What is 1/3 plus 16 in fraction?
1/3 plus 16 equals to 49/3 in fraction form.
Learn how to find what is 1/3 plus 16 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 + 16 as a fraction and decimal.
Summary: 1/3 plus 16
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/3 and 16 having identical denominators before starting adding the fractions. Find the LCM of denominators, 3 is the LCM of 3 and 1. Multiply the LCM 3 with all the numerators and denominators of both fractions (1/3 x 3/3) + (16 x 3/3) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 49/3.
The below workout with step by step calculation shows how to find the equivalent fraction between 1/3 and 16 by adding fraction to a whole number . The sum in fraction form for 1/3 plus 16/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/3+16 using LCM Method:
What is 1/3 plus 16 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 16/1
What to be found?
1/3+16 = ?
Find what's the sum of 1/3 and 16.
step 2 Compare the denominators of fractions 1/3 and 16 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/3 and 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 16:
The LCM of 3 and 1 is 3.
step 4 Write the fractions 1/3 and 16 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/3+16
=(1 x 3)/(3 x 3)+(16 x 3)/(1 x 3)
step 5 Simplify the expression to have common denominator:
=1/3+48/3
step 6 Take the common values out and rewrite the above expression like the below:
=1/3 x (1/1+48/1)
=1/3 x (1 + 48)
step 7Simplify the above expression further:
=1/3 x 49
=49/3
1/3+16=49/3
Hence,
1/3 plus 16 equals to 49/3 in fraction.
1/3+16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 16/1
What to be found?
1/3+16 = ?
Find what's the sum of 1/3 and 16.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 1), find the product of numerator of Fraction B and denominator of Fraction A (16 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 1) and rewrite the equation as like the below:
= (1 x 1) + (16 x 3)/(3 x 1)
step 3 Simplify and rewrite the fraction:
= (1 + 48)/3
1/3+16 = 49/3
Hence,
1/3 plus 16 = 49/3