What is 5/6 plus 9/14 in fraction?
5/6 plus 9/14 equals to 31/21 in fraction form.
Learn how to find what is 5/6 plus 9/14 in fraction form just in a few minutes. We have covered the easiest method to write 5/6 + 9/14 as a fraction and decimal.
Summary: 5/6 plus 9/14
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 5/6 and 9/14 having identical denominators before starting adding the fractions. Find the LCM of denominators, 42 is the LCM of 6 and 14. Multiply the LCM 42 with all the numerators and denominators of both fractions (5/6 x 42/42) + (9/14 x 42/42) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 62/42.
The below workout with step by step calculation shows how to find the equivalent fraction between 5/6 and 9/14 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/6 plus 9/14 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
5/6+9/14 using LCM Method:
What is 5/6 plus 9/14 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/6
Fraction B: 9/14
What to be found?
5/6+9/14 = ?
Find what's the sum of 5/6 and 9/14.
step 2 Compare the denominators of fractions 5/6 and 9/14 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/6 and 9/14 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 9/14:
The LCM of 6 and 14 is 42.
step 4 Write the fractions 5/6 and 9/14 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=5/6+9/14
=(5 x 42)/(6 x 42)+(9 x 42)/(14 x 42)
step 5 Simplify the expression to have common denominator:
=35/42+27/42
step 6 Take the common values out and rewrite the above expression like the below:
=1/42 x (35/1+27/1)
=1/42 x (35 + 27)
step 7Simplify the above expression further:
=1/42 x 62
= 62/42
=31/21
5/6+9/14=31/21
Hence,
5/6 plus 9/14 equals to 31/21 in fraction.
5/6+9/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/6
Fraction B: 9/14
What to be found?
5/6+9/14 = ?
Find what's the sum of 5/6 and 9/14.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 14), find the product of numerator of Fraction B and denominator of Fraction A (9 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 14) and rewrite the equation as like the below:
= (5 x 14) + (9 x 6)/(6 x 14)
step 3 Simplify and rewrite the fraction:
= (70 + 54)/84
= 124/84
= 31/21
5/6+9/14 = 31/21
Hence,
5/6 plus 9/14 = 31/21