1/3 plus 2/9 as a fraction
1/3 + 2/9 as a fraction provides the detailed information about what is 1/3 plus 2/9 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
1/3+2/9 equals to
1/3 + 2/9 = (?)
1/3 + 2/9 = [(1 x 9) + (2 x 3)]/(3 x 9)
= (9 + 6)/27
= 15/27
= (3 x 5)/(3 x 9)
= 5/9
1/3 + 2/9 = 5/9
1/3 plus 2/9 is equal to 5/9
where
1/3 is a fraction as an addend,
2/9 is a fraction as an addend,
5/9 is the sum of 1/3 and 2/9.
1/3 plus 2/9 as a decimal
1/3 + 2/9 = 5/9
5/9 = 0.5556
1/3+2/9 as a decimal is 0.5556
where
0.5556 is the sum of 1/3 and 2/9.
How-to: 1/3 + 2/9 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 1/3 plus 2/9 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/9
What to be found?
1/3+2/9 = ?
Find what's the sum of 1/3 and 2/9.
step 2 Compare the denominators of fractions 1/3 and 2/9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/3 and 2/9 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 1/3 and 2/9:
The LCM of 3 and 9 is 9.
step 4 Write the fractions 1/3 and 2/9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/3+2/9
=(1 x 9)/(3 x 9)+(2 x 9)/(9 x 9)
step 5 Simplify the expression to have common denominator:
=3/9+2/9
step 6 Take the common values out and rewrite the above expression like the below:
=1/9 x (3/1+2/1)
=1/9 x (3 + 2)
step 7Simplify the above expression further:
=1/9 x 5
=5/9
1/3+2/9=5/9
Hence,
1/3 plus 2/9 equals to 5/9 in fraction.
Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/9
What to be found?
1/3+2/9 = ?
Find what's the sum of 1/3 and 2/9.
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 (2 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 9) and rewrite the equation as like the below:
= (1 x 9) + (2 x 3)/(3 x 9)
step 3 Simplify and rewrite the fraction:
= (9 + 6)/27
= 15/27
= 5/9
1/3+2/9 = 5/9
Hence,
1/3 plus 2/9 = 5/9
