What is 5/8 plus 3/5 in fraction?
5/8 plus 3/5 equals to 49/40 in fraction form.
Learn how to find what is 5/8 plus 3/5 in fraction form just in a few minutes. We have covered the easiest method to write 5/8 + 3/5 as a fraction and decimal.
Summary: 5/8 plus 3/5
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 5/8 and 3/5 having identical denominators before starting adding the fractions. Find the LCM of denominators, 40 is the LCM of 8 and 5. Multiply the LCM 40 with all the numerators and denominators of both fractions (5/8 x 40/40) + (3/5 x 40/40) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 49/40.
The below workout with step by step calculation shows how to find the equivalent fraction between 5/8 and 3/5 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/8 plus 3/5 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
5/8+3/5 using LCM Method:
What is 5/8 plus 3/5 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/8
Fraction B: 3/5
What to be found?
5/8+3/5 = ?
Find what's the sum of 5/8 and 3/5.
step 2 Compare the denominators of fractions 5/8 and 3/5 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/8 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 5/8 and 3/5:
The LCM of 8 and 5 is 40.
step 4 Write the fractions 5/8 and 3/5 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=5/8+3/5
=(5 x 40)/(8 x 40)+(3 x 40)/(5 x 40)
step 5 Simplify the expression to have common denominator:
=25/40+24/40
step 6 Take the common values out and rewrite the above expression like the below:
=1/40 x (25/1+24/1)
=1/40 x (25 + 24)
step 7Simplify the above expression further:
=1/40 x 49
=49/40
5/8+3/5=49/40
Hence,
5/8 plus 3/5 equals to 49/40 in fraction.
5/8+3/5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/8
Fraction B: 3/5
What to be found?
5/8+3/5 = ?
Find what's the sum of 5/8 and 3/5.
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 (3 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 5) and rewrite the equation as like the below:
= (5 x 5) + (3 x 8)/(8 x 5)
step 3 Simplify and rewrite the fraction:
= (25 + 24)/40
5/8+3/5 = 49/40
Hence,
5/8 plus 3/5 = 49/40