10/3 + 17/10 as a fraction

Learn how to find what is 10/3 plus 17/10 in fraction form just in a few minutes. We have covered the easiest method to write 10/3 + 17/10 as a fraction and decimal.

Summary: 10/3 plus 17/10 = 151/30
Since both fractions have unequal denominators, 10/3 plus 17/10 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 10/3 and fraction 17/10 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 10. 30 is the LCM of 3 and 10. Multiplying the LCM 30 with the numerators and denominators of both fractions (10/3 x 30/30) + (17/10 x 30/30), and simplify further in order to have the common denominator. So the equivalent fraction for 10/3 is 100/30 and for 17/10 is 51/30. By simplifying this fraction addition 100/30 + 51/30, it becomes 151/30.

CALCULATION: 10/3 + 17/10 as a fraction
10/3 + 17/10 = (?)
10/3 + 17/10 = [(10 x 10) + (17 x 3)]/(3 x 10)
= (100 + 51)/30
= 151/30
10/3 + 17/10 = 151/30
10/3 plus 17/10 as a fraction is 151/30.

where
10/3 is a improper fraction as an addend,
17/10 is a improper fraction as an addend,
151/30 is the sum of 10/3 and 17/10.

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10/3 plus 17/10 as a decimal
10/3 + 17/10 = 151/30
151/30 = 5.0333
(10/3) + (17/10) as a decimal is 5.0333

where
5.0333 is the sum of 10/3 and 17/10.

The below workout with step by step calculation shows how to find the equivalent fraction between 10/3 and 17/10 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 10/3 plus 17/10 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(10/3) + (17/10) using LCM Method:
What is 10/3 plus 17/10 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/3
Fraction B: 17/10

What to be found?
(10/3) + (17/10) = ?
Find what's the sum of 10/3 and 17/10.

step 2 Compare the denominators of fractions 10/3 and 17/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 10/3 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 10/3 and 17/10:
The LCM of 3 and 10 is 30.

step 4 Write the fractions 10/3 and 17/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 10/3 + 17/10
= [(10 x 30)/(3 x 30)] + [(17 x 30)/(10 x 30)]

step 5 Simplify the expression to have common denominator:
= 100/30 + 51/30

step 6 Take the common values out and rewrite the above expression like the below:
= 1/30 x (100/1 + 51/1)
= 1/30 x (100 + 51)

step 7Simplify the above expression further:
= 1/30 x 151
= 151/30
10/3 + 17/10 = 151/30

Hence,
10/3 plus 17/10 as a fraction is 151/30.

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10/3 + 17/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/3
Fraction B: 17/10

What to be found?
(10/3)+(17/10) = ?
Find what's the sum of 10/3 and 17/10.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (10 x 10), find the product of numerator of Fraction B and denominator of Fraction A (17 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 10) and rewrite the equation as like the below:
= (10 x 10) + (17 x 3)/(3 x 10)

step 3 Simplify and rewrite the fraction:
= (100 + 51)/30
10/3 + 17/10 = 151/30

Hence,
10/3 plus 17/10 in fraction is 151/30