1/6 - 13/4 as a fraction

Learn how to find what is 1/6 minus 13/4 in fraction form just in a few minutes. We have covered the easiest method to write 1/6 - 13/4 as a fraction and decimal.

Summary: 1/6 minus 13/4 = -37/12
Since both fractions have unequal denominators, 1/6 minus 13/4 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/6 and fraction 13/4 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 4. 12 is the LCM of 6 and 4. Multiplying the LCM 12 with the numerators and denominators of both fractions (1/6 x 12/12) - (13/4 x 12/12), and simplify further in order to have the common denominator. So the equivalent fraction for 1/6 is 2/12 and for 13/4 is 39/12. By simplifying this fraction subtraction 2/12 - 39/12, it becomes -37/12.

CALCULATION: 1/6 - 13/4 as a fraction
1/6 - 13/4 = (?)
1/6 - 13/4 = [(1 x 4) - (13 x 6)]/(6 x 4)
= (4 - 78)/24
= -74/24
= (2 x -37)/(2 x 12)
= -37/12
1/6 - 13/4 = -37/12
1/6 minus 13/4 as a fraction is -37/12.

where
1/6 is a proper fraction as a minuend,
13/4 is a improper fraction as a subtrahend,
-37/12 is the difference between 1/6 and 13/4.

---

1/6 minus 13/4 as a decimal
1/6 - 13/4 = -37/12
-37/12 = -3.0833
(1/6) - (13/4) as a decimal is -3.0833

where
-3.0833 is the difference between 1/6 and 13/4.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 13/4 from 1/6. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/6 minus 13/4.
1. LCM method
2. Cross multiplication method.

(1/6) - (13/4) using LCM Method:
What is 1/6 minus 13/4 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 13/4

What to be found?
(1/6) - (13/4) = ?
Find what's the difference between 1/6 and 13/4.

step 2 Compare the denominators of fractions 1/6 and 13/4 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/6 and 13/4 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 1/6 and 13/4:
The LCM of 6 and 4 is 12.

step 4 Write the fractions 1/6 and 13/4 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/6 - 13/4
= [(1 x 12)/(6 x 12)] - [(13 x 12)/(4 x 12)]

step 5 Simplify the expression to have common denominator:
= 2/12 - 39/12

step 6 Take the common values out and rewrite the above expression like the below:
= 1/12 x (2/1 - 39/1)
= 1/12 x (2 - 39)

step 7Simplify the above expression further:
= 1/12 x -37
= -37/12
1/6 - 13/4 = -37/12

Hence,
1/6 minus 13/4 as a fraction is -37/12.

---

1/6 - 13/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 13/4

What to be found?
(1/6)-(13/4) = ?
Find what's the difference between 1/6 and 13/4.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 4), find the product of numerator of Fraction B and denominator of Fraction A (13 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 4) and rewrite the equation as like the below:
= (1 x 4) - (13 x 6)/(6 x 4)

step 3 Simplify and rewrite the fraction:
= (4 - 78)/24
= -74/24
= -37/12
1/6 - 13/4 = -37/12

Hence,
1/6 minus 13/4 in fraction is -37/12