What is 5/7 plus 2/8 in fraction?
5/7 plus 2/8 equals to 27/28 in fraction form.
Learn how to find what is 5/7 plus 2/8 in fraction form just in a few minutes. We have covered the easiest method to write 5/7 + 2/8 as a fraction and decimal.
Summary: 5/7 plus 2/8
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 5/7 and 2/8 having identical denominators before starting adding the fractions. Find the LCM of denominators, 56 is the LCM of 7 and 8. Multiply the LCM 56 with all the numerators and denominators of both fractions (5/7 x 56/56) + (2/8 x 56/56) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 54/56.
The below workout with step by step calculation shows how to find the equivalent fraction between 5/7 and 2/8 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/7 plus 2/8 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
5/7+2/8 using LCM Method:
What is 5/7 plus 2/8 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/7
Fraction B: 2/8
What to be found?
5/7+2/8 = ?
Find what's the sum of 5/7 and 2/8.
step 2 Compare the denominators of fractions 5/7 and 2/8 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/7 and 2/8 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 2/8:
The LCM of 7 and 8 is 56.
step 4 Write the fractions 5/7 and 2/8 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=5/7+2/8
=(5 x 56)/(7 x 56)+(2 x 56)/(8 x 56)
step 5 Simplify the expression to have common denominator:
=40/56+14/56
step 6 Take the common values out and rewrite the above expression like the below:
=1/56 x (40/1+14/1)
=1/56 x (40 + 14)
step 7Simplify the above expression further:
=1/56 x 54
= 54/56
=27/28
5/7+2/8=27/28
Hence,
5/7 plus 2/8 equals to 27/28 in fraction.
5/7+2/8 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/7
Fraction B: 2/8
What to be found?
5/7+2/8 = ?
Find what's the sum of 5/7 and 2/8.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 8), 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 8) and rewrite the equation as like the below:
= (5 x 8) + (2 x 7)/(7 x 8)
step 3 Simplify and rewrite the fraction:
= (40 + 14)/56
= 54/56
= 27/28
5/7+2/8 = 27/28
Hence,
5/7 plus 2/8 = 27/28