What is 1/6 plus 3/19 in fraction?
1/6 plus 3/19 equals to 37/114 in fraction form.
1/6 + 3/19 in fraction form
Learn how to find what is 1/6 plus 3/19 in fraction form just in a few minutes. We have covered the easiest method to write 1/6 + 3/19 as a fraction and decimal.
Summary: 1/6 plus 3/19
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/6 and 3/19 having identical denominators before starting adding the fractions. Find the LCM of denominators, 114 is the LCM of 6 and 19. Multiply the LCM 114 with all the numerators and denominators of both fractions (1/6 x 114/114) + (3/19 x 114/114) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 37/114.
1/6+3/19 as a fraction
1/6 + 3/19 = (?)
1/6 + 3/19 = [(1 x 19) + (3 x 6)]/(6 x 19)
= (19 + 18)/114
= 37/114
1/6 + 3/19 = 37/114
1/6 plus 3/19 as a fraction is 37/114.
where
1/6 is a fraction as an addend,
3/19 is a fraction as an addend,
37/114 is the sum of 1/6 and 3/19.
1/6 plus 3/19 as a decimal
1/6 + 3/19 = 37/114
37/114 = 0.3246
1/6+3/19 as a decimal is 0.3246
where
0.3246 is the sum of 1/6 and 3/19.
How to find 1/6+3/19 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 1/6 and 3/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/6 plus 3/19 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/6+3/19 using LCM Method:
What is 1/6 plus 3/19 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 3/19
What to be found?
1/6+3/19 = ?
Find what's the sum of 1/6 and 3/19.
step 2 Compare the denominators of fractions 1/6 and 3/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/6 and 3/19 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 1/6 and 3/19:
The LCM of 6 and 19 is 114.
step 4 Write the fractions 1/6 and 3/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/6+3/19
=(1 x 114)/(6 x 114)+(3 x 114)/(19 x 114)
step 5 Simplify the expression to have common denominator:
=19/114+18/114
step 6 Take the common values out and rewrite the above expression like the below:
=1/114 x (19/1+18/1)
=1/114 x (19 + 18)
step 7Simplify the above expression further:
=1/114 x 37
=37/114
1/6+3/19=37/114
Hence,
1/6 plus 3/19 equals to 37/114 in fraction.
1/6+3/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 3/19
What to be found?
1/6+3/19 = ?
Find what's the sum of 1/6 and 3/19.
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 (3 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 19) and rewrite the equation as like the below:
= (1 x 19) + (3 x 6)/(6 x 19)
step 3 Simplify and rewrite the fraction:
= (19 + 18)/114
1/6+3/19 = 37/114
Hence,
1/6 plus 3/19 = 37/114