12/1 + 5/17 as a fraction

Learn how to find what is 12/1 plus 5/17 in fraction form just in a few minutes. We have covered the easiest method to write 12/1 + 5/17 as a fraction and decimal.

Summary: 12/1 plus 5/17 = 209/17
Since both fractions have unequal denominators, 12/1 plus 5/17 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 12/1 and fraction 5/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 17. 17 is the LCM of 1 and 17. Multiplying the LCM 17 with the numerators and denominators of both fractions (12/1 x 17/17) + (5/17 x 17/17), and simplify further in order to have the common denominator. So the equivalent fraction for 12/1 is 204/17 and for 5/17 is 5/17. By simplifying this fraction addition 204/17 + 5/17, it becomes 209/17.

CALCULATION: 12/1 + 5/17 as a fraction
12/1 + 5/17 = (?)
12/1 + 5/17 = [(12 x 17) + (5 x 1)]/(1 x 17)
= (204 + 5)/17
= 209/17
12/1 + 5/17 = 209/17
12/1 plus 5/17 as a fraction is 209/17.

where
12/1 is a improper fraction as an addend,
5/17 is a proper fraction as an addend,
209/17 is the sum of 12/1 and 5/17.

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12/1 plus 5/17 as a decimal
12/1 + 5/17 = 209/17
209/17 = 12.2941
(12/1) + (5/17) as a decimal is 12.2941

where
12.2941 is the sum of 12/1 and 5/17.

The below workout with step by step calculation shows how to find the equivalent fraction between 12/1 and 5/17 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 12/1 plus 5/17 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(12/1) + (5/17) using LCM Method:
What is 12/1 plus 5/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/1
Fraction B: 5/17

What to be found?
(12/1) + (5/17) = ?
Find what's the sum of 12/1 and 5/17.

step 2 Compare the denominators of fractions 12/1 and 5/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 12/1 and 5/17 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 12/1 and 5/17:
The LCM of 1 and 17 is 17.

step 4 Write the fractions 12/1 and 5/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 12/1 + 5/17
= [(12 x 17)/(1 x 17)] + [(5 x 17)/(17 x 17)]

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

step 6 Take the common values out and rewrite the above expression like the below:
= 1/17 x (204/1 + 5/1)
= 1/17 x (204 + 5)

step 7Simplify the above expression further:
= 1/17 x 209
= 209/17
12/1 + 5/17 = 209/17

Hence,
12/1 plus 5/17 as a fraction is 209/17.

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12/1 + 5/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/1
Fraction B: 5/17

What to be found?
(12/1)+(5/17) = ?
Find what's the sum of 12/1 and 5/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (12 x 17), find the product of numerator of Fraction B and denominator of Fraction A (5 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 17) and rewrite the equation as like the below:
= (12 x 17) + (5 x 1)/(1 x 17)

step 3 Simplify and rewrite the fraction:
= (204 + 5)/17
12/1 + 5/17 = 209/17

Hence,
12/1 plus 5/17 in fraction is 209/17