14/19 + 5/16 as a fraction

Learn how to find what is 14/19 plus 5/16 in fraction form just in a few minutes. We have covered the easiest method to write 14/19 + 5/16 as a fraction and decimal.

Summary: 14/19 plus 5/16 = 319/304
Since both fractions have unequal denominators, 14/19 plus 5/16 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 14/19 and fraction 5/16 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 19 and 16. 304 is the LCM of 19 and 16. Multiplying the LCM 304 with the numerators and denominators of both fractions (14/19 x 304/304) + (5/16 x 304/304), and simplify further in order to have the common denominator. So the equivalent fraction for 14/19 is 224/304 and for 5/16 is 95/304. By simplifying this fraction addition 224/304 + 95/304, it becomes 319/304.

CALCULATION: 14/19 + 5/16 as a fraction
14/19 + 5/16 = (?)
14/19 + 5/16 = [(14 x 16) + (5 x 19)]/(19 x 16)
= (224 + 95)/304
= 319/304
14/19 + 5/16 = 319/304
14/19 plus 5/16 as a fraction is 319/304.

where
14/19 is a proper fraction as an addend,
5/16 is a proper fraction as an addend,
319/304 is the sum of 14/19 and 5/16.

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14/19 plus 5/16 as a decimal
14/19 + 5/16 = 319/304
319/304 = 1.0493
(14/19) + (5/16) as a decimal is 1.0493

where
1.0493 is the sum of 14/19 and 5/16.

The below workout with step by step calculation shows how to find the equivalent fraction between 14/19 and 5/16 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 14/19 plus 5/16 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(14/19) + (5/16) using LCM Method:
What is 14/19 plus 5/16 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/19
Fraction B: 5/16

What to be found?
(14/19) + (5/16) = ?
Find what's the sum of 14/19 and 5/16.

step 2 Compare the denominators of fractions 14/19 and 5/16 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 14/19 and 5/16 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 14/19 and 5/16:
The LCM of 19 and 16 is 304.

step 4 Write the fractions 14/19 and 5/16 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 14/19 + 5/16
= [(14 x 304)/(19 x 304)] + [(5 x 304)/(16 x 304)]

step 5 Simplify the expression to have common denominator:
= 224/304 + 95/304

step 6 Take the common values out and rewrite the above expression like the below:
= 1/304 x (224/1 + 95/1)
= 1/304 x (224 + 95)

step 7Simplify the above expression further:
= 1/304 x 319
= 319/304
14/19 + 5/16 = 319/304

Hence,
14/19 plus 5/16 as a fraction is 319/304.

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14/19 + 5/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/19
Fraction B: 5/16

What to be found?
(14/19)+(5/16) = ?
Find what's the sum of 14/19 and 5/16.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (14 x 16), find the product of numerator of Fraction B and denominator of Fraction A (5 x 19), and find the product of both denominators of Fraction A and Fraction B (19 x 16) and rewrite the equation as like the below:
= (14 x 16) + (5 x 19)/(19 x 16)

step 3 Simplify and rewrite the fraction:
= (224 + 95)/304
14/19 + 5/16 = 319/304

Hence,
14/19 plus 5/16 in fraction is 319/304