What is 9 - 3/19 in fraction?
9 - 3/19 equals to 168/19 in fraction form.
Learn how to find what is 9 minus 3/19 in fraction form just in a few minutes. We have covered the easiest method to write 9 - 3/19 as a fraction and decimal.
Summary: 9 minus 3/19 = 168/19
Since both fractions have unequal denominators, 9 minus 3/19 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 9 and fraction 3/19 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 (9 x 19/19) - (3/19 x 19/19), and simplify further in order to have the common denominator. So the equivalent fraction for 9 is 171/19 and for 3/19 is 3/19. By simplifying this fraction subtraction 171/19 - 3/19, it becomes 168/19.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 3/19 from 9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 9 minus 3/19.
1. LCM method
2. Cross multiplication method.
(9) - (3/19) using LCM Method:
What is 9 minus 3/19 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/1
Fraction B: 3/19
What to be found?
(9) - (3/19) = ?
Find what's the difference between 9 and 3/19.
step 2 Compare the denominators of fractions 9 and 3/19 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 9 and 3/19 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 9 and 3/19:
The LCM of 1 and 19 is 19.
step 4 Write the fractions 9 and 3/19 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9 - 3/19
= [(9 x 19)/(1 x 19)] - [(3 x 19)/(19 x 19)]
step 5 Simplify the expression to have common denominator:
= 171/19 - 3/19
step 6 Take the common values out and rewrite the above expression like the below:
= 1/19 x (171/1 - 3/1)
= 1/19 x (171 - 3)
step 7Simplify the above expression further:
= 1/19 x 168
= 168/19
9 - 3/19 = 168/19
Hence,
9 minus 3/19 as a fraction is 168/19.
9 - 3/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/1
Fraction B: 3/19
What to be found?
(9)-(3/19) = ?
Find what's the difference between 9 and 3/19.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 19), find the product of numerator of Fraction B and denominator of Fraction A (3 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:
= (9 x 19) - (3 x 1)/(1 x 19)
step 3 Simplify and rewrite the fraction:
= (171 - 3)/19
9 - 3/19 = 168/19
Hence,
9 minus 3/19 in fraction is 168/19