1/4 plus 1/7 as a fraction

The below workout with step by step calculation shows how to find what is 1/4 plus 1/7 in simplest form by using the following methods:
1. LCM method,
2. Cross multiplication method.

Problem and Workout - LCM Method:
What is 1/4 plus 1/7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 1/7

What to be found?
1/4+1/7 = ?
Find what's the sum of 1/4 and 1/7.

step 2 Compare the denominators of fractions 1/4 and 1/7 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/4 and 1/7 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 1/4 and 1/7:
The LCM of 4 and 7 is 28.

step 4 Write the fractions 1/4 and 1/7 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/4+1/7
=(1 x 28)/(4 x 28)+(1 x 28)/(7 x 28)

step 5 Simplify the expression to have common denominator:
=7/28+4/28

step 6 Take the common values out and rewrite the above expression like the below:
=1/28 x (7/1+4/1)
=1/28 x (7 + 4)

step 7Simplify the above expression further:
=1/28 x 11
=11/28
1/4+1/7=11/28

Hence,
1/4 plus 1/7 equals to 11/28 in fraction.

Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 1/7

What to be found?
1/4+1/7 = ?
Find what's the sum of 1/4 and 1/7.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 7), find the product of numerator of Fraction B and denominator of Fraction A (1 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 7) and rewrite the equation as like the below:
= (1 x 7) + (1 x 4)/(4 x 7)

step 3 Simplify and rewrite the fraction:
= (7 + 4)/28
1/4+1/7 = 11/28
Hence,
1/4 plus 1/7 = 11/28