What is 2/3 + 1/73 in fraction?
2/3 + 1/73 equals to 149/219 in fraction form.
Learn how to find what is 2/3 plus 1/73 in fraction form just in a few minutes. We have covered the easiest method to write 2/3 + 1/73 as a fraction and decimal.
Summary: 2/3 plus 1/73 = 149/219
Since both fractions have unequal denominators, 2/3 plus 1/73 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/3 and fraction 1/73 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 73. 219 is the LCM of 3 and 73. Multiplying the LCM 219 with the numerators and denominators of both fractions (2/3 x 219/219) + (1/73 x 219/219), and simplify further in order to have the common denominator. So the equivalent fraction for 2/3 is 146/219 and for 1/73 is 3/219. By simplifying this fraction addition 146/219 + 3/219, it becomes 149/219.
Pie Chart Representation: 2/3 + 1/73 = 149/219
The below workout with step by step calculation shows how to find the equivalent fraction between 2/3 and 1/73 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/3 plus 1/73 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(2/3) + (1/73) using LCM Method:
What is 2/3 plus 1/73 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 1/73
What to be found?
(2/3) + (1/73) = ?
Find what's the sum of 2/3 and 1/73.
step 2 Compare the denominators of fractions 2/3 and 1/73 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/3 and 1/73 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 1/73:
The LCM of 3 and 73 is 219.
step 4 Write the fractions 2/3 and 1/73 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/3 + 1/73
= [(2 x 219)/(3 x 219)] + [(1 x 219)/(73 x 219)]
step 5 Simplify the expression to have common denominator:
= 146/219 + 3/219
step 6 Take the common values out and rewrite the above expression like the below:
= 1/219 x (146/1 + 3/1)
= 1/219 x (146 + 3)
step 7Simplify the above expression further:
= 1/219 x 149
= 149/219
2/3 + 1/73 = 149/219
Hence,
2/3 plus 1/73 as a fraction is 149/219.
2/3 + 1/73 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 1/73
What to be found?
(2/3)+(1/73) = ?
Find what's the sum of 2/3 and 1/73.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 73), find the product of numerator of Fraction B and denominator of Fraction A (1 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 73) and rewrite the equation as like the below:
= (2 x 73) + (1 x 3)/(3 x 73)
step 3 Simplify and rewrite the fraction:
= (146 + 3)/219
2/3 + 1/73 = 149/219
Hence,
2/3 plus 1/73 in fraction is 149/219