12/7 + 7/6 as a fraction

Learn how to find what is 12/7 plus 7/6 in fraction form just in a few minutes. We have covered the easiest method to write 12/7 + 7/6 as a fraction and decimal.

Summary: 12/7 plus 7/6 = 121/42
Since both fractions have unequal denominators, 12/7 plus 7/6 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 12/7 and fraction 7/6 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 (12/7 x 42/42) + (7/6 x 42/42), and simplify further in order to have the common denominator. So the equivalent fraction for 12/7 is 72/42 and for 7/6 is 49/42. By simplifying this fraction addition 72/42 + 49/42, it becomes 121/42.

CALCULATION: 12/7 + 7/6 as a fraction
12/7 + 7/6 = (?)
12/7 + 7/6 = [(12 x 6) + (7 x 7)]/(7 x 6)
= (72 + 49)/42
= 121/42
12/7 + 7/6 = 121/42
12/7 plus 7/6 as a fraction is 121/42.

where
12/7 is a improper fraction as an addend,
7/6 is a improper fraction as an addend,
121/42 is the sum of 12/7 and 7/6.

---

12/7 plus 7/6 as a decimal
12/7 + 7/6 = 121/42
121/42 = 2.881
(12/7) + (7/6) as a decimal is 2.881

where
2.881 is the sum of 12/7 and 7/6.

The below workout with step by step calculation shows how to find the equivalent fraction between 12/7 and 7/6 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 12/7 plus 7/6 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(12/7) + (7/6) using LCM Method:
What is 12/7 plus 7/6 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/7
Fraction B: 7/6

What to be found?
(12/7) + (7/6) = ?
Find what's the sum of 12/7 and 7/6.

step 2 Compare the denominators of fractions 12/7 and 7/6 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 12/7 and 7/6 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 12/7 and 7/6:
The LCM of 7 and 6 is 42.

step 4 Write the fractions 12/7 and 7/6 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 12/7 + 7/6
= [(12 x 42)/(7 x 42)] + [(7 x 42)/(6 x 42)]

step 5 Simplify the expression to have common denominator:
= 72/42 + 49/42

step 6 Take the common values out and rewrite the above expression like the below:
= 1/42 x (72/1 + 49/1)
= 1/42 x (72 + 49)

step 7Simplify the above expression further:
= 1/42 x 121
= 121/42
12/7 + 7/6 = 121/42

Hence,
12/7 plus 7/6 as a fraction is 121/42.

---

12/7 + 7/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/7
Fraction B: 7/6

What to be found?
(12/7)+(7/6) = ?
Find what's the sum of 12/7 and 7/6.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (12 x 6), find the product of numerator of Fraction B and denominator of Fraction A (7 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:
= (12 x 6) + (7 x 7)/(7 x 6)

step 3 Simplify and rewrite the fraction:
= (72 + 49)/42
12/7 + 7/6 = 121/42

Hence,
12/7 plus 7/6 in fraction is 121/42