What is 7/9 plus 3/6 in fraction?
7/9 plus 3/6 equals to 23/18 in fraction form.
Learn how to find what is 7/9 plus 3/6 in fraction form just in a few minutes. We have covered the easiest method to write 7/9 + 3/6 as a fraction and decimal.
Summary: 7/9 plus 3/6
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 7/9 and 3/6 having identical denominators before starting adding the fractions. Find the LCM of denominators, 18 is the LCM of 9 and 6. Multiply the LCM 18 with all the numerators and denominators of both fractions (7/9 x 18/18) + (3/6 x 18/18) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 23/18.
The below workout with step by step calculation shows how to find the equivalent fraction between 7/9 and 3/6 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 7/9 plus 3/6 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
7/9+3/6 using LCM Method:
What is 7/9 plus 3/6 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/9
Fraction B: 3/6
What to be found?
7/9+3/6 = ?
Find what's the sum of 7/9 and 3/6.
step 2 Compare the denominators of fractions 7/9 and 3/6 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/9 and 3/6 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 3/6:
The LCM of 9 and 6 is 18.
step 4 Write the fractions 7/9 and 3/6 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=7/9+3/6
=(7 x 18)/(9 x 18)+(3 x 18)/(6 x 18)
step 5 Simplify the expression to have common denominator:
=14/18+9/18
step 6 Take the common values out and rewrite the above expression like the below:
=1/18 x (14/1+9/1)
=1/18 x (14 + 9)
step 7Simplify the above expression further:
=1/18 x 23
=23/18
7/9+3/6=23/18
Hence,
7/9 plus 3/6 equals to 23/18 in fraction.
7/9+3/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/9
Fraction B: 3/6
What to be found?
7/9+3/6 = ?
Find what's the sum of 7/9 and 3/6.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 6), find the product of numerator of Fraction B and denominator of Fraction A (3 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 6) and rewrite the equation as like the below:
= (7 x 6) + (3 x 9)/(9 x 6)
step 3 Simplify and rewrite the fraction:
= (42 + 27)/54
= 69/54
= 23/18
7/9+3/6 = 23/18
Hence,
7/9 plus 3/6 = 23/18