What is 1/8 plus 1/9 in fraction?

1/8 plus 1/9 equals to 17/72 in fraction form.

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

Summary: __1/8 plus 1/9__

Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/8 and 1/9 having identical denominators before starting adding the fractions. Find the LCM of denominators, 72 is the LCM of 8 and 9. Multiply the LCM 72 with all the numerators and denominators of both fractions (1/8 x 72/72) + (1/9 x 72/72) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 17/72.

1/8 + 1/9 = (?)

1/8 + 1/9 = [(1 x 9) + (1 x 8)]/(8 x 9)

= (9 + 8)/72

= 17/72

1/8 + 1/9 = 17/72

1/8 is a fraction as an addend,

1/9 is a fraction as an addend,

17/72 is the sum of 1/8 and 1/9.

1/8 + 1/9 = 17/72

17/72 = 0.2361

1/8+1/9 as a decimal is 0.2361

0.2361 is the sum of 1/8 and 1/9.

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

1. LCM method

2. Cross multiplication method.

**1/8+1/9 using LCM Method:**

What is 1/8 plus 1/9 as a fraction?

step 1 Observe the input parameters and what to be found:__Input:__

Fraction A: 1/8

Fraction B: 1/9__What to be found?__

1/8+1/9 = ?

Find what's the sum of 1/8 and 1/9.

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

The LCM of 8 and 9 is 72.

step 4 Write the fractions 1/8 and 1/9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.

=1/8+1/9

=(1 x 72)/(8 x 72)+(1 x 72)/(9 x 72)

step 5 Simplify the expression to have common denominator:

=9/72+8/72

step 6 Take the common values out and rewrite the above expression like the below:

=1/72 x (9/1+8/1)

=1/72 x (9 + 8)

step 7Simplify the above expression further:

=1/72 x 17

=17/72

1/8+1/9=17/72

Hence,

1/8 plus 1/9 equals to **17/72** in fraction.

**1/8+1/9 using Cross Multiplication Method:**

step 1 Observe the input parameters and what to be found:__Input:__

Fraction A: 1/8

Fraction B: 1/9__What to be found?__

1/8+1/9 = ?

Find what's the sum of 1/8 and 1/9.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 9), find the product of numerator of Fraction B and denominator of Fraction A (1 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 9) and rewrite the equation as like the below:

= (1 x 9) + (1 x 8)/(8 x 9)

step 3 Simplify and rewrite the fraction:

= (9 + 8)/72

1/8+1/9 = 17/72

Hence,

1/8 plus 1/9 = **17/72**