What is 9/5 plus 3/4 in fraction?
9/5 plus 3/4 equals to 51/20 in fraction form.
Learn how to find what is 9/5 plus 3/4 in fraction form just in a few minutes. We have covered the easiest method to write 9/5 + 3/4 as a fraction and decimal.
Summary: 9/5 plus 3/4
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 9/5 and 3/4 having identical denominators before starting adding the fractions. Find the LCM of denominators, 20 is the LCM of 5 and 4. Multiply the LCM 20 with all the numerators and denominators of both fractions (9/5 x 20/20) + (3/4 x 20/20) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 51/20.
The below workout with step by step calculation shows how to find the equivalent fraction between 9/5 and 3/4 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 9/5 plus 3/4 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
9/5+3/4 using LCM Method:
What is 9/5 plus 3/4 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/5
Fraction B: 3/4
What to be found?
9/5+3/4 = ?
Find what's the sum of 9/5 and 3/4.
step 2 Compare the denominators of fractions 9/5 and 3/4 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 9/5 and 3/4 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 9/5 and 3/4:
The LCM of 5 and 4 is 20.
step 4 Write the fractions 9/5 and 3/4 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=9/5+3/4
=(9 x 20)/(5 x 20)+(3 x 20)/(4 x 20)
step 5 Simplify the expression to have common denominator:
=36/20+15/20
step 6 Take the common values out and rewrite the above expression like the below:
=1/20 x (36/1+15/1)
=1/20 x (36 + 15)
step 7Simplify the above expression further:
=1/20 x 51
=51/20
9/5+3/4=51/20
Hence,
9/5 plus 3/4 equals to 51/20 in fraction.
9/5+3/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/5
Fraction B: 3/4
What to be found?
9/5+3/4 = ?
Find what's the sum of 9/5 and 3/4.
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 (3 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 4) and rewrite the equation as like the below:
= (9 x 4) + (3 x 5)/(5 x 4)
step 3 Simplify and rewrite the fraction:
= (36 + 15)/20
9/5+3/4 = 51/20
Hence,
9/5 plus 3/4 = 51/20