What is 5/7 plus 2/3 in fraction?
5/7 plus 2/3 equals to 29/21 in fraction form.
Learn how to find what is 5/7 plus 2/3 in fraction form just in a few minutes. We have covered the easiest method to write 5/7 + 2/3 as a fraction and decimal.
Summary: 5/7 plus 2/3
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 5/7 and 2/3 having identical denominators before starting adding the fractions. Find the LCM of denominators, 21 is the LCM of 7 and 3. Multiply the LCM 21 with all the numerators and denominators of both fractions (5/7 x 21/21) + (2/3 x 21/21) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 29/21.
The below workout with step by step calculation shows how to find the equivalent fraction between 5/7 and 2/3 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/7 plus 2/3 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
5/7+2/3 using LCM Method:
What is 5/7 plus 2/3 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/7
Fraction B: 2/3
What to be found?
5/7+2/3 = ?
Find what's the sum of 5/7 and 2/3.
step 2 Compare the denominators of fractions 5/7 and 2/3 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/7 and 2/3 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 5/7 and 2/3:
The LCM of 7 and 3 is 21.
step 4 Write the fractions 5/7 and 2/3 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=5/7+2/3
=(5 x 21)/(7 x 21)+(2 x 21)/(3 x 21)
step 5 Simplify the expression to have common denominator:
=15/21+14/21
step 6 Take the common values out and rewrite the above expression like the below:
=1/21 x (15/1+14/1)
=1/21 x (15 + 14)
step 7Simplify the above expression further:
=1/21 x 29
=29/21
5/7+2/3=29/21
Hence,
5/7 plus 2/3 equals to 29/21 in fraction.
5/7+2/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/7
Fraction B: 2/3
What to be found?
5/7+2/3 = ?
Find what's the sum of 5/7 and 2/3.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 3), find the product of numerator of Fraction B and denominator of Fraction A (2 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 3) and rewrite the equation as like the below:
= (5 x 3) + (2 x 7)/(7 x 3)
step 3 Simplify and rewrite the fraction:
= (15 + 14)/21
5/7+2/3 = 29/21
Hence,
5/7 plus 2/3 = 29/21