18/19 - 7/2 as a fraction

Learn how to find what is 18/19 minus 7/2 in fraction form just in a few minutes. We have covered the easiest method to write 18/19 - 7/2 as a fraction and decimal.

Summary: 18/19 minus 7/2 = -97/38
Since both fractions have unequal denominators, 18/19 minus 7/2 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 18/19 and fraction 7/2 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 19 and 2. 38 is the LCM of 19 and 2. Multiplying the LCM 38 with the numerators and denominators of both fractions (18/19 x 38/38) - (7/2 x 38/38), and simplify further in order to have the common denominator. So the equivalent fraction for 18/19 is 36/38 and for 7/2 is 133/38. By simplifying this fraction subtraction 36/38 - 133/38, it becomes -97/38.

CALCULATION: 18/19 - 7/2 as a fraction
18/19 - 7/2 = (?)
18/19 - 7/2 = [(18 x 2) - (7 x 19)]/(19 x 2)
= (36 - 133)/38
= -97/38
18/19 - 7/2 = -97/38
18/19 minus 7/2 as a fraction is -97/38.

where
18/19 is a proper fraction as a minuend,
7/2 is a improper fraction as a subtrahend,
-97/38 is the difference between 18/19 and 7/2.

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18/19 minus 7/2 as a decimal
18/19 - 7/2 = -97/38
-97/38 = -2.5526
(18/19) - (7/2) as a decimal is -2.5526

where
-2.5526 is the difference between 18/19 and 7/2.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 7/2 from 18/19. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 18/19 minus 7/2.
1. LCM method
2. Cross multiplication method.

(18/19) - (7/2) using LCM Method:
What is 18/19 minus 7/2 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/19
Fraction B: 7/2

What to be found?
(18/19) - (7/2) = ?
Find what's the difference between 18/19 and 7/2.

step 2 Compare the denominators of fractions 18/19 and 7/2 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 18/19 and 7/2 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 18/19 and 7/2:
The LCM of 19 and 2 is 38.

step 4 Write the fractions 18/19 and 7/2 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 18/19 - 7/2
= [(18 x 38)/(19 x 38)] - [(7 x 38)/(2 x 38)]

step 5 Simplify the expression to have common denominator:
= 36/38 - 133/38

step 6 Take the common values out and rewrite the above expression like the below:
= 1/38 x (36/1 - 133/1)
= 1/38 x (36 - 133)

step 7Simplify the above expression further:
= 1/38 x -97
= -97/38
18/19 - 7/2 = -97/38

Hence,
18/19 minus 7/2 as a fraction is -97/38.

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18/19 - 7/2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/19
Fraction B: 7/2

What to be found?
(18/19)-(7/2) = ?
Find what's the difference between 18/19 and 7/2.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (18 x 2), find the product of numerator of Fraction B and denominator of Fraction A (7 x 19), and find the product of both denominators of Fraction A and Fraction B (19 x 2) and rewrite the equation as like the below:
= (18 x 2) - (7 x 19)/(19 x 2)

step 3 Simplify and rewrite the fraction:
= (36 - 133)/38
18/19 - 7/2 = -97/38

Hence,
18/19 minus 7/2 in fraction is -97/38