4/3 + 14/17 as a fraction

Learn how to find what is 4/3 plus 14/17 in fraction form just in a few minutes. We have covered the easiest method to write 4/3 + 14/17 as a fraction and decimal.

Summary: 4/3 plus 14/17 = 110/51
Since both fractions have unequal denominators, 4/3 plus 14/17 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 4/3 and fraction 14/17 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 (4/3 x 51/51) + (14/17 x 51/51), and simplify further in order to have the common denominator. So the equivalent fraction for 4/3 is 68/51 and for 14/17 is 42/51. By simplifying this fraction addition 68/51 + 42/51, it becomes 110/51.

CALCULATION: 4/3 + 14/17 as a fraction
4/3 + 14/17 = (?)
4/3 + 14/17 = [(4 x 17) + (14 x 3)]/(3 x 17)
= (68 + 42)/51
= 110/51
4/3 + 14/17 = 110/51
4/3 plus 14/17 as a fraction is 110/51.

where
4/3 is a improper fraction as an addend,
14/17 is a proper fraction as an addend,
110/51 is the sum of 4/3 and 14/17.

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4/3 plus 14/17 as a decimal
4/3 + 14/17 = 110/51
110/51 = 2.1569
(4/3) + (14/17) as a decimal is 2.1569

where
2.1569 is the sum of 4/3 and 14/17.

The below workout with step by step calculation shows how to find the equivalent fraction between 4/3 and 14/17 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 4/3 plus 14/17 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(4/3) + (14/17) using LCM Method:
What is 4/3 plus 14/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/3
Fraction B: 14/17

What to be found?
(4/3) + (14/17) = ?
Find what's the sum of 4/3 and 14/17.

step 2 Compare the denominators of fractions 4/3 and 14/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 4/3 and 14/17 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 4/3 and 14/17:
The LCM of 3 and 17 is 51.

step 4 Write the fractions 4/3 and 14/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 4/3 + 14/17
= [(4 x 51)/(3 x 51)] + [(14 x 51)/(17 x 51)]

step 5 Simplify the expression to have common denominator:
= 68/51 + 42/51

step 6 Take the common values out and rewrite the above expression like the below:
= 1/51 x (68/1 + 42/1)
= 1/51 x (68 + 42)

step 7Simplify the above expression further:
= 1/51 x 110
= 110/51
4/3 + 14/17 = 110/51

Hence,
4/3 plus 14/17 as a fraction is 110/51.

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4/3 + 14/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/3
Fraction B: 14/17

What to be found?
(4/3)+(14/17) = ?
Find what's the sum of 4/3 and 14/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (4 x 17), find the product of numerator of Fraction B and denominator of Fraction A (14 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:
= (4 x 17) + (14 x 3)/(3 x 17)

step 3 Simplify and rewrite the fraction:
= (68 + 42)/51
4/3 + 14/17 = 110/51

Hence,
4/3 plus 14/17 in fraction is 110/51