The below workout with step by step calculation shows how to find the equivalent fraction between 6/10 and 5/9 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 6/10 plus 5/9 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
6/10+5/9 using LCM Method:
What is 6/10 plus 5/9 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/10
Fraction B: 5/9
What to be found?
6/10+5/9 = ?
Find what's the sum of 6/10 and 5/9.
step 2 Compare the denominators of fractions 6/10 and 5/9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 6/10 and 5/9 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 6/10 and 5/9:
The LCM of 10 and 9 is 90.
step 4 Write the fractions 6/10 and 5/9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=6/10+5/9
=(6 x 90)/(10 x 90)+(5 x 90)/(9 x 90)
step 5 Simplify the expression to have common denominator:
=54/90+50/90
step 6 Take the common values out and rewrite the above expression like the below:
=1/90 x (54/1+50/1)
=1/90 x (54 + 50)
step 7Simplify the above expression further:
=1/90 x 104
= 104/90
=52/45
6/10+5/9=52/45
Hence,
6/10 plus 5/9 equals to 52/45 in fraction.
6/10+5/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/10
Fraction B: 5/9
What to be found?
6/10+5/9 = ?
Find what's the sum of 6/10 and 5/9.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (6 x 9), find the product of numerator of Fraction B and denominator of Fraction A (5 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:
= (6 x 9) + (5 x 10)/(10 x 9)
step 3 Simplify and rewrite the fraction:
= (54 + 50)/90
= 104/90
= 52/45
6/10+5/9 = 52/45
Hence,
6/10 plus 5/9 = 52/45