# 6/7 plus 1/3 as a fraction 6/7 + 1/3 as a fraction provides the detailed information about what is 6/7 plus 1/3 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

6/7+1/3 equals to
6/7 + 1/3 = (?)
6/7 + 1/3 = [(6 x 3) + (1 x 7)]/(7 x 3)
= (18 + 7)/21
= 25/21
6/7 + 1/3 = 25/21
6/7 plus 1/3 is equal to 25/21

where
6/7 is a fraction as an addend,
1/3 is a fraction as an addend,
25/21 is the sum of 6/7 and 1/3.

6/7 plus 1/3 as a decimal
6/7 + 1/3 = 25/21
25/21 = 1.1905
6/7+1/3 as a decimal is 1.1905
where
1.1905 is the sum of 6/7 and 1/3.

For values other than 6/7 plus 1/3, use this below tool:

## How-to: 6/7 + 1/3 = ?

The below workout with step by step calculation shows how to find what is 6/7 plus 1/3 in simplest form by using the following methods:
1. LCM method,
2. Cross multiplication method.

Problem and Workout - LCM Method:
What is 6/7 plus 1/3 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/7
Fraction B: 1/3

What to be found?
6/7+1/3 = ?
Find what's the sum of 6/7 and 1/3.

step 2 Compare the denominators of fractions 6/7 and 1/3 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 6/7 and 1/3 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 6/7 and 1/3:
The LCM of 7 and 3 is 21.

step 4 Write the fractions 6/7 and 1/3 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=6/7+1/3
=(6 x 21)/(7 x 21)+(1 x 21)/(3 x 21)

step 5 Simplify the expression to have common denominator:
=18/21+7/21

step 6 Take the common values out and rewrite the above expression like the below:
=1/21 x (18/1+7/1)
=1/21 x (18 + 7)

step 7Simplify the above expression further:
=1/21 x 25
=25/21
6/7+1/3=25/21

Hence,
6/7 plus 1/3 equals to 25/21 in fraction.

Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/7
Fraction B: 1/3

What to be found?
6/7+1/3 = ?
Find what's the sum of 6/7 and 1/3.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (6 x 3), 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 3) and rewrite the equation as like the below:
= (6 x 3) + (1 x 7)/(7 x 3)

step 3 Simplify and rewrite the fraction:
= (18 + 7)/21
6/7+1/3 = 25/21
Hence,
6/7 plus 1/3 = 25/21 