What is 1/2 plus 5/16 in fraction?
1/2 plus 5/16 equals to 13/16 in fraction form.
1/2 + 5/16 in fraction form
Learn how to find what is 1/2 plus 5/16 in fraction form just in a few minutes. We have covered the easiest method to write 1/2 + 5/16 as a fraction and decimal.
Summary: 1/2 plus 5/16
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/2 and 5/16 having identical denominators before starting adding the fractions. Find the LCM of denominators, 16 is the LCM of 2 and 16. Multiply the LCM 16 with all the numerators and denominators of both fractions (1/2 x 16/16) + (5/16 x 16/16) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 13/16.
1/2+5/16 as a fraction
1/2 + 5/16 = (?)
1/2 + 5/16 = [(1 x 16) + (5 x 2)]/(2 x 16)
= (16 + 10)/32
= 26/32
= (2 x 13)/(2 x 16)
= 13/16
1/2 + 5/16 = 13/16
1/2 plus 5/16 as a fraction is 13/16.
where
1/2 is a fraction as an addend,
5/16 is a fraction as an addend,
13/16 is the sum of 1/2 and 5/16.
1/2 plus 5/16 as a decimal
1/2 + 5/16 = 13/16
13/16 = 0.8125
1/2+5/16 as a decimal is 0.8125
where
0.8125 is the sum of 1/2 and 5/16.
How to find 1/2+5/16 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 1/2 and 5/16 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/2 plus 5/16 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/2+5/16 using LCM Method:
What is 1/2 plus 5/16 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 5/16
What to be found?
1/2+5/16 = ?
Find what's the sum of 1/2 and 5/16.
step 2 Compare the denominators of fractions 1/2 and 5/16 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/2 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 1/2 and 5/16:
The LCM of 2 and 16 is 16.
step 4 Write the fractions 1/2 and 5/16 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/2+5/16
=(1 x 16)/(2 x 16)+(5 x 16)/(16 x 16)
step 5 Simplify the expression to have common denominator:
=8/16+5/16
step 6 Take the common values out and rewrite the above expression like the below:
=1/16 x (8/1+5/1)
=1/16 x (8 + 5)
step 7Simplify the above expression further:
=1/16 x 13
=13/16
1/2+5/16=13/16
Hence,
1/2 plus 5/16 equals to 13/16 in fraction.
1/2+5/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 5/16
What to be found?
1/2+5/16 = ?
Find what's the sum of 1/2 and 5/16.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 16), find the product of numerator of Fraction B and denominator of Fraction A (5 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 16) and rewrite the equation as like the below:
= (1 x 16) + (5 x 2)/(2 x 16)
step 3 Simplify and rewrite the fraction:
= (16 + 10)/32
= 26/32
= 13/16
1/2+5/16 = 13/16
Hence,
1/2 plus 5/16 = 13/16