What is 5/6 plus 3/16 in fraction?
5/6 plus 3/16 equals to 49/48 in fraction form.
Learn how to find what is 5/6 plus 3/16 in fraction form just in a few minutes. We have covered the easiest method to write 5/6 + 3/16 as a fraction and decimal.
Summary: 5/6 plus 3/16
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 5/6 and 3/16 having identical denominators before starting adding the fractions. Find the LCM of denominators, 48 is the LCM of 6 and 16. Multiply the LCM 48 with all the numerators and denominators of both fractions (5/6 x 48/48) + (3/16 x 48/48) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 49/48.
The below workout with step by step calculation shows how to find the equivalent fraction between 5/6 and 3/16 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/6 plus 3/16 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
5/6+3/16 using LCM Method:
What is 5/6 plus 3/16 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/6
Fraction B: 3/16
What to be found?
5/6+3/16 = ?
Find what's the sum of 5/6 and 3/16.
step 2 Compare the denominators of fractions 5/6 and 3/16 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/6 and 3/16 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 5/6 and 3/16:
The LCM of 6 and 16 is 48.
step 4 Write the fractions 5/6 and 3/16 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=5/6+3/16
=(5 x 48)/(6 x 48)+(3 x 48)/(16 x 48)
step 5 Simplify the expression to have common denominator:
=40/48+9/48
step 6 Take the common values out and rewrite the above expression like the below:
=1/48 x (40/1+9/1)
=1/48 x (40 + 9)
step 7Simplify the above expression further:
=1/48 x 49
=49/48
5/6+3/16=49/48
Hence,
5/6 plus 3/16 equals to 49/48 in fraction.
5/6+3/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/6
Fraction B: 3/16
What to be found?
5/6+3/16 = ?
Find what's the sum of 5/6 and 3/16.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 16), find the product of numerator of Fraction B and denominator of Fraction A (3 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 16) and rewrite the equation as like the below:
= (5 x 16) + (3 x 6)/(6 x 16)
step 3 Simplify and rewrite the fraction:
= (80 + 18)/96
= 98/96
= 49/48
5/6+3/16 = 49/48
Hence,
5/6 plus 3/16 = 49/48