What is 3/4 plus 3/5 in fraction?
3/4 plus 3/5 equals to 27/20 in fraction form.
3/4 + 3/5 in fraction form
Learn how to find what is 3/4 plus 3/5 in fraction form just in a few minutes. We have covered the easiest method to write 3/4 + 3/5 as a fraction and decimal.
Summary: 3/4 plus 3/5
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 3/4 and 3/5 having identical denominators before starting adding the fractions. Find the LCM of denominators, 20 is the LCM of 4 and 5. Multiply the LCM 20 with all the numerators and denominators of both fractions (3/4 x 20/20) + (3/5 x 20/20) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 27/20.
3/4+3/5 as a fraction
3/4 + 3/5 = (?)
3/4 + 3/5 = [(3 x 5) + (3 x 4)]/(4 x 5)
= (15 + 12)/20
= 27/20
3/4 + 3/5 = 27/20
3/4 plus 3/5 as a fraction is 27/20.
where
3/4 is a fraction as an addend,
3/5 is a fraction as an addend,
27/20 is the sum of 3/4 and 3/5.
3/4 plus 3/5 as a decimal
3/4 + 3/5 = 27/20
27/20 = 1.35
3/4+3/5 as a decimal is 1.35
where
1.35 is the sum of 3/4 and 3/5.
How to find 3/4+3/5 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 3/4 and 3/5 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 3/4 plus 3/5 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
3/4+3/5 using LCM Method:
What is 3/4 plus 3/5 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/4
Fraction B: 3/5
What to be found?
3/4+3/5 = ?
Find what's the sum of 3/4 and 3/5.
step 2 Compare the denominators of fractions 3/4 and 3/5 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/4 and 3/5 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 3/4 and 3/5:
The LCM of 4 and 5 is 20.
step 4 Write the fractions 3/4 and 3/5 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/4+3/5
=(3 x 20)/(4 x 20)+(3 x 20)/(5 x 20)
step 5 Simplify the expression to have common denominator:
=15/20+12/20
step 6 Take the common values out and rewrite the above expression like the below:
=1/20 x (15/1+12/1)
=1/20 x (15 + 12)
step 7Simplify the above expression further:
=1/20 x 27
=27/20
3/4+3/5=27/20
Hence,
3/4 plus 3/5 equals to 27/20 in fraction.
3/4+3/5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/4
Fraction B: 3/5
What to be found?
3/4+3/5 = ?
Find what's the sum of 3/4 and 3/5.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 5), find the product of numerator of Fraction B and denominator of Fraction A (3 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 5) and rewrite the equation as like the below:
= (3 x 5) + (3 x 4)/(4 x 5)
step 3 Simplify and rewrite the fraction:
= (15 + 12)/20
3/4+3/5 = 27/20
Hence,
3/4 plus 3/5 = 27/20