What is 5/10 plus 4/9 in fraction?
5/10 plus 4/9 equals to 17/18 in fraction form.
5/10 + 4/9 in fraction form
Learn how to find what is 5/10 plus 4/9 in fraction form just in a few minutes. We have covered the easiest method to write 5/10 + 4/9 as a fraction and decimal.
Summary: 5/10 plus 4/9
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 5/10 and 4/9 having identical denominators before starting adding the fractions. Find the LCM of denominators, 90 is the LCM of 10 and 9. Multiply the LCM 90 with all the numerators and denominators of both fractions (5/10 x 90/90) + (4/9 x 90/90) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 85/90.
5/10+4/9 as a fraction
5/10 + 4/9 = (?)
5/10 + 4/9 = [(5 x 9) + (4 x 10)]/(10 x 9)
= (45 + 40)/90
= 85/90
= (5 x 17)/(5 x 18)
= 17/18
5/10 + 4/9 = 17/18
5/10 plus 4/9 as a fraction is 17/18.
where
5/10 is a fraction as an addend,
4/9 is a fraction as an addend,
17/18 is the sum of 5/10 and 4/9.
5/10 plus 4/9 as a decimal
5/10 + 4/9 = 17/18
17/18 = 0.9444
5/10+4/9 as a decimal is 0.9444
where
0.9444 is the sum of 5/10 and 4/9.
How to find 5/10+4/9 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 5/10 and 4/9 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/10 plus 4/9 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
5/10+4/9 using LCM Method:
What is 5/10 plus 4/9 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/10
Fraction B: 4/9
What to be found?
5/10+4/9 = ?
Find what's the sum of 5/10 and 4/9.
step 2 Compare the denominators of fractions 5/10 and 4/9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/10 and 4/9 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 5/10 and 4/9:
The LCM of 10 and 9 is 90.
step 4 Write the fractions 5/10 and 4/9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=5/10+4/9
=(5 x 90)/(10 x 90)+(4 x 90)/(9 x 90)
step 5 Simplify the expression to have common denominator:
=45/90+40/90
step 6 Take the common values out and rewrite the above expression like the below:
=1/90 x (45/1+40/1)
=1/90 x (45 + 40)
step 7Simplify the above expression further:
=1/90 x 85
= 85/90
=17/18
5/10+4/9=17/18
Hence,
5/10 plus 4/9 equals to 17/18 in fraction.
5/10+4/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/10
Fraction B: 4/9
What to be found?
5/10+4/9 = ?
Find what's the sum of 5/10 and 4/9.
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 (4 x 10), and find the product of both denominators of Fraction A and Fraction B (10 x 9) and rewrite the equation as like the below:
= (5 x 9) + (4 x 10)/(10 x 9)
step 3 Simplify and rewrite the fraction:
= (45 + 40)/90
= 85/90
= 17/18
5/10+4/9 = 17/18
Hence,
5/10 plus 4/9 = 17/18