What is 1/2 plus 4/19 in fraction?
1/2 plus 4/19 equals to 27/38 in fraction form.
Learn how to find what is 1/2 plus 4/19 in fraction form just in a few minutes. We have covered the easiest method to write 1/2 + 4/19 as a fraction and decimal.
Summary: 1/2 plus 4/19
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/2 and 4/19 having identical denominators before starting adding the fractions. Find the LCM of denominators, 38 is the LCM of 2 and 19. Multiply the LCM 38 with all the numerators and denominators of both fractions (1/2 x 38/38) + (4/19 x 38/38) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 27/38.
The below workout with step by step calculation shows how to find the equivalent fraction between 1/2 and 4/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/2 plus 4/19 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/2+4/19 using LCM Method:
What is 1/2 plus 4/19 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 4/19
What to be found?
1/2+4/19 = ?
Find what's the sum of 1/2 and 4/19.
step 2 Compare the denominators of fractions 1/2 and 4/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/2 and 4/19 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 1/2 and 4/19:
The LCM of 2 and 19 is 38.
step 4 Write the fractions 1/2 and 4/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/2+4/19
=(1 x 38)/(2 x 38)+(4 x 38)/(19 x 38)
step 5 Simplify the expression to have common denominator:
=19/38+8/38
step 6 Take the common values out and rewrite the above expression like the below:
=1/38 x (19/1+8/1)
=1/38 x (19 + 8)
step 7Simplify the above expression further:
=1/38 x 27
=27/38
1/2+4/19=27/38
Hence,
1/2 plus 4/19 equals to 27/38 in fraction.
1/2+4/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 4/19
What to be found?
1/2+4/19 = ?
Find what's the sum of 1/2 and 4/19.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 19), find the product of numerator of Fraction B and denominator of Fraction A (4 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 19) and rewrite the equation as like the below:
= (1 x 19) + (4 x 2)/(2 x 19)
step 3 Simplify and rewrite the fraction:
= (19 + 8)/38
1/2+4/19 = 27/38
Hence,
1/2 plus 4/19 = 27/38