3/7 + 1/6 as a fraction

Learn how to find what is 3/7 plus 1/6 in fraction form just in a few minutes. We have covered the easiest method to write 3/7 + 1/6 as a fraction and decimal.

Summary: 3/7 plus 1/6 = 25/42
Since both fractions have unequal denominators, 3/7 plus 1/6 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 3/7 and fraction 1/6 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 6. 42 is the LCM of 7 and 6. Multiplying the LCM 42 with the numerators and denominators of both fractions (3/7 x 42/42) + (1/6 x 42/42), and simplify further in order to have the common denominator. So the equivalent fraction for 3/7 is 18/42 and for 1/6 is 7/42. By simplifying this fraction addition 18/42 + 7/42, it becomes 25/42.

Pie Chart Representation: 3/7 + 1/6 = 25/42

CALCULATION: 3/7 + 1/6 as a fraction
3/7 + 1/6 = (?)
3/7 + 1/6 = [(3 x 6) + (1 x 7)]/(7 x 6)
= (18 + 7)/42
= 25/42
3/7 + 1/6 = 25/42
3/7 plus 1/6 as a fraction is 25/42.

where
3/7 is a proper fraction as an addend,
1/6 is a proper fraction as an addend,
25/42 is the sum of 3/7 and 1/6.

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3/7 plus 1/6 as a decimal
3/7 + 1/6 = 25/42
25/42 = 0.5952
(3/7) + (1/6) as a decimal is 0.5952

where
0.5952 is the sum of 3/7 and 1/6.

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

(3/7) + (1/6) using LCM Method:
What is 3/7 plus 1/6 as a fraction?

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

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

step 2 Compare the denominators of fractions 3/7 and 1/6 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/7 and 1/6 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 1/6:
The LCM of 7 and 6 is 42.

step 4 Write the fractions 3/7 and 1/6 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/7 + 1/6
= [(3 x 42)/(7 x 42)] + [(1 x 42)/(6 x 42)]

step 5 Simplify the expression to have common denominator:
= 18/42 + 7/42

step 6 Take the common values out and rewrite the above expression like the below:
= 1/42 x (18/1 + 7/1)
= 1/42 x (18 + 7)

step 7Simplify the above expression further:
= 1/42 x 25
= 25/42
3/7 + 1/6 = 25/42

Hence,
3/7 plus 1/6 as a fraction is 25/42.

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

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

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

step 3 Simplify and rewrite the fraction:
= (18 + 7)/42
3/7 + 1/6 = 25/42

Hence,
3/7 plus 1/6 in fraction is 25/42