What is 5/9 plus 4/8 in fraction?
5/9 plus 4/8 equals to 19/18 in fraction form.
5/9 + 4/8 in fraction form
Learn how to find what is 5/9 plus 4/8 in fraction form just in a few minutes. We have covered the easiest method to write 5/9 + 4/8 as a fraction and decimal.
Summary: 5/9 plus 4/8
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 5/9 and 4/8 having identical denominators before starting adding the fractions. Find the LCM of denominators, 72 is the LCM of 9 and 8. Multiply the LCM 72 with all the numerators and denominators of both fractions (5/9 x 72/72) + (4/8 x 72/72) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 76/72.
5/9+4/8 as a fraction
5/9 + 4/8 = (?)
5/9 + 4/8 = [(5 x 8) + (4 x 9)]/(9 x 8)
= (40 + 36)/72
= 76/72
= (4 x 19)/(4 x 18)
= 19/18
5/9 + 4/8 = 19/18
5/9 plus 4/8 as a fraction is 19/18.
where
5/9 is a fraction as an addend,
4/8 is a fraction as an addend,
19/18 is the sum of 5/9 and 4/8.
5/9 plus 4/8 as a decimal
5/9 + 4/8 = 19/18
19/18 = 1.0556
5/9+4/8 as a decimal is 1.0556
where
1.0556 is the sum of 5/9 and 4/8.
How to find 5/9+4/8 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 5/9 and 4/8 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/9 plus 4/8 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
5/9+4/8 using LCM Method:
What is 5/9 plus 4/8 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/9
Fraction B: 4/8
What to be found?
5/9+4/8 = ?
Find what's the sum of 5/9 and 4/8.
step 2 Compare the denominators of fractions 5/9 and 4/8 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/9 and 4/8 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 5/9 and 4/8:
The LCM of 9 and 8 is 72.
step 4 Write the fractions 5/9 and 4/8 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=5/9+4/8
=(5 x 72)/(9 x 72)+(4 x 72)/(8 x 72)
step 5 Simplify the expression to have common denominator:
=40/72+36/72
step 6 Take the common values out and rewrite the above expression like the below:
=1/72 x (40/1+36/1)
=1/72 x (40 + 36)
step 7Simplify the above expression further:
=1/72 x 76
= 76/72
=19/18
5/9+4/8=19/18
Hence,
5/9 plus 4/8 equals to 19/18 in fraction.
5/9+4/8 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/9
Fraction B: 4/8
What to be found?
5/9+4/8 = ?
Find what's the sum of 5/9 and 4/8.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 8), find the product of numerator of Fraction B and denominator of Fraction A (4 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 8) and rewrite the equation as like the below:
= (5 x 8) + (4 x 9)/(9 x 8)
step 3 Simplify and rewrite the fraction:
= (40 + 36)/72
= 76/72
= 19/18
5/9+4/8 = 19/18
Hence,
5/9 plus 4/8 = 19/18