1/7 + 2/17 in fraction form

Learn how to find what is 1/7 plus 2/17 in fraction form just in a few minutes. We have covered the easiest method to write 1/7 + 2/17 as a fraction and decimal.

Summary: 1/7 plus 2/17
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/7 and 2/17 having identical denominators before starting adding the fractions. Find the LCM of denominators, 119 is the LCM of 7 and 17. Multiply the LCM 119 with all the numerators and denominators of both fractions (1/7 x 119/119) + (2/17 x 119/119) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 31/119.

CALCULATION:
1/7+2/17 as a fraction
1/7 + 2/17 = (?)
1/7 + 2/17 = [(1 x 17) + (2 x 7)]/(7 x 17)
= (17 + 14)/119
= 31/119
1/7 + 2/17 = 31/119
1/7 plus 2/17 as a fraction is 31/119.

where
1/7 is a fraction as an addend,
2/17 is a fraction as an addend,
31/119 is the sum of 1/7 and 2/17.

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1/7 plus 2/17 as a decimal
1/7 + 2/17 = 31/119
31/119 = 0.2605
1/7+2/17 as a decimal is 0.2605
where
0.2605 is the sum of 1/7 and 2/17.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/7 and 2/17 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/7 plus 2/17 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

1/7+2/17 using LCM Method:
What is 1/7 plus 2/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 2/17

What to be found?
1/7+2/17 = ?
Find what's the sum of 1/7 and 2/17.

step 2 Compare the denominators of fractions 1/7 and 2/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/7 and 2/17 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 2/17:
The LCM of 7 and 17 is 119.

step 4 Write the fractions 1/7 and 2/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/7+2/17
=(1 x 119)/(7 x 119)+(2 x 119)/(17 x 119)

step 5 Simplify the expression to have common denominator:
=17/119+14/119

step 6 Take the common values out and rewrite the above expression like the below:
=1/119 x (17/1+14/1)
=1/119 x (17 + 14)

step 7Simplify the above expression further:
=1/119 x 31
=31/119
1/7+2/17=31/119

Hence,
1/7 plus 2/17 equals to 31/119 in fraction.

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1/7+2/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 2/17

What to be found?
1/7+2/17 = ?
Find what's the sum of 1/7 and 2/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 17), 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 17) and rewrite the equation as like the below:
= (1 x 17) + (2 x 7)/(7 x 17)

step 3 Simplify and rewrite the fraction:
= (17 + 14)/119
1/7+2/17 = 31/119
Hence,
1/7 plus 2/17 = 31/119