6/7 + 3 as a fraction

Learn how to find what is 6/7 plus 3 in fraction form just in a few minutes. We have covered the easiest method to write 6/7 + 3 as a fraction and decimal.

Summary: 6/7 plus 3 = 27/7
Since both fractions have unequal denominators, 6/7 plus 3 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 6/7 and fraction 3 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 1. 7 is the LCM of 7 and 1. Multiplying the LCM 7 with the numerators and denominators of both fractions (6/7 x 7/7) + (3 x 7/7), and simplify further in order to have the common denominator. So the equivalent fraction for 6/7 is 6/7 and for 3 is 21/7. By simplifying this fraction addition 6/7 + 21/7, it becomes 27/7.

CALCULATION: 6/7 + 3 as a fraction
6/7 + 3 = (?)
6/7 + 3/1 = [(6 x 1) + (3 x 7)]/(7 x 1)
= (6 + 21)/7
= 27/7
6/7 + 3 = 27/7
6/7 plus 3 as a fraction is 27/7.

where
6/7 is a proper fraction as an addend,
3 is a whole number as an addend,
27/7 is the sum of 6/7 and 3.

---

6/7 plus 3 as a decimal
6/7 + 3 = 27/7
27/7 = 3.8571
(6/7) + (3) as a decimal is 3.8571

where
3.8571 is the sum of 6/7 and 3.

The below workout with step by step calculation shows how to find the equivalent fraction between 6/7 and 3 by adding fraction to a whole number . The sum in fraction form for 6/7 plus 3/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(6/7) + (3) using LCM Method:
What is 6/7 plus 3 as a fraction?

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 6/7 + 21/7

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

step 7Simplify the above expression further:
= 1/7 x 27
= 27/7
6/7 + 3 = 27/7

Hence,
6/7 plus 3 as a fraction is 27/7.

---

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

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

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

step 3 Simplify and rewrite the fraction:
= (6 + 21)/7
6/7 + 3 = 27/7

Hence,
6/7 plus 3 in fraction is 27/7