What is 3/9 plus 1/6 in fraction?
3/9 plus 1/6 equals to 1/2 in fraction form.
3/9 + 1/6 in fraction form
Learn how to find what is 3/9 plus 1/6 in fraction form just in a few minutes. We have covered the easiest method to write 3/9 + 1/6 as a fraction and decimal.
Summary: 3/9 plus 1/6
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 3/9 and 1/6 having identical denominators before starting adding the fractions. Find the LCM of denominators, 18 is the LCM of 9 and 6. Multiply the LCM 18 with all the numerators and denominators of both fractions (3/9 x 18/18) + (1/6 x 18/18) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 9/18.
3/9+1/6 as a fraction
3/9 + 1/6 = (?)
3/9 + 1/6 = [(3 x 6) + (1 x 9)]/(9 x 6)
= (18 + 9)/54
= 27/54
= (27 x 1)/(27 x 2)
= 1/2
3/9 + 1/6 = 1/2
3/9 plus 1/6 as a fraction is 1/2.
where
3/9 is a fraction as an addend,
1/6 is a fraction as an addend,
1/2 is the sum of 3/9 and 1/6.
3/9 plus 1/6 as a decimal
3/9 + 1/6 = 1/2
1/2 = 0.5
3/9+1/6 as a decimal is 0.5
where
0.5 is the sum of 3/9 and 1/6.
How to find 3/9+1/6 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 3/9 and 1/6 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 3/9 plus 1/6 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
3/9+1/6 using LCM Method:
What is 3/9 plus 1/6 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/9
Fraction B: 1/6
What to be found?
3/9+1/6 = ?
Find what's the sum of 3/9 and 1/6.
step 2 Compare the denominators of fractions 3/9 and 1/6 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/9 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 3/9 and 1/6:
The LCM of 9 and 6 is 18.
step 4 Write the fractions 3/9 and 1/6 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/9+1/6
=(3 x 18)/(9 x 18)+(1 x 18)/(6 x 18)
step 5 Simplify the expression to have common denominator:
=6/18+3/18
step 6 Take the common values out and rewrite the above expression like the below:
=1/18 x (6/1+3/1)
=1/18 x (6 + 3)
step 7Simplify the above expression further:
=1/18 x 9
= 9/18
=1/2
3/9+1/6=1/2
Hence,
3/9 plus 1/6 equals to 1/2 in fraction.
3/9+1/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/9
Fraction B: 1/6
What to be found?
3/9+1/6 = ?
Find what's the sum of 3/9 and 1/6.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 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:
= (3 x 6) + (1 x 9)/(9 x 6)
step 3 Simplify and rewrite the fraction:
= (18 + 9)/54
= 27/54
= 1/2
3/9+1/6 = 1/2
Hence,
3/9 plus 1/6 = 1/2