What is 8/5 plus 5/4 in fraction?
8/5 plus 5/4 equals to 57/20 in fraction form.
Learn how to find what is 8/5 plus 5/4 in fraction form just in a few minutes. We have covered the easiest method to write 8/5 + 5/4 as a fraction and decimal.
Summary: 8/5 plus 5/4
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 8/5 and 5/4 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 (8/5 x 20/20) + (5/4 x 20/20) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 57/20.
The below workout with step by step calculation shows how to find the equivalent fraction between 8/5 and 5/4 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 8/5 plus 5/4 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
8/5+5/4 using LCM Method:
What is 8/5 plus 5/4 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/5
Fraction B: 5/4
What to be found?
8/5+5/4 = ?
Find what's the sum of 8/5 and 5/4.
step 2 Compare the denominators of fractions 8/5 and 5/4 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 8/5 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 8/5 and 5/4:
The LCM of 5 and 4 is 20.
step 4 Write the fractions 8/5 and 5/4 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=8/5+5/4
=(8 x 20)/(5 x 20)+(5 x 20)/(4 x 20)
step 5 Simplify the expression to have common denominator:
=32/20+25/20
step 6 Take the common values out and rewrite the above expression like the below:
=1/20 x (32/1+25/1)
=1/20 x (32 + 25)
step 7Simplify the above expression further:
=1/20 x 57
=57/20
8/5+5/4=57/20
Hence,
8/5 plus 5/4 equals to 57/20 in fraction.
8/5+5/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/5
Fraction B: 5/4
What to be found?
8/5+5/4 = ?
Find what's the sum of 8/5 and 5/4.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 4), find the product of numerator of Fraction B and denominator of Fraction A (5 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:
= (8 x 4) + (5 x 5)/(5 x 4)
step 3 Simplify and rewrite the fraction:
= (32 + 25)/20
8/5+5/4 = 57/20
Hence,
8/5 plus 5/4 = 57/20