# 4/9 plus 1/6 as a fraction 4/9 + 1/6 as a fraction provides the detailed information about what is 4/9 plus 1/6 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

4/9+1/6 equals to
4/9 + 1/6 = (?)
4/9 + 1/6 = [(4 x 6) + (1 x 9)]/(9 x 6)
= (24 + 9)/54
= 33/54
= (3 x 11)/(3 x 18)
= 11/18
4/9 + 1/6 = 11/18
4/9 plus 1/6 is equal to 11/18

where
4/9 is a fraction as an addend,
1/6 is a fraction as an addend,
11/18 is the sum of 4/9 and 1/6.

4/9 plus 1/6 as a decimal
4/9 + 1/6 = 11/18
11/18 = 0.6111
4/9+1/6 as a decimal is 0.6111
where
0.6111 is the sum of 4/9 and 1/6.

For values other than 4/9 plus 1/6, use this below tool:

## How-to: 4/9 + 1/6 = ?

The below workout with step by step calculation shows how to find what is 4/9 plus 1/6 in simplest form by using the following methods:
1. LCM method,
2. Cross multiplication method.

Problem and Workout - LCM Method:
What is 4/9 plus 1/6 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/9
Fraction B: 1/6

What to be found?
4/9+1/6 = ?
Find what's the sum of 4/9 and 1/6.

step 2 Compare the denominators of fractions 4/9 and 1/6 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 4/9 and 1/6 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 4/9 and 1/6:
The LCM of 9 and 6 is 18.

step 4 Write the fractions 4/9 and 1/6 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=4/9+1/6
=(4 x 18)/(9 x 18)+(1 x 18)/(6 x 18)

step 5 Simplify the expression to have common denominator:
=8/18+3/18

step 6 Take the common values out and rewrite the above expression like the below:
=1/18 x (8/1+3/1)
=1/18 x (8 + 3)

step 7Simplify the above expression further:
=1/18 x 11
=11/18
4/9+1/6=11/18

Hence,
4/9 plus 1/6 equals to 11/18 in fraction.

Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/9
Fraction B: 1/6

What to be found?
4/9+1/6 = ?
Find what's the sum of 4/9 and 1/6.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (4 x 6), 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 6) and rewrite the equation as like the below:
= (4 x 6) + (1 x 9)/(9 x 6)

step 3 Simplify and rewrite the fraction:
= (24 + 9)/54
= 33/54
= 11/18
4/9+1/6 = 11/18
Hence,
4/9 plus 1/6 = 11/18 