What is 2/3 plus 3 in fraction?
2/3 plus 3 equals to 11/3 in fraction form.
2/3 + 3 in fraction form
Learn how to find what is 2/3 plus 3 in fraction form just in a few minutes. We have covered the easiest method to write 2/3 + 3 as a fraction and decimal.
Summary: 2/3 plus 3
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 2/3 and 3 having identical denominators before starting adding the fractions. Find the LCM of denominators, 3 is the LCM of 3 and 1. Multiply the LCM 3 with all the numerators and denominators of both fractions (2/3 x 3/3) + (3 x 3/3) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 11/3.
2/3+3 as a fraction
2/3 + 3 = (?)
2/3 + 3/1 = [(2 x 1) + (3 x 3)]/(3 x 1)
= (2 + 9)/3
= 11/3
2/3 + 3 = 11/3
2/3 plus 3 as a fraction is 11/3.
where
2/3 is a fraction as an addend,
3 is a fraction as an addend,
11/3 is the sum of 2/3 and 3.
2/3 plus 3 as a decimal
2/3 + 3 = 11/3
11/3 = 3.6667
2/3+3 as a decimal is 3.6667
where
3.6667 is the sum of 2/3 and 3.
How to find 2/3+3 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 2/3 and 3 by adding fraction to a whole number . The sum in fraction form for 2/3 plus 3/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
2/3+3 using LCM Method:
What is 2/3 plus 3 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 3/1
What to be found?
2/3+3 = ?
Find what's the sum of 2/3 and 3.
step 2 Compare the denominators of fractions 2/3 and 3 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/3 and 3 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 3:
The LCM of 3 and 1 is 3.
step 4 Write the fractions 2/3 and 3 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=2/3+3
=(2 x 3)/(3 x 3)+(3 x 3)/(1 x 3)
step 5 Simplify the expression to have common denominator:
=2/3+9/3
step 6 Take the common values out and rewrite the above expression like the below:
=1/3 x (2/1+9/1)
=1/3 x (2 + 9)
step 7Simplify the above expression further:
=1/3 x 11
=11/3
2/3+3=11/3
Hence,
2/3 plus 3 equals to 11/3 in fraction.
2/3+3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 3/1
What to be found?
2/3+3 = ?
Find what's the sum of 2/3 and 3.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 1), find the product of numerator of Fraction B and denominator of Fraction A (3 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 1) and rewrite the equation as like the below:
= (2 x 1) + (3 x 3)/(3 x 1)
step 3 Simplify and rewrite the fraction:
= (2 + 9)/3
2/3+3 = 11/3
Hence,
2/3 plus 3 = 11/3