8/17 + 12 as a fraction

Learn how to find what is 8/17 plus 12 in fraction form just in a few minutes. We have covered the easiest method to write 8/17 + 12 as a fraction and decimal.

Summary: 8/17 plus 12 = 212/17
Since both fractions have unequal denominators, 8/17 plus 12 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 8/17 and fraction 12 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 17 and 1. 17 is the LCM of 17 and 1. Multiplying the LCM 17 with the numerators and denominators of both fractions (8/17 x 17/17) + (12 x 17/17), and simplify further in order to have the common denominator. So the equivalent fraction for 8/17 is 8/17 and for 12 is 204/17. By simplifying this fraction addition 8/17 + 204/17, it becomes 212/17.

CALCULATION: 8/17 + 12 as a fraction
8/17 + 12 = (?)
8/17 + 12/1 = [(8 x 1) + (12 x 17)]/(17 x 1)
= (8 + 204)/17
= 212/17
8/17 + 12 = 212/17
8/17 plus 12 as a fraction is 212/17.

where
8/17 is a proper fraction as an addend,
12 is a whole number as an addend,
212/17 is the sum of 8/17 and 12.

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8/17 plus 12 as a decimal
8/17 + 12 = 212/17
212/17 = 12.4706
(8/17) + (12) as a decimal is 12.4706

where
12.4706 is the sum of 8/17 and 12.

The below workout with step by step calculation shows how to find the equivalent fraction between 8/17 and 12 by adding fraction to a whole number . The sum in fraction form for 8/17 plus 12/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(8/17) + (12) using LCM Method:
What is 8/17 plus 12 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/17
Fraction B: 12/1

What to be found?
(8/17) + (12) = ?
Find what's the sum of 8/17 and 12.

step 2 Compare the denominators of fractions 8/17 and 12 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 8/17 and 12 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 8/17 and 12:
The LCM of 17 and 1 is 17.

step 4 Write the fractions 8/17 and 12 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 8/17 + 12
= [(8 x 17)/(17 x 17)] + [(12 x 17)/(1 x 17)]

step 5 Simplify the expression to have common denominator:
= 8/17 + 204/17

step 6 Take the common values out and rewrite the above expression like the below:
= 1/17 x (8/1 + 204/1)
= 1/17 x (8 + 204)

step 7Simplify the above expression further:
= 1/17 x 212
= 212/17
8/17 + 12 = 212/17

Hence,
8/17 plus 12 as a fraction is 212/17.

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8/17 + 12 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/17
Fraction B: 12/1

What to be found?
(8/17)+(12) = ?
Find what's the sum of 8/17 and 12.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 1), find the product of numerator of Fraction B and denominator of Fraction A (12 x 17), and find the product of both denominators of Fraction A and Fraction B (17 x 1) and rewrite the equation as like the below:
= (8 x 1) + (12 x 17)/(17 x 1)

step 3 Simplify and rewrite the fraction:
= (8 + 204)/17
8/17 + 12 = 212/17

Hence,
8/17 plus 12 in fraction is 212/17