What is 1/8 plus 1/19 in fraction?
1/8 plus 1/19 equals to 27/152 in fraction form.
Learn how to find what is 1/8 plus 1/19 in fraction form just in a few minutes. We have covered the easiest method to write 1/8 + 1/19 as a fraction and decimal.
Summary: 1/8 plus 1/19
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/8 and 1/19 having identical denominators before starting adding the fractions. Find the LCM of denominators, 152 is the LCM of 8 and 19. Multiply the LCM 152 with all the numerators and denominators of both fractions (1/8 x 152/152) + (1/19 x 152/152) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 27/152.
The below workout with step by step calculation shows how to find the equivalent fraction between 1/8 and 1/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/8 plus 1/19 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/8+1/19 using LCM Method:
What is 1/8 plus 1/19 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/8
Fraction B: 1/19
What to be found?
1/8+1/19 = ?
Find what's the sum of 1/8 and 1/19.
step 2 Compare the denominators of fractions 1/8 and 1/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/8 and 1/19 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 1/8 and 1/19:
The LCM of 8 and 19 is 152.
step 4 Write the fractions 1/8 and 1/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/8+1/19
=(1 x 152)/(8 x 152)+(1 x 152)/(19 x 152)
step 5 Simplify the expression to have common denominator:
=19/152+8/152
step 6 Take the common values out and rewrite the above expression like the below:
=1/152 x (19/1+8/1)
=1/152 x (19 + 8)
step 7Simplify the above expression further:
=1/152 x 27
=27/152
1/8+1/19=27/152
Hence,
1/8 plus 1/19 equals to 27/152 in fraction.
1/8+1/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/8
Fraction B: 1/19
What to be found?
1/8+1/19 = ?
Find what's the sum of 1/8 and 1/19.
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 (1 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 19) and rewrite the equation as like the below:
= (1 x 19) + (1 x 8)/(8 x 19)
step 3 Simplify and rewrite the fraction:
= (19 + 8)/152
1/8+1/19 = 27/152
Hence,
1/8 plus 1/19 = 27/152