17/9 + 7/4 as a fraction

Learn how to find what is 17/9 plus 7/4 in fraction form just in a few minutes. We have covered the easiest method to write 17/9 + 7/4 as a fraction and decimal.

Summary: 17/9 plus 7/4 = 131/36
Since both fractions have unequal denominators, 17/9 plus 7/4 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/9 and fraction 7/4 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 4. 36 is the LCM of 9 and 4. Multiplying the LCM 36 with the numerators and denominators of both fractions (17/9 x 36/36) + (7/4 x 36/36), and simplify further in order to have the common denominator. So the equivalent fraction for 17/9 is 68/36 and for 7/4 is 63/36. By simplifying this fraction addition 68/36 + 63/36, it becomes 131/36.

CALCULATION: 17/9 + 7/4 as a fraction
17/9 + 7/4 = (?)
17/9 + 7/4 = [(17 x 4) + (7 x 9)]/(9 x 4)
= (68 + 63)/36
= 131/36
17/9 + 7/4 = 131/36
17/9 plus 7/4 as a fraction is 131/36.

where
17/9 is a improper fraction as an addend,
7/4 is a improper fraction as an addend,
131/36 is the sum of 17/9 and 7/4.

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17/9 plus 7/4 as a decimal
17/9 + 7/4 = 131/36
131/36 = 3.6389
(17/9) + (7/4) as a decimal is 3.6389

where
3.6389 is the sum of 17/9 and 7/4.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/9 and 7/4 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 17/9 plus 7/4 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/9) + (7/4) using LCM Method:
What is 17/9 plus 7/4 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/9
Fraction B: 7/4

What to be found?
(17/9) + (7/4) = ?
Find what's the sum of 17/9 and 7/4.

step 2 Compare the denominators of fractions 17/9 and 7/4 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/9 and 7/4 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 17/9 and 7/4:
The LCM of 9 and 4 is 36.

step 4 Write the fractions 17/9 and 7/4 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/9 + 7/4
= [(17 x 36)/(9 x 36)] + [(7 x 36)/(4 x 36)]

step 5 Simplify the expression to have common denominator:
= 68/36 + 63/36

step 6 Take the common values out and rewrite the above expression like the below:
= 1/36 x (68/1 + 63/1)
= 1/36 x (68 + 63)

step 7Simplify the above expression further:
= 1/36 x 131
= 131/36
17/9 + 7/4 = 131/36

Hence,
17/9 plus 7/4 as a fraction is 131/36.

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17/9 + 7/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/9
Fraction B: 7/4

What to be found?
(17/9)+(7/4) = ?
Find what's the sum of 17/9 and 7/4.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 4), find the product of numerator of Fraction B and denominator of Fraction A (7 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 4) and rewrite the equation as like the below:
= (17 x 4) + (7 x 9)/(9 x 4)

step 3 Simplify and rewrite the fraction:
= (68 + 63)/36
17/9 + 7/4 = 131/36

Hence,
17/9 plus 7/4 in fraction is 131/36