What is 2/3 plus 13 in fraction?
2/3 plus 13 equals to 41/3 in fraction form.
2/3 + 13 in fraction form
Learn how to find what is 2/3 plus 13 in fraction form just in a few minutes. We have covered the easiest method to write 2/3 + 13 as a fraction and decimal.
Summary: 2/3 plus 13
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 2/3 and 13 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) + (13 x 3/3) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 41/3.
2/3+13 as a fraction
2/3 + 13 = (?)
2/3 + 13/1 = [(2 x 1) + (13 x 3)]/(3 x 1)
= (2 + 39)/3
= 41/3
2/3 + 13 = 41/3
2/3 plus 13 as a fraction is 41/3.
where
2/3 is a fraction as an addend,
13 is a fraction as an addend,
41/3 is the sum of 2/3 and 13.
2/3 plus 13 as a decimal
2/3 + 13 = 41/3
41/3 = 13.6667
2/3+13 as a decimal is 13.6667
where
13.6667 is the sum of 2/3 and 13.
How to find 2/3+13 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 2/3 and 13 by adding fraction to a whole number . The sum in fraction form for 2/3 plus 13/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
2/3+13 using LCM Method:
What is 2/3 plus 13 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 13/1
What to be found?
2/3+13 = ?
Find what's the sum of 2/3 and 13.
step 2 Compare the denominators of fractions 2/3 and 13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/3 and 13 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 13:
The LCM of 3 and 1 is 3.
step 4 Write the fractions 2/3 and 13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=2/3+13
=(2 x 3)/(3 x 3)+(13 x 3)/(1 x 3)
step 5 Simplify the expression to have common denominator:
=2/3+39/3
step 6 Take the common values out and rewrite the above expression like the below:
=1/3 x (2/1+39/1)
=1/3 x (2 + 39)
step 7Simplify the above expression further:
=1/3 x 41
=41/3
2/3+13=41/3
Hence,
2/3 plus 13 equals to 41/3 in fraction.
2/3+13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 13/1
What to be found?
2/3+13 = ?
Find what's the sum of 2/3 and 13.
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 (13 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) + (13 x 3)/(3 x 1)
step 3 Simplify and rewrite the fraction:
= (2 + 39)/3
2/3+13 = 41/3
Hence,
2/3 plus 13 = 41/3