What is 5/8 plus 2/9 in fraction?
5/8 plus 2/9 equals to 61/72 in fraction form.
Learn how to find what is 5/8 plus 2/9 in fraction form just in a few minutes. We have covered the easiest method to write 5/8 + 2/9 as a fraction and decimal.
Summary: 5/8 plus 2/9
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 5/8 and 2/9 having identical denominators before starting adding the fractions. Find the LCM of denominators, 72 is the LCM of 8 and 9. Multiply the LCM 72 with all the numerators and denominators of both fractions (5/8 x 72/72) + (2/9 x 72/72) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 61/72.
The below workout with step by step calculation shows how to find the equivalent fraction between 5/8 and 2/9 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/8 plus 2/9 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
5/8+2/9 using LCM Method:
What is 5/8 plus 2/9 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/8
Fraction B: 2/9
What to be found?
5/8+2/9 = ?
Find what's the sum of 5/8 and 2/9.
step 2 Compare the denominators of fractions 5/8 and 2/9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/8 and 2/9 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 2/9:
The LCM of 8 and 9 is 72.
step 4 Write the fractions 5/8 and 2/9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=5/8+2/9
=(5 x 72)/(8 x 72)+(2 x 72)/(9 x 72)
step 5 Simplify the expression to have common denominator:
=45/72+16/72
step 6 Take the common values out and rewrite the above expression like the below:
=1/72 x (45/1+16/1)
=1/72 x (45 + 16)
step 7Simplify the above expression further:
=1/72 x 61
=61/72
5/8+2/9=61/72
Hence,
5/8 plus 2/9 equals to 61/72 in fraction.
5/8+2/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/8
Fraction B: 2/9
What to be found?
5/8+2/9 = ?
Find what's the sum of 5/8 and 2/9.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 9), find the product of numerator of Fraction B and denominator of Fraction A (2 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 9) and rewrite the equation as like the below:
= (5 x 9) + (2 x 8)/(8 x 9)
step 3 Simplify and rewrite the fraction:
= (45 + 16)/72
5/8+2/9 = 61/72
Hence,
5/8 plus 2/9 = 61/72