3/7 + 6 as a fraction

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

Summary: 3/7 plus 6 = 45/7
Since both fractions have unequal denominators, 3/7 plus 6 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 3/7 and fraction 6 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 (3/7 x 7/7) + (6 x 7/7), and simplify further in order to have the common denominator. So the equivalent fraction for 3/7 is 3/7 and for 6 is 42/7. By simplifying this fraction addition 3/7 + 42/7, it becomes 45/7.

CALCULATION: 3/7 + 6 as a fraction
3/7 + 6 = (?)
3/7 + 6/1 = [(3 x 1) + (6 x 7)]/(7 x 1)
= (3 + 42)/7
= 45/7
3/7 + 6 = 45/7
3/7 plus 6 as a fraction is 45/7.

where
3/7 is a proper fraction as an addend,
6 is a whole number as an addend,
45/7 is the sum of 3/7 and 6.

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3/7 plus 6 as a decimal
3/7 + 6 = 45/7
45/7 = 6.4286
(3/7) + (6) as a decimal is 6.4286

where
6.4286 is the sum of 3/7 and 6.

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

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 3/7 + 42/7

step 6 Take the common values out and rewrite the above expression like the below:
= 1/7 x (3/1 + 42/1)
= 1/7 x (3 + 42)

step 7Simplify the above expression further:
= 1/7 x 45
= 45/7
3/7 + 6 = 45/7

Hence,
3/7 plus 6 as a fraction is 45/7.

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

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

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

step 3 Simplify and rewrite the fraction:
= (3 + 42)/7
3/7 + 6 = 45/7

Hence,
3/7 plus 6 in fraction is 45/7