15/4 + 17/10 as a fraction

Learn how to find what is 15/4 plus 17/10 in fraction form just in a few minutes. We have covered the easiest method to write 15/4 + 17/10 as a fraction and decimal.

Summary: 15/4 plus 17/10 = 109/20
Since both fractions have unequal denominators, 15/4 plus 17/10 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 15/4 and fraction 17/10 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 10. 20 is the LCM of 4 and 10. Multiplying the LCM 20 with the numerators and denominators of both fractions (15/4 x 20/20) + (17/10 x 20/20), and simplify further in order to have the common denominator. So the equivalent fraction for 15/4 is 75/20 and for 17/10 is 34/20. By simplifying this fraction addition 75/20 + 34/20, it becomes 109/20.

CALCULATION: 15/4 + 17/10 as a fraction
15/4 + 17/10 = (?)
15/4 + 17/10 = [(15 x 10) + (17 x 4)]/(4 x 10)
= (150 + 68)/40
= 218/40
= (2 x 109)/(2 x 20)
= 109/20
15/4 + 17/10 = 109/20
15/4 plus 17/10 as a fraction is 109/20.

where
15/4 is a improper fraction as an addend,
17/10 is a improper fraction as an addend,
109/20 is the sum of 15/4 and 17/10.

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15/4 plus 17/10 as a decimal
15/4 + 17/10 = 109/20
109/20 = 5.45
(15/4) + (17/10) as a decimal is 5.45

where
5.45 is the sum of 15/4 and 17/10.

The below workout with step by step calculation shows how to find the equivalent fraction between 15/4 and 17/10 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 15/4 plus 17/10 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(15/4) + (17/10) using LCM Method:
What is 15/4 plus 17/10 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/4
Fraction B: 17/10

What to be found?
(15/4) + (17/10) = ?
Find what's the sum of 15/4 and 17/10.

step 2 Compare the denominators of fractions 15/4 and 17/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 15/4 and 17/10 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 15/4 and 17/10:
The LCM of 4 and 10 is 20.

step 4 Write the fractions 15/4 and 17/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 15/4 + 17/10
= [(15 x 20)/(4 x 20)] + [(17 x 20)/(10 x 20)]

step 5 Simplify the expression to have common denominator:
= 75/20 + 34/20

step 6 Take the common values out and rewrite the above expression like the below:
= 1/20 x (75/1 + 34/1)
= 1/20 x (75 + 34)

step 7Simplify the above expression further:
= 1/20 x 109
= 109/20
15/4 + 17/10 = 109/20

Hence,
15/4 plus 17/10 as a fraction is 109/20.

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15/4 + 17/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/4
Fraction B: 17/10

What to be found?
(15/4)+(17/10) = ?
Find what's the sum of 15/4 and 17/10.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (15 x 10), find the product of numerator of Fraction B and denominator of Fraction A (17 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 10) and rewrite the equation as like the below:
= (15 x 10) + (17 x 4)/(4 x 10)

step 3 Simplify and rewrite the fraction:
= (150 + 68)/40
= 218/40
= 109/20
15/4 + 17/10 = 109/20

Hence,
15/4 plus 17/10 in fraction is 109/20