What is 8 - 6/19 in fraction?
8 - 6/19 equals to 146/19 in fraction form.
Learn how to find what is 8 minus 6/19 in fraction form just in a few minutes. We have covered the easiest method to write 8 - 6/19 as a fraction and decimal.
Summary: 8 minus 6/19 = 146/19
Since both fractions have unequal denominators, 8 minus 6/19 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 8 and fraction 6/19 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 (8 x 19/19) - (6/19 x 19/19), and simplify further in order to have the common denominator. So the equivalent fraction for 8 is 152/19 and for 6/19 is 6/19. By simplifying this fraction subtraction 152/19 - 6/19, it becomes 146/19.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 6/19 from 8. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 8 minus 6/19.
1. LCM method
2. Cross multiplication method.
(8) - (6/19) using LCM Method:
What is 8 minus 6/19 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/1
Fraction B: 6/19
What to be found?
(8) - (6/19) = ?
Find what's the difference between 8 and 6/19.
step 2 Compare the denominators of fractions 8 and 6/19 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 8 and 6/19 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 8 and 6/19:
The LCM of 1 and 19 is 19.
step 4 Write the fractions 8 and 6/19 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 8 - 6/19
= [(8 x 19)/(1 x 19)] - [(6 x 19)/(19 x 19)]
step 5 Simplify the expression to have common denominator:
= 152/19 - 6/19
step 6 Take the common values out and rewrite the above expression like the below:
= 1/19 x (152/1 - 6/1)
= 1/19 x (152 - 6)
step 7Simplify the above expression further:
= 1/19 x 146
= 146/19
8 - 6/19 = 146/19
Hence,
8 minus 6/19 as a fraction is 146/19.
8 - 6/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/1
Fraction B: 6/19
What to be found?
(8)-(6/19) = ?
Find what's the difference between 8 and 6/19.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 19), find the product of numerator of Fraction B and denominator of Fraction A (6 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:
= (8 x 19) - (6 x 1)/(1 x 19)
step 3 Simplify and rewrite the fraction:
= (152 - 6)/19
8 - 6/19 = 146/19
Hence,
8 minus 6/19 in fraction is 146/19