17/5 + 1/10 as a fraction

Learn how to find what is 17/5 plus 1/10 in fraction form just in a few minutes. We have covered the easiest method to write 17/5 + 1/10 as a fraction and decimal.

Summary: 17/5 plus 1/10 = 7/2
Since both fractions have unequal denominators, 17/5 plus 1/10 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/5 and fraction 1/10 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 10. 10 is the LCM of 5 and 10. Multiplying the LCM 10 with the numerators and denominators of both fractions (17/5 x 10/10) + (1/10 x 10/10), and simplify further in order to have the common denominator. So the equivalent fraction for 17/5 is 34/10 and for 1/10 is 1/10. By simplifying this fraction addition 34/10 + 1/10, it becomes 35/10.

CALCULATION: 17/5 + 1/10 as a fraction
17/5 + 1/10 = (?)
17/5 + 1/10 = [(17 x 10) + (1 x 5)]/(5 x 10)
= (170 + 5)/50
= 175/50
= (25 x 7)/(25 x 2)
= 7/2
17/5 + 1/10 = 7/2
17/5 plus 1/10 as a fraction is 7/2.

where
17/5 is a improper fraction as an addend,
1/10 is a proper fraction as an addend,
7/2 is the sum of 17/5 and 1/10.

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17/5 plus 1/10 as a decimal
17/5 + 1/10 = 7/2
7/2 = 3.5
(17/5) + (1/10) as a decimal is 3.5

where
3.5 is the sum of 17/5 and 1/10.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/5 and 1/10 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 17/5 plus 1/10 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/5) + (1/10) using LCM Method:
What is 17/5 plus 1/10 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/5
Fraction B: 1/10

What to be found?
(17/5) + (1/10) = ?
Find what's the sum of 17/5 and 1/10.

step 2 Compare the denominators of fractions 17/5 and 1/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/5 and 1/10 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 17/5 and 1/10:
The LCM of 5 and 10 is 10.

step 4 Write the fractions 17/5 and 1/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/5 + 1/10
= [(17 x 10)/(5 x 10)] + [(1 x 10)/(10 x 10)]

step 5 Simplify the expression to have common denominator:
= 34/10 + 1/10

step 6 Take the common values out and rewrite the above expression like the below:
= 1/10 x (34/1 + 1/1)
= 1/10 x (34 + 1)

step 7Simplify the above expression further:
= 1/10 x 35
= 35/10
= 7/2
17/5 + 1/10 = 7/2

Hence,
17/5 plus 1/10 as a fraction is 7/2.

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17/5 + 1/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/5
Fraction B: 1/10

What to be found?
(17/5)+(1/10) = ?
Find what's the sum of 17/5 and 1/10.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 10), find the product of numerator of Fraction B and denominator of Fraction A (1 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 10) and rewrite the equation as like the below:
= (17 x 10) + (1 x 5)/(5 x 10)

step 3 Simplify and rewrite the fraction:
= (170 + 5)/50
= 175/50
= 7/2
17/5 + 1/10 = 7/2

Hence,
17/5 plus 1/10 in fraction is 7/2