2/3 plus 2/6 as a fraction

2/3 + 2/6 as a fraction provides the detailed information about what is 2/3 plus 2/6 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
2/3+2/6 equals to
2/3 + 2/6 = (?)
2/3 + 2/6 = [(2 x 6) + (2 x 3)]/(3 x 6)
= (12 + 6)/18
= 18/18
= 1
2/3 + 2/6 = 1
2/3 plus 2/6 is equal to 1
where
2/3 is a fraction as an addend,
2/6 is a fraction as an addend,
1 is the sum of 2/3 and 2/6.
How-to: 2/3 + 2/6 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 2/3 plus 2/6 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 2/6
What to be found?
2/3+2/6 = ?
Find what's the sum of 2/3 and 2/6.
step 2 Compare the denominators of fractions 2/3 and 2/6 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/3 and 2/6 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 2/3 and 2/6:
The LCM of 3 and 6 is 6.
step 4 Write the fractions 2/3 and 2/6 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=2/3+2/6
=(2 x 6)/(3 x 6)+(2 x 6)/(6 x 6)
step 5 Simplify the expression to have common denominator:
=4/6+2/6
step 6 Take the common values out and rewrite the above expression like the below:
=1/6 x (4/1+2/1)
=1/6 x (4 + 2)
step 7Simplify the above expression further:
=1/6 x 6
= 6/6
=1
2/3+2/6=1
Hence,
2/3 plus 2/6 equals to 1 in fraction.
Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 2/6
What to be found?
2/3+2/6 = ?
Find what's the sum of 2/3 and 2/6.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 6), 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 6) and rewrite the equation as like the below:
= (2 x 6) + (2 x 3)/(3 x 6)
step 3 Simplify and rewrite the fraction:
= (12 + 6)/18
= 18/18
= 1
2/3+2/6 = 1
Hence,
2/3 plus 2/6 = 1
