What is 6 - 5/19 in fraction?
6 - 5/19 equals to 109/19 in fraction form.
Learn how to find what is 6 minus 5/19 in fraction form just in a few minutes. We have covered the easiest method to write 6 - 5/19 as a fraction and decimal.
Summary: 6 minus 5/19 = 109/19
Since both fractions have unequal denominators, 6 minus 5/19 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 6 and fraction 5/19 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 19. 19 is the LCM of 1 and 19. Multiplying the LCM 19 with the numerators and denominators of both fractions (6 x 19/19) - (5/19 x 19/19), and simplify further in order to have the common denominator. So the equivalent fraction for 6 is 114/19 and for 5/19 is 5/19. By simplifying this fraction subtraction 114/19 - 5/19, it becomes 109/19.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/19 from 6. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 6 minus 5/19.
1. LCM method
2. Cross multiplication method.
(6) - (5/19) using LCM Method:
What is 6 minus 5/19 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/1
Fraction B: 5/19
What to be found?
(6) - (5/19) = ?
Find what's the difference between 6 and 5/19.
step 2 Compare the denominators of fractions 6 and 5/19 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 6 and 5/19 are not equal, it is said to be unlike fractions subtraction.
step 3For unlike fractions subtraction, find the LCM (least common multiple) of both denominators of fractions 6 and 5/19:
The LCM of 1 and 19 is 19.
step 4 Write the fractions 6 and 5/19 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 6 - 5/19
= [(6 x 19)/(1 x 19)] - [(5 x 19)/(19 x 19)]
step 5 Simplify the expression to have common denominator:
= 114/19 - 5/19
step 6 Take the common values out and rewrite the above expression like the below:
= 1/19 x (114/1 - 5/1)
= 1/19 x (114 - 5)
step 7Simplify the above expression further:
= 1/19 x 109
= 109/19
6 - 5/19 = 109/19
Hence,
6 minus 5/19 as a fraction is 109/19.
6 - 5/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/1
Fraction B: 5/19
What to be found?
(6)-(5/19) = ?
Find what's the difference between 6 and 5/19.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (6 x 19), find the product of numerator of Fraction B and denominator of Fraction A (5 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 19) and rewrite the equation as like the below:
= (6 x 19) - (5 x 1)/(1 x 19)
step 3 Simplify and rewrite the fraction:
= (114 - 5)/19
6 - 5/19 = 109/19
Hence,
6 minus 5/19 in fraction is 109/19