What is 1/4 - 12 in fraction?
1/4 - 12 equals to -47/4 in fraction form.
Learn how to find what is 1/4 minus 12 in fraction form just in a few minutes. We have covered the easiest method to write 1/4 - 12 as a fraction and decimal.
Summary: 1/4 minus 12 = -47/4
Since both fractions have unequal denominators, 1/4 minus 12 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/4 and fraction 12 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 1. 4 is the LCM of 4 and 1. Multiplying the LCM 4 with the numerators and denominators of both fractions (1/4 x 4/4) - (12 x 4/4), and simplify further in order to have the common denominator. So the equivalent fraction for 1/4 is 1/4 and for 12 is 48/4. By simplifying this fraction subtraction 1/4 - 48/4, it becomes -47/4.
The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 12 from 1/4. use any one of the following methods to find the equivalent fraction for 1/4 minus 12.
1. LCM method
2. Cross multiplication method.
(1/4) - (12) using LCM Method:
What is 1/4 minus 12 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 12/1
What to be found?
(1/4) - (12) = ?
Find what's the difference between 1/4 and 12.
step 2 Compare the denominators of fractions 1/4 and 12 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/4 and 12 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 12:
The LCM of 4 and 1 is 4.
step 4 Write the fractions 1/4 and 12 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/4 - 12
= [(1 x 4)/(4 x 4)] - [(12 x 4)/(1 x 4)]
step 5 Simplify the expression to have common denominator:
= 1/4 - 48/4
step 6 Take the common values out and rewrite the above expression like the below:
= 1/4 x (1/1 - 48/1)
= 1/4 x (1 - 48)
step 7Simplify the above expression further:
= 1/4 x -47
= -47/4
1/4 - 12 = -47/4
Hence,
1/4 minus 12 as a fraction is -47/4.
1/4 - 12 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 12/1
What to be found?
(1/4)-(12) = ?
Find what's the difference between 1/4 and 12.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 1), find the product of numerator of Fraction B and denominator of Fraction A (12 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 1) and rewrite the equation as like the below:
= (1 x 1) - (12 x 4)/(4 x 1)
step 3 Simplify and rewrite the fraction:
= (1 - 48)/4
1/4 - 12 = -47/4
Hence,
1/4 minus 12 in fraction is -47/4