1/7 + 2/42 as a fraction

Learn how to find what is 1/7 plus 2/42 in fraction form just in a few minutes. We have covered the easiest method to write 1/7 + 2/42 as a fraction and decimal.

Summary: 1/7 plus 2/42 = 4/21
Since both fractions have unequal denominators, 1/7 plus 2/42 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/7 and fraction 2/42 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 42. 42 is the LCM of 7 and 42. Multiplying the LCM 42 with the numerators and denominators of both fractions (1/7 x 42/42) + (2/42 x 42/42), and simplify further in order to have the common denominator. So the equivalent fraction for 1/7 is 6/42 and for 2/42 is 2/42. By simplifying this fraction addition 6/42 + 2/42, it becomes 8/42.

Pie Chart Representation: 1/7 + 2/42 = 4/21

CALCULATION: 1/7 + 2/42 as a fraction
1/7 + 2/42 = (?)
1/7 + 2/42 = [(1 x 42) + (2 x 7)]/(7 x 42)
= (42 + 14)/294
= 56/294
= (14 x 4)/(14 x 21)
= 4/21
1/7 + 2/42 = 4/21
1/7 plus 2/42 as a fraction is 4/21.

where
1/7 is a proper fraction as an addend,
2/42 is a proper fraction as an addend,
4/21 is the sum of 1/7 and 2/42.

---

1/7 plus 2/42 as a decimal
1/7 + 2/42 = 4/21
4/21 = 0.1905
(1/7) + (2/42) as a decimal is 0.1905

where
0.1905 is the sum of 1/7 and 2/42.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/7 and 2/42 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/7 plus 2/42 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/7) + (2/42) using LCM Method:
What is 1/7 plus 2/42 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 2/42

What to be found?
(1/7) + (2/42) = ?
Find what's the sum of 1/7 and 2/42.

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

step 4 Write the fractions 1/7 and 2/42 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/7 + 2/42
= [(1 x 42)/(7 x 42)] + [(2 x 42)/(42 x 42)]

step 5 Simplify the expression to have common denominator:
= 6/42 + 2/42

step 6 Take the common values out and rewrite the above expression like the below:
= 1/42 x (6/1 + 2/1)
= 1/42 x (6 + 2)

step 7Simplify the above expression further:
= 1/42 x 8
= 8/42
= 4/21
1/7 + 2/42 = 4/21

Hence,
1/7 plus 2/42 as a fraction is 4/21.

---

1/7 + 2/42 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 2/42

What to be found?
(1/7)+(2/42) = ?
Find what's the sum of 1/7 and 2/42.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 42), find the product of numerator of Fraction B and denominator of Fraction A (2 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 42) and rewrite the equation as like the below:
= (1 x 42) + (2 x 7)/(7 x 42)

step 3 Simplify and rewrite the fraction:
= (42 + 14)/294
= 56/294
= 4/21
1/7 + 2/42 = 4/21

Hence,
1/7 plus 2/42 in fraction is 4/21