1/4 - 11/15 as a fraction

Learn how to find what is 1/4 minus 11/15 in fraction form just in a few minutes. We have covered the easiest method to write 1/4 - 11/15 as a fraction and decimal.

Summary: 1/4 minus 11/15 = -29/60
Since both fractions have unequal denominators, 1/4 minus 11/15 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/4 and fraction 11/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 15. 60 is the LCM of 4 and 15. Multiplying the LCM 60 with the numerators and denominators of both fractions (1/4 x 60/60) - (11/15 x 60/60), and simplify further in order to have the common denominator. So the equivalent fraction for 1/4 is 15/60 and for 11/15 is 44/60. By simplifying this fraction subtraction 15/60 - 44/60, it becomes -29/60.

CALCULATION: 1/4 - 11/15 as a fraction
1/4 - 11/15 = (?)
1/4 - 11/15 = [(1 x 15) - (11 x 4)]/(4 x 15)
= (15 - 44)/60
= -29/60
1/4 - 11/15 = -29/60
1/4 minus 11/15 as a fraction is -29/60.

where
1/4 is a proper fraction as a minuend,
11/15 is a proper fraction as a subtrahend,
-29/60 is the difference between 1/4 and 11/15.

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1/4 minus 11/15 as a decimal
1/4 - 11/15 = -29/60
-29/60 = -0.4833
(1/4) - (11/15) as a decimal is -0.4833

where
-0.4833 is the difference between 1/4 and 11/15.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 11/15 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 11/15.
1. LCM method
2. Cross multiplication method.

(1/4) - (11/15) using LCM Method:
What is 1/4 minus 11/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 11/15

What to be found?
(1/4) - (11/15) = ?
Find what's the difference between 1/4 and 11/15.

step 2 Compare the denominators of fractions 1/4 and 11/15 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/4 and 11/15 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 11/15:
The LCM of 4 and 15 is 60.

step 4 Write the fractions 1/4 and 11/15 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/4 - 11/15
= [(1 x 60)/(4 x 60)] - [(11 x 60)/(15 x 60)]

step 5 Simplify the expression to have common denominator:
= 15/60 - 44/60

step 6 Take the common values out and rewrite the above expression like the below:
= 1/60 x (15/1 - 44/1)
= 1/60 x (15 - 44)

step 7Simplify the above expression further:
= 1/60 x -29
= -29/60
1/4 - 11/15 = -29/60

Hence,
1/4 minus 11/15 as a fraction is -29/60.

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1/4 - 11/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 11/15

What to be found?
(1/4)-(11/15) = ?
Find what's the difference between 1/4 and 11/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 15), find the product of numerator of Fraction B and denominator of Fraction A (11 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 15) and rewrite the equation as like the below:
= (1 x 15) - (11 x 4)/(4 x 15)

step 3 Simplify and rewrite the fraction:
= (15 - 44)/60
1/4 - 11/15 = -29/60

Hence,
1/4 minus 11/15 in fraction is -29/60