1/4 - 2/37 as a fraction

Learn how to find what is 1/4 minus 2/37 in fraction form just in a few minutes. We have covered the easiest method to write 1/4 - 2/37 as a fraction and decimal.

Summary: 1/4 minus 2/37 = 29/148
Since both fractions have unequal denominators, 1/4 minus 2/37 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/4 and fraction 2/37 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 37. 148 is the LCM of 4 and 37. Multiplying the LCM 148 with the numerators and denominators of both fractions (1/4 x 148/148) - (2/37 x 148/148), and simplify further in order to have the common denominator. So the equivalent fraction for 1/4 is 37/148 and for 2/37 is 8/148. By simplifying this fraction subtraction 37/148 - 8/148, it becomes 29/148.

Pie Chart Representation: 1/4 - 2/37 = 29/148

CALCULATION: 1/4 - 2/37 as a fraction
1/4 - 2/37 = (?)
1/4 - 2/37 = [(1 x 37) - (2 x 4)]/(4 x 37)
= (37 - 8)/148
= 29/148
1/4 - 2/37 = 29/148
1/4 minus 2/37 as a fraction is 29/148.

where
1/4 is a proper fraction as a minuend,
2/37 is a proper fraction as a subtrahend,
29/148 is the difference between 1/4 and 2/37.

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1/4 minus 2/37 as a decimal
1/4 - 2/37 = 29/148
29/148 = 0.1959
(1/4) - (2/37) as a decimal is 0.1959

where
0.1959 is the difference between 1/4 and 2/37.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/37 from 1/4. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/4 minus 2/37.
1. LCM method
2. Cross multiplication method.

(1/4) - (2/37) using LCM Method:
What is 1/4 minus 2/37 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/37

What to be found?
(1/4) - (2/37) = ?
Find what's the difference between 1/4 and 2/37.

step 2 Compare the denominators of fractions 1/4 and 2/37 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/4 and 2/37 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 1/4 and 2/37:
The LCM of 4 and 37 is 148.

step 4 Write the fractions 1/4 and 2/37 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/4 - 2/37
= [(1 x 148)/(4 x 148)] - [(2 x 148)/(37 x 148)]

step 5 Simplify the expression to have common denominator:
= 37/148 - 8/148

step 6 Take the common values out and rewrite the above expression like the below:
= 1/148 x (37/1 - 8/1)
= 1/148 x (37 - 8)

step 7Simplify the above expression further:
= 1/148 x 29
= 29/148
1/4 - 2/37 = 29/148

Hence,
1/4 minus 2/37 as a fraction is 29/148.

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1/4 - 2/37 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/37

What to be found?
(1/4)-(2/37) = ?
Find what's the difference between 1/4 and 2/37.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 37), find the product of numerator of Fraction B and denominator of Fraction A (2 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 37) and rewrite the equation as like the below:
= (1 x 37) - (2 x 4)/(4 x 37)

step 3 Simplify and rewrite the fraction:
= (37 - 8)/148
1/4 - 2/37 = 29/148

Hence,
1/4 minus 2/37 in fraction is 29/148