What is 5/3 plus 4/5 in fraction?
5/3 plus 4/5 equals to 37/15 in fraction form.
Learn how to find what is 5/3 plus 4/5 in fraction form just in a few minutes. We have covered the easiest method to write 5/3 + 4/5 as a fraction and decimal.
Summary: 5/3 plus 4/5
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 5/3 and 4/5 having identical denominators before starting adding the fractions. Find the LCM of denominators, 15 is the LCM of 3 and 5. Multiply the LCM 15 with all the numerators and denominators of both fractions (5/3 x 15/15) + (4/5 x 15/15) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 37/15.
The below workout with step by step calculation shows how to find the equivalent fraction between 5/3 and 4/5 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/3 plus 4/5 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
5/3+4/5 using LCM Method:
What is 5/3 plus 4/5 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/3
Fraction B: 4/5
What to be found?
5/3+4/5 = ?
Find what's the sum of 5/3 and 4/5.
step 2 Compare the denominators of fractions 5/3 and 4/5 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/3 and 4/5 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 5/3 and 4/5:
The LCM of 3 and 5 is 15.
step 4 Write the fractions 5/3 and 4/5 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=5/3+4/5
=(5 x 15)/(3 x 15)+(4 x 15)/(5 x 15)
step 5 Simplify the expression to have common denominator:
=25/15+12/15
step 6 Take the common values out and rewrite the above expression like the below:
=1/15 x (25/1+12/1)
=1/15 x (25 + 12)
step 7Simplify the above expression further:
=1/15 x 37
=37/15
5/3+4/5=37/15
Hence,
5/3 plus 4/5 equals to 37/15 in fraction.
5/3+4/5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/3
Fraction B: 4/5
What to be found?
5/3+4/5 = ?
Find what's the sum of 5/3 and 4/5.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 5), find the product of numerator of Fraction B and denominator of Fraction A (4 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 5) and rewrite the equation as like the below:
= (5 x 5) + (4 x 3)/(3 x 5)
step 3 Simplify and rewrite the fraction:
= (25 + 12)/15
5/3+4/5 = 37/15
Hence,
5/3 plus 4/5 = 37/15