What is 1/3 plus 5/16 in fraction?
1/3 plus 5/16 equals to 31/48 in fraction form.
Learn how to find what is 1/3 plus 5/16 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 + 5/16 as a fraction and decimal.
Summary: 1/3 plus 5/16
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/3 and 5/16 having identical denominators before starting adding the fractions. Find the LCM of denominators, 48 is the LCM of 3 and 16. Multiply the LCM 48 with all the numerators and denominators of both fractions (1/3 x 48/48) + (5/16 x 48/48) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 31/48.
The below workout with step by step calculation shows how to find the equivalent fraction between 1/3 and 5/16 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/3 plus 5/16 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/3+5/16 using LCM Method:
What is 1/3 plus 5/16 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 5/16
What to be found?
1/3+5/16 = ?
Find what's the sum of 1/3 and 5/16.
step 2 Compare the denominators of fractions 1/3 and 5/16 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/3 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 1/3 and 5/16:
The LCM of 3 and 16 is 48.
step 4 Write the fractions 1/3 and 5/16 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/3+5/16
=(1 x 48)/(3 x 48)+(5 x 48)/(16 x 48)
step 5 Simplify the expression to have common denominator:
=16/48+15/48
step 6 Take the common values out and rewrite the above expression like the below:
=1/48 x (16/1+15/1)
=1/48 x (16 + 15)
step 7Simplify the above expression further:
=1/48 x 31
=31/48
1/3+5/16=31/48
Hence,
1/3 plus 5/16 equals to 31/48 in fraction.
1/3+5/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 5/16
What to be found?
1/3+5/16 = ?
Find what's the sum of 1/3 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 3), and find the product of both denominators of Fraction A and Fraction B (3 x 16) and rewrite the equation as like the below:
= (1 x 16) + (5 x 3)/(3 x 16)
step 3 Simplify and rewrite the fraction:
= (16 + 15)/48
1/3+5/16 = 31/48
Hence,
1/3 plus 5/16 = 31/48