What is 8/9 plus 8/10 in fraction?
8/9 plus 8/10 equals to 76/45 in fraction form.
Learn how to find what is 8/9 plus 8/10 in fraction form just in a few minutes. We have covered the easiest method to write 8/9 + 8/10 as a fraction and decimal.
Summary: 8/9 plus 8/10
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 8/9 and 8/10 having identical denominators before starting adding the fractions. Find the LCM of denominators, 90 is the LCM of 9 and 10. Multiply the LCM 90 with all the numerators and denominators of both fractions (8/9 x 90/90) + (8/10 x 90/90) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 152/90.
The below workout with step by step calculation shows how to find the equivalent fraction between 8/9 and 8/10 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 8/9 plus 8/10 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
8/9+8/10 using LCM Method:
What is 8/9 plus 8/10 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/9
Fraction B: 8/10
What to be found?
8/9+8/10 = ?
Find what's the sum of 8/9 and 8/10.
step 2 Compare the denominators of fractions 8/9 and 8/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 8/9 and 8/10 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 8/9 and 8/10:
The LCM of 9 and 10 is 90.
step 4 Write the fractions 8/9 and 8/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=8/9+8/10
=(8 x 90)/(9 x 90)+(8 x 90)/(10 x 90)
step 5 Simplify the expression to have common denominator:
=80/90+72/90
step 6 Take the common values out and rewrite the above expression like the below:
=1/90 x (80/1+72/1)
=1/90 x (80 + 72)
step 7Simplify the above expression further:
=1/90 x 152
= 152/90
=76/45
8/9+8/10=76/45
Hence,
8/9 plus 8/10 equals to 76/45 in fraction.
8/9+8/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/9
Fraction B: 8/10
What to be found?
8/9+8/10 = ?
Find what's the sum of 8/9 and 8/10.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 10), find the product of numerator of Fraction B and denominator of Fraction A (8 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 10) and rewrite the equation as like the below:
= (8 x 10) + (8 x 9)/(9 x 10)
step 3 Simplify and rewrite the fraction:
= (80 + 72)/90
= 152/90
= 76/45
8/9+8/10 = 76/45
Hence,
8/9 plus 8/10 = 76/45