1/5 - 2/38 as a fraction

Learn how to find what is 1/5 minus 2/38 in fraction form just in a few minutes. We have covered the easiest method to write 1/5 - 2/38 as a fraction and decimal.

Summary: 1/5 minus 2/38 = 14/95
Since both fractions have unequal denominators, 1/5 minus 2/38 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/5 and fraction 2/38 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 38. 190 is the LCM of 5 and 38. Multiplying the LCM 190 with the numerators and denominators of both fractions (1/5 x 190/190) - (2/38 x 190/190), and simplify further in order to have the common denominator. So the equivalent fraction for 1/5 is 38/190 and for 2/38 is 10/190. By simplifying this fraction subtraction 38/190 - 10/190, it becomes 28/190.

Pie Chart Representation: 1/5 - 2/38 = 14/95

CALCULATION: 1/5 - 2/38 as a fraction
1/5 - 2/38 = (?)
1/5 - 2/38 = [(1 x 38) - (2 x 5)]/(5 x 38)
= (38 - 10)/190
= 28/190
= (2 x 14)/(2 x 95)
= 14/95
1/5 - 2/38 = 14/95
1/5 minus 2/38 as a fraction is 14/95.

where
1/5 is a proper fraction as a minuend,
2/38 is a proper fraction as a subtrahend,
14/95 is the difference between 1/5 and 2/38.

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1/5 minus 2/38 as a decimal
1/5 - 2/38 = 14/95
14/95 = 0.1474
(1/5) - (2/38) as a decimal is 0.1474

where
0.1474 is the difference between 1/5 and 2/38.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/38 from 1/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/5 minus 2/38.
1. LCM method
2. Cross multiplication method.

(1/5) - (2/38) using LCM Method:
What is 1/5 minus 2/38 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 2/38

What to be found?
(1/5) - (2/38) = ?
Find what's the difference between 1/5 and 2/38.

step 2 Compare the denominators of fractions 1/5 and 2/38 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/5 and 2/38 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 1/5 and 2/38:
The LCM of 5 and 38 is 190.

step 4 Write the fractions 1/5 and 2/38 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/5 - 2/38
= [(1 x 190)/(5 x 190)] - [(2 x 190)/(38 x 190)]

step 5 Simplify the expression to have common denominator:
= 38/190 - 10/190

step 6 Take the common values out and rewrite the above expression like the below:
= 1/190 x (38/1 - 10/1)
= 1/190 x (38 - 10)

step 7Simplify the above expression further:
= 1/190 x 28
= 28/190
= 14/95
1/5 - 2/38 = 14/95

Hence,
1/5 minus 2/38 as a fraction is 14/95.

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1/5 - 2/38 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 2/38

What to be found?
(1/5)-(2/38) = ?
Find what's the difference between 1/5 and 2/38.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 38), find the product of numerator of Fraction B and denominator of Fraction A (2 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 38) and rewrite the equation as like the below:
= (1 x 38) - (2 x 5)/(5 x 38)

step 3 Simplify and rewrite the fraction:
= (38 - 10)/190
= 28/190
= 14/95
1/5 - 2/38 = 14/95

Hence,
1/5 minus 2/38 in fraction is 14/95