What is 14/5 - 1/12 in fraction?
14/5 - 1/12 equals to 163/60 in fraction form.
Learn how to find what is 14/5 minus 1/12 in fraction form just in a few minutes. We have covered the easiest method to write 14/5 - 1/12 as a fraction and decimal.
Summary: 14/5 minus 1/12 = 163/60
Since both fractions have unequal denominators, 14/5 minus 1/12 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 14/5 and fraction 1/12 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 12. 60 is the LCM of 5 and 12. Multiplying the LCM 60 with the numerators and denominators of both fractions (14/5 x 60/60) - (1/12 x 60/60), and simplify further in order to have the common denominator. So the equivalent fraction for 14/5 is 168/60 and for 1/12 is 5/60. By simplifying this fraction subtraction 168/60 - 5/60, it becomes 163/60.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 1/12 from 14/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 14/5 minus 1/12.
1. LCM method
2. Cross multiplication method.
(14/5) - (1/12) using LCM Method:
What is 14/5 minus 1/12 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/5
Fraction B: 1/12
What to be found?
(14/5) - (1/12) = ?
Find what's the difference between 14/5 and 1/12.
step 2 Compare the denominators of fractions 14/5 and 1/12 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 14/5 and 1/12 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 14/5 and 1/12:
The LCM of 5 and 12 is 60.
step 4 Write the fractions 14/5 and 1/12 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 14/5 - 1/12
= [(14 x 60)/(5 x 60)] - [(1 x 60)/(12 x 60)]
step 5 Simplify the expression to have common denominator:
= 168/60 - 5/60
step 6 Take the common values out and rewrite the above expression like the below:
= 1/60 x (168/1 - 5/1)
= 1/60 x (168 - 5)
step 7Simplify the above expression further:
= 1/60 x 163
= 163/60
14/5 - 1/12 = 163/60
Hence,
14/5 minus 1/12 as a fraction is 163/60.
14/5 - 1/12 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/5
Fraction B: 1/12
What to be found?
(14/5)-(1/12) = ?
Find what's the difference between 14/5 and 1/12.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (14 x 12), find the product of numerator of Fraction B and denominator of Fraction A (1 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 12) and rewrite the equation as like the below:
= (14 x 12) - (1 x 5)/(5 x 12)
step 3 Simplify and rewrite the fraction:
= (168 - 5)/60
14/5 - 1/12 = 163/60
Hence,
14/5 minus 1/12 in fraction is 163/60