16/9 - 18/19 as a fraction

Learn how to find what is 16/9 minus 18/19 in fraction form just in a few minutes. We have covered the easiest method to write 16/9 - 18/19 as a fraction and decimal.

Summary: 16/9 minus 18/19 = 142/171
Since both fractions have unequal denominators, 16/9 minus 18/19 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 16/9 and fraction 18/19 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 19. 171 is the LCM of 9 and 19. Multiplying the LCM 171 with the numerators and denominators of both fractions (16/9 x 171/171) - (18/19 x 171/171), and simplify further in order to have the common denominator. So the equivalent fraction for 16/9 is 304/171 and for 18/19 is 162/171. By simplifying this fraction subtraction 304/171 - 162/171, it becomes 142/171.

Pie Chart Representation: 16/9 - 18/19 = 142/171

CALCULATION: 16/9 - 18/19 as a fraction
16/9 - 18/19 = (?)
16/9 - 18/19 = [(16 x 19) - (18 x 9)]/(9 x 19)
= (304 - 162)/171
= 142/171
16/9 - 18/19 = 142/171
16/9 minus 18/19 as a fraction is 142/171.

where
16/9 is a improper fraction as a minuend,
18/19 is a proper fraction as a subtrahend,
142/171 is the difference between 16/9 and 18/19.

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16/9 minus 18/19 as a decimal
16/9 - 18/19 = 142/171
142/171 = 0.8304
(16/9) - (18/19) as a decimal is 0.8304

where
0.8304 is the difference between 16/9 and 18/19.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 18/19 from 16/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 16/9 minus 18/19.
1. LCM method
2. Cross multiplication method.

(16/9) - (18/19) using LCM Method:
What is 16/9 minus 18/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/9
Fraction B: 18/19

What to be found?
(16/9) - (18/19) = ?
Find what's the difference between 16/9 and 18/19.

step 2 Compare the denominators of fractions 16/9 and 18/19 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 16/9 and 18/19 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 16/9 and 18/19:
The LCM of 9 and 19 is 171.

step 4 Write the fractions 16/9 and 18/19 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/9 - 18/19
= [(16 x 171)/(9 x 171)] - [(18 x 171)/(19 x 171)]

step 5 Simplify the expression to have common denominator:
= 304/171 - 162/171

step 6 Take the common values out and rewrite the above expression like the below:
= 1/171 x (304/1 - 162/1)
= 1/171 x (304 - 162)

step 7Simplify the above expression further:
= 1/171 x 142
= 142/171
16/9 - 18/19 = 142/171

Hence,
16/9 minus 18/19 as a fraction is 142/171.

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16/9 - 18/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/9
Fraction B: 18/19

What to be found?
(16/9)-(18/19) = ?
Find what's the difference between 16/9 and 18/19.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (16 x 19), find the product of numerator of Fraction B and denominator of Fraction A (18 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 19) and rewrite the equation as like the below:
= (16 x 19) - (18 x 9)/(9 x 19)

step 3 Simplify and rewrite the fraction:
= (304 - 162)/171
16/9 - 18/19 = 142/171

Hence,
16/9 minus 18/19 in fraction is 142/171