/6 and 5/4 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 9/6 plus 5/4 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
9/6+5/4 using LCM Method:
What is 9/6 plus 5/4 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/6
Fraction B: 5/4
What to be found?
9/6+5/4 = ?
Find what's the sum of 9/6 and 5/4.
step 2 Compare the denominators of fractions 9/6 and 5/4 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 9/6 and 5/4 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 9/6 and 5/4:
The LCM of 6 and 4 is 12.
step 4 Write the fractions 9/6 and 5/4 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=9/6+5/4
=(9 x 12)/(6 x 12)+(5 x 12)/(4 x 12)
step 5 Simplify the expression to have common denominator:
=18/12+15/12
step 6 Take the common values out and rewrite the above expression like the below:
=1/12 x (18/1+15/1)
=1/12 x (18 + 15)
step 7Simplify the above expression further:
=1/12 x 33
= 33/12
=11/4
9/6+5/4=11/4
Hence,
9/6 plus 5/4 equals to 11/4 in fraction.
9/6+5/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/6
Fraction B: 5/4
What to be found?
9/6+5/4 = ?
Find what's the sum of 9/6 and 5/4.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 4), find the product of numerator of Fraction B and denominator of Fraction A (5 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 4) and rewrite the equation as like the below:
= (9 x 4) + (5 x 6)/(6 x 4)
step 3 Simplify and rewrite the fraction:
= (36 + 30)/24
= 66/24
= 11/4
9/6+5/4 = 11/4
Hence,
9/6 plus 5/4 = 11/4