What is 5/7 plus 9/14 in fraction?
5/7 plus 9/14 equals to 19/14 in fraction form.
Learn how to find what is 5/7 plus 9/14 in fraction form just in a few minutes. We have covered the easiest method to write 5/7 + 9/14 as a fraction and decimal.
Summary: 5/7 plus 9/14
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 5/7 and 9/14 having identical denominators before starting adding the fractions. Find the LCM of denominators, 14 is the LCM of 7 and 14. Multiply the LCM 14 with all the numerators and denominators of both fractions (5/7 x 14/14) + (9/14 x 14/14) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 19/14.
The below workout with step by step calculation shows how to find the equivalent fraction between 5/7 and 9/14 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/7 plus 9/14 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
5/7+9/14 using LCM Method:
What is 5/7 plus 9/14 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/7
Fraction B: 9/14
What to be found?
5/7+9/14 = ?
Find what's the sum of 5/7 and 9/14.
step 2 Compare the denominators of fractions 5/7 and 9/14 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/7 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 5/7 and 9/14:
The LCM of 7 and 14 is 14.
step 4 Write the fractions 5/7 and 9/14 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=5/7+9/14
=(5 x 14)/(7 x 14)+(9 x 14)/(14 x 14)
step 5 Simplify the expression to have common denominator:
=10/14+9/14
step 6 Take the common values out and rewrite the above expression like the below:
=1/14 x (10/1+9/1)
=1/14 x (10 + 9)
step 7Simplify the above expression further:
=1/14 x 19
=19/14
5/7+9/14=19/14
Hence,
5/7 plus 9/14 equals to 19/14 in fraction.
5/7+9/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/7
Fraction B: 9/14
What to be found?
5/7+9/14 = ?
Find what's the sum of 5/7 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 7), and find the product of both denominators of Fraction A and Fraction B (7 x 14) and rewrite the equation as like the below:
= (5 x 14) + (9 x 7)/(7 x 14)
step 3 Simplify and rewrite the fraction:
= (70 + 63)/98
= 133/98
= 19/14
5/7+9/14 = 19/14
Hence,
5/7 plus 9/14 = 19/14