7/4 + 7/19 as a fraction

Learn how to find what is 7/4 plus 7/19 in fraction form just in a few minutes. We have covered the easiest method to write 7/4 + 7/19 as a fraction and decimal.

Summary: 7/4 plus 7/19 = 161/76
Since both fractions have unequal denominators, 7/4 plus 7/19 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/4 and fraction 7/19 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 19. 76 is the LCM of 4 and 19. Multiplying the LCM 76 with the numerators and denominators of both fractions (7/4 x 76/76) + (7/19 x 76/76), and simplify further in order to have the common denominator. So the equivalent fraction for 7/4 is 133/76 and for 7/19 is 28/76. By simplifying this fraction addition 133/76 + 28/76, it becomes 161/76.

CALCULATION: 7/4 + 7/19 as a fraction
7/4 + 7/19 = (?)
7/4 + 7/19 = [(7 x 19) + (7 x 4)]/(4 x 19)
= (133 + 28)/76
= 161/76
7/4 + 7/19 = 161/76
7/4 plus 7/19 as a fraction is 161/76.

where
7/4 is a improper fraction as an addend,
7/19 is a proper fraction as an addend,
161/76 is the sum of 7/4 and 7/19.

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7/4 plus 7/19 as a decimal
7/4 + 7/19 = 161/76
161/76 = 2.1184
(7/4) + (7/19) as a decimal is 2.1184

where
2.1184 is the sum of 7/4 and 7/19.

The below workout with step by step calculation shows how to find the equivalent fraction between 7/4 and 7/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 7/4 plus 7/19 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(7/4) + (7/19) using LCM Method:
What is 7/4 plus 7/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/4
Fraction B: 7/19

What to be found?
(7/4) + (7/19) = ?
Find what's the sum of 7/4 and 7/19.

step 2 Compare the denominators of fractions 7/4 and 7/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/4 and 7/19 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 7/4 and 7/19:
The LCM of 4 and 19 is 76.

step 4 Write the fractions 7/4 and 7/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/4 + 7/19
= [(7 x 76)/(4 x 76)] + [(7 x 76)/(19 x 76)]

step 5 Simplify the expression to have common denominator:
= 133/76 + 28/76

step 6 Take the common values out and rewrite the above expression like the below:
= 1/76 x (133/1 + 28/1)
= 1/76 x (133 + 28)

step 7Simplify the above expression further:
= 1/76 x 161
= 161/76
7/4 + 7/19 = 161/76

Hence,
7/4 plus 7/19 as a fraction is 161/76.

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7/4 + 7/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/4
Fraction B: 7/19

What to be found?
(7/4)+(7/19) = ?
Find what's the sum of 7/4 and 7/19.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 19), find the product of numerator of Fraction B and denominator of Fraction A (7 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 19) and rewrite the equation as like the below:
= (7 x 19) + (7 x 4)/(4 x 19)

step 3 Simplify and rewrite the fraction:
= (133 + 28)/76
7/4 + 7/19 = 161/76

Hence,
7/4 plus 7/19 in fraction is 161/76