What is 3/7 plus 3/9 in fraction?
3/7 plus 3/9 equals to 16/21 in fraction form.
Learn how to find what is 3/7 plus 3/9 in fraction form just in a few minutes. We have covered the easiest method to write 3/7 + 3/9 as a fraction and decimal.
Summary: 3/7 plus 3/9
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 3/7 and 3/9 having identical denominators before starting adding the fractions. Find the LCM of denominators, 63 is the LCM of 7 and 9. Multiply the LCM 63 with all the numerators and denominators of both fractions (3/7 x 63/63) + (3/9 x 63/63) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 48/63.
The below workout with step by step calculation shows how to find the equivalent fraction between 3/7 and 3/9 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 3/7 plus 3/9 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
3/7+3/9 using LCM Method:
What is 3/7 plus 3/9 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/7
Fraction B: 3/9
What to be found?
3/7+3/9 = ?
Find what's the sum of 3/7 and 3/9.
step 2 Compare the denominators of fractions 3/7 and 3/9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/7 and 3/9 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 3/7 and 3/9:
The LCM of 7 and 9 is 63.
step 4 Write the fractions 3/7 and 3/9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/7+3/9
=(3 x 63)/(7 x 63)+(3 x 63)/(9 x 63)
step 5 Simplify the expression to have common denominator:
=27/63+21/63
step 6 Take the common values out and rewrite the above expression like the below:
=1/63 x (27/1+21/1)
=1/63 x (27 + 21)
step 7Simplify the above expression further:
=1/63 x 48
= 48/63
=16/21
3/7+3/9=16/21
Hence,
3/7 plus 3/9 equals to 16/21 in fraction.
3/7+3/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/7
Fraction B: 3/9
What to be found?
3/7+3/9 = ?
Find what's the sum of 3/7 and 3/9.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 9), find the product of numerator of Fraction B and denominator of Fraction A (3 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 9) and rewrite the equation as like the below:
= (3 x 9) + (3 x 7)/(7 x 9)
step 3 Simplify and rewrite the fraction:
= (27 + 21)/63
= 48/63
= 16/21
3/7+3/9 = 16/21
Hence,
3/7 plus 3/9 = 16/21