8/9 + 1/10 as a fraction

Learn how to find what is 8/9 plus 1/10 in fraction form just in a few minutes. We have covered the easiest method to write 8/9 + 1/10 as a fraction and decimal.

Summary: 8/9 plus 1/10 = 89/90
Since both fractions have unequal denominators, 8/9 plus 1/10 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 8/9 and fraction 1/10 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 10. 90 is the LCM of 9 and 10. Multiplying the LCM 90 with the numerators and denominators of both fractions (8/9 x 90/90) + (1/10 x 90/90), and simplify further in order to have the common denominator. So the equivalent fraction for 8/9 is 80/90 and for 1/10 is 9/90. By simplifying this fraction addition 80/90 + 9/90, it becomes 89/90.

Pie Chart Representation: 8/9 + 1/10 = 89/90

CALCULATION: 8/9 + 1/10 as a fraction
8/9 + 1/10 = (?)
8/9 + 1/10 = [(8 x 10) + (1 x 9)]/(9 x 10)
= (80 + 9)/90
= 89/90
8/9 + 1/10 = 89/90
8/9 plus 1/10 as a fraction is 89/90.

where
8/9 is a proper fraction as an addend,
1/10 is a proper fraction as an addend,
89/90 is the sum of 8/9 and 1/10.

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8/9 plus 1/10 as a decimal
8/9 + 1/10 = 89/90
89/90 = 0.9889
(8/9) + (1/10) as a decimal is 0.9889

where
0.9889 is the sum of 8/9 and 1/10.

The below workout with step by step calculation shows how to find the equivalent fraction between 8/9 and 1/10 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 8/9 plus 1/10 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(8/9) + (1/10) using LCM Method:
What is 8/9 plus 1/10 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/9
Fraction B: 1/10

What to be found?
(8/9) + (1/10) = ?
Find what's the sum of 8/9 and 1/10.

step 2 Compare the denominators of fractions 8/9 and 1/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 8/9 and 1/10 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 1/10:
The LCM of 9 and 10 is 90.

step 4 Write the fractions 8/9 and 1/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 8/9 + 1/10
= [(8 x 90)/(9 x 90)] + [(1 x 90)/(10 x 90)]

step 5 Simplify the expression to have common denominator:
= 80/90 + 9/90

step 6 Take the common values out and rewrite the above expression like the below:
= 1/90 x (80/1 + 9/1)
= 1/90 x (80 + 9)

step 7Simplify the above expression further:
= 1/90 x 89
= 89/90
8/9 + 1/10 = 89/90

Hence,
8/9 plus 1/10 as a fraction is 89/90.

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8/9 + 1/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/9
Fraction B: 1/10

What to be found?
(8/9)+(1/10) = ?
Find what's the sum of 8/9 and 1/10.

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 (1 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) + (1 x 9)/(9 x 10)

step 3 Simplify and rewrite the fraction:
= (80 + 9)/90
8/9 + 1/10 = 89/90

Hence,
8/9 plus 1/10 in fraction is 89/90