What is 2/3 plus 5/8 in fraction?
2/3 plus 5/8 equals to 31/24 in fraction form.
Learn how to find what is 2/3 plus 5/8 in fraction form just in a few minutes. We have covered the easiest method to write 2/3 + 5/8 as a fraction and decimal.
Summary: 2/3 plus 5/8
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 2/3 and 5/8 having identical denominators before starting adding the fractions. Find the LCM of denominators, 24 is the LCM of 3 and 8. Multiply the LCM 24 with all the numerators and denominators of both fractions (2/3 x 24/24) + (5/8 x 24/24) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 31/24.
The below workout with step by step calculation shows how to find the equivalent fraction between 2/3 and 5/8 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/3 plus 5/8 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
2/3+5/8 using LCM Method:
What is 2/3 plus 5/8 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 5/8
What to be found?
2/3+5/8 = ?
Find what's the sum of 2/3 and 5/8.
step 2 Compare the denominators of fractions 2/3 and 5/8 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/3 and 5/8 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 2/3 and 5/8:
The LCM of 3 and 8 is 24.
step 4 Write the fractions 2/3 and 5/8 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=2/3+5/8
=(2 x 24)/(3 x 24)+(5 x 24)/(8 x 24)
step 5 Simplify the expression to have common denominator:
=16/24+15/24
step 6 Take the common values out and rewrite the above expression like the below:
=1/24 x (16/1+15/1)
=1/24 x (16 + 15)
step 7Simplify the above expression further:
=1/24 x 31
=31/24
2/3+5/8=31/24
Hence,
2/3 plus 5/8 equals to 31/24 in fraction.
2/3+5/8 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 5/8
What to be found?
2/3+5/8 = ?
Find what's the sum of 2/3 and 5/8.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 8), find the product of numerator of Fraction B and denominator of Fraction A (5 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 8) and rewrite the equation as like the below:
= (2 x 8) + (5 x 3)/(3 x 8)
step 3 Simplify and rewrite the fraction:
= (16 + 15)/24
2/3+5/8 = 31/24
Hence,
2/3 plus 5/8 = 31/24