10/3 + 16/17 as a fraction

Learn how to find what is 10/3 plus 16/17 in fraction form just in a few minutes. We have covered the easiest method to write 10/3 + 16/17 as a fraction and decimal.

Summary: 10/3 plus 16/17 = 218/51
Since both fractions have unequal denominators, 10/3 plus 16/17 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 10/3 and fraction 16/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 17. 51 is the LCM of 3 and 17. Multiplying the LCM 51 with the numerators and denominators of both fractions (10/3 x 51/51) + (16/17 x 51/51), and simplify further in order to have the common denominator. So the equivalent fraction for 10/3 is 170/51 and for 16/17 is 48/51. By simplifying this fraction addition 170/51 + 48/51, it becomes 218/51.

CALCULATION: 10/3 + 16/17 as a fraction
10/3 + 16/17 = (?)
10/3 + 16/17 = [(10 x 17) + (16 x 3)]/(3 x 17)
= (170 + 48)/51
= 218/51
10/3 + 16/17 = 218/51
10/3 plus 16/17 as a fraction is 218/51.

where
10/3 is a improper fraction as an addend,
16/17 is a proper fraction as an addend,
218/51 is the sum of 10/3 and 16/17.

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10/3 plus 16/17 as a decimal
10/3 + 16/17 = 218/51
218/51 = 4.2745
(10/3) + (16/17) as a decimal is 4.2745

where
4.2745 is the sum of 10/3 and 16/17.

The below workout with step by step calculation shows how to find the equivalent fraction between 10/3 and 16/17 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 10/3 plus 16/17 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(10/3) + (16/17) using LCM Method:
What is 10/3 plus 16/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/3
Fraction B: 16/17

What to be found?
(10/3) + (16/17) = ?
Find what's the sum of 10/3 and 16/17.

step 2 Compare the denominators of fractions 10/3 and 16/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 10/3 and 16/17 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 10/3 and 16/17:
The LCM of 3 and 17 is 51.

step 4 Write the fractions 10/3 and 16/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 10/3 + 16/17
= [(10 x 51)/(3 x 51)] + [(16 x 51)/(17 x 51)]

step 5 Simplify the expression to have common denominator:
= 170/51 + 48/51

step 6 Take the common values out and rewrite the above expression like the below:
= 1/51 x (170/1 + 48/1)
= 1/51 x (170 + 48)

step 7Simplify the above expression further:
= 1/51 x 218
= 218/51
10/3 + 16/17 = 218/51

Hence,
10/3 plus 16/17 as a fraction is 218/51.

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10/3 + 16/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/3
Fraction B: 16/17

What to be found?
(10/3)+(16/17) = ?
Find what's the sum of 10/3 and 16/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (10 x 17), find the product of numerator of Fraction B and denominator of Fraction A (16 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 17) and rewrite the equation as like the below:
= (10 x 17) + (16 x 3)/(3 x 17)

step 3 Simplify and rewrite the fraction:
= (170 + 48)/51
10/3 + 16/17 = 218/51

Hence,
10/3 plus 16/17 in fraction is 218/51