What is 2/5 plus 5/16 in fraction?
2/5 plus 5/16 equals to 57/80 in fraction form.
Learn how to find what is 2/5 plus 5/16 in fraction form just in a few minutes. We have covered the easiest method to write 2/5 + 5/16 as a fraction and decimal.
Summary: 2/5 plus 5/16
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 2/5 and 5/16 having identical denominators before starting adding the fractions. Find the LCM of denominators, 80 is the LCM of 5 and 16. Multiply the LCM 80 with all the numerators and denominators of both fractions (2/5 x 80/80) + (5/16 x 80/80) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 57/80.
The below workout with step by step calculation shows how to find the equivalent fraction between 2/5 and 5/16 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/5 plus 5/16 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
2/5+5/16 using LCM Method:
What is 2/5 plus 5/16 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 5/16
What to be found?
2/5+5/16 = ?
Find what's the sum of 2/5 and 5/16.
step 2 Compare the denominators of fractions 2/5 and 5/16 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/5 and 5/16 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 2/5 and 5/16:
The LCM of 5 and 16 is 80.
step 4 Write the fractions 2/5 and 5/16 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=2/5+5/16
=(2 x 80)/(5 x 80)+(5 x 80)/(16 x 80)
step 5 Simplify the expression to have common denominator:
=32/80+25/80
step 6 Take the common values out and rewrite the above expression like the below:
=1/80 x (32/1+25/1)
=1/80 x (32 + 25)
step 7Simplify the above expression further:
=1/80 x 57
=57/80
2/5+5/16=57/80
Hence,
2/5 plus 5/16 equals to 57/80 in fraction.
2/5+5/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 5/16
What to be found?
2/5+5/16 = ?
Find what's the sum of 2/5 and 5/16.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 16), find the product of numerator of Fraction B and denominator of Fraction A (5 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 16) and rewrite the equation as like the below:
= (2 x 16) + (5 x 5)/(5 x 16)
step 3 Simplify and rewrite the fraction:
= (32 + 25)/80
2/5+5/16 = 57/80
Hence,
2/5 plus 5/16 = 57/80