What is 7/9 plus 6/14 in fraction?
7/9 plus 6/14 equals to 76/63 in fraction form.
Learn how to find what is 7/9 plus 6/14 in fraction form just in a few minutes. We have covered the easiest method to write 7/9 + 6/14 as a fraction and decimal.
Summary: 7/9 plus 6/14
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 7/9 and 6/14 having identical denominators before starting adding the fractions. Find the LCM of denominators, 126 is the LCM of 9 and 14. Multiply the LCM 126 with all the numerators and denominators of both fractions (7/9 x 126/126) + (6/14 x 126/126) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 152/126.
The below workout with step by step calculation shows how to find the equivalent fraction between 7/9 and 6/14 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 7/9 plus 6/14 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
7/9+6/14 using LCM Method:
What is 7/9 plus 6/14 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/9
Fraction B: 6/14
What to be found?
7/9+6/14 = ?
Find what's the sum of 7/9 and 6/14.
step 2 Compare the denominators of fractions 7/9 and 6/14 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/9 and 6/14 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 7/9 and 6/14:
The LCM of 9 and 14 is 126.
step 4 Write the fractions 7/9 and 6/14 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=7/9+6/14
=(7 x 126)/(9 x 126)+(6 x 126)/(14 x 126)
step 5 Simplify the expression to have common denominator:
=98/126+54/126
step 6 Take the common values out and rewrite the above expression like the below:
=1/126 x (98/1+54/1)
=1/126 x (98 + 54)
step 7Simplify the above expression further:
=1/126 x 152
= 152/126
=76/63
7/9+6/14=76/63
Hence,
7/9 plus 6/14 equals to 76/63 in fraction.
7/9+6/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/9
Fraction B: 6/14
What to be found?
7/9+6/14 = ?
Find what's the sum of 7/9 and 6/14.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 14), find the product of numerator of Fraction B and denominator of Fraction A (6 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 14) and rewrite the equation as like the below:
= (7 x 14) + (6 x 9)/(9 x 14)
step 3 Simplify and rewrite the fraction:
= (98 + 54)/126
= 152/126
= 76/63
7/9+6/14 = 76/63
Hence,
7/9 plus 6/14 = 76/63