3/7 plus 1/9 as a fraction

The below workout with step by step calculation shows how to find what is 3/7 plus 1/9 in simplest form by using the following methods:
1. LCM method,
2. Cross multiplication method.

Problem and Workout - LCM Method:
What is 3/7 plus 1/9 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/7
Fraction B: 1/9

What to be found?
3/7+1/9 = ?
Find what's the sum of 3/7 and 1/9.

step 2 Compare the denominators of fractions 3/7 and 1/9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/7 and 1/9 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 1/9:
The LCM of 7 and 9 is 63.

step 4 Write the fractions 3/7 and 1/9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/7+1/9
=(3 x 63)/(7 x 63)+(1 x 63)/(9 x 63)

step 5 Simplify the expression to have common denominator:
=27/63+7/63

step 6 Take the common values out and rewrite the above expression like the below:
=1/63 x (27/1+7/1)
=1/63 x (27 + 7)

step 7Simplify the above expression further:
=1/63 x 34
=34/63
3/7+1/9=34/63

Hence,
3/7 plus 1/9 equals to 34/63 in fraction.

Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/7
Fraction B: 1/9

What to be found?
3/7+1/9 = ?
Find what's the sum of 3/7 and 1/9.

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 (1 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) + (1 x 7)/(7 x 9)

step 3 Simplify and rewrite the fraction:
= (27 + 7)/63
3/7+1/9 = 34/63
Hence,
3/7 plus 1/9 = 34/63