3/4 - 13/6 as a fraction

Learn how to find what is 3/4 minus 13/6 in fraction form just in a few minutes. We have covered the easiest method to write 3/4 - 13/6 as a fraction and decimal.

Summary: 3/4 minus 13/6 = -17/12
Since both fractions have unequal denominators, 3/4 minus 13/6 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 3/4 and fraction 13/6 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 6. 12 is the LCM of 4 and 6. Multiplying the LCM 12 with the numerators and denominators of both fractions (3/4 x 12/12) - (13/6 x 12/12), and simplify further in order to have the common denominator. So the equivalent fraction for 3/4 is 9/12 and for 13/6 is 26/12. By simplifying this fraction subtraction 9/12 - 26/12, it becomes -17/12.

CALCULATION: 3/4 - 13/6 as a fraction
3/4 - 13/6 = (?)
3/4 - 13/6 = [(3 x 6) - (13 x 4)]/(4 x 6)
= (18 - 52)/24
= -34/24
= (2 x -17)/(2 x 12)
= -17/12
3/4 - 13/6 = -17/12
3/4 minus 13/6 as a fraction is -17/12.

where
3/4 is a proper fraction as a minuend,
13/6 is a improper fraction as a subtrahend,
-17/12 is the difference between 3/4 and 13/6.

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3/4 minus 13/6 as a decimal
3/4 - 13/6 = -17/12
-17/12 = -1.4167
(3/4) - (13/6) as a decimal is -1.4167

where
-1.4167 is the difference between 3/4 and 13/6.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 13/6 from 3/4. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 3/4 minus 13/6.
1. LCM method
2. Cross multiplication method.

(3/4) - (13/6) using LCM Method:
What is 3/4 minus 13/6 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/4
Fraction B: 13/6

What to be found?
(3/4) - (13/6) = ?
Find what's the difference between 3/4 and 13/6.

step 2 Compare the denominators of fractions 3/4 and 13/6 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/4 and 13/6 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 3/4 and 13/6:
The LCM of 4 and 6 is 12.

step 4 Write the fractions 3/4 and 13/6 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/4 - 13/6
= [(3 x 12)/(4 x 12)] - [(13 x 12)/(6 x 12)]

step 5 Simplify the expression to have common denominator:
= 9/12 - 26/12

step 6 Take the common values out and rewrite the above expression like the below:
= 1/12 x (9/1 - 26/1)
= 1/12 x (9 - 26)

step 7Simplify the above expression further:
= 1/12 x -17
= -17/12
3/4 - 13/6 = -17/12

Hence,
3/4 minus 13/6 as a fraction is -17/12.

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3/4 - 13/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/4
Fraction B: 13/6

What to be found?
(3/4)-(13/6) = ?
Find what's the difference between 3/4 and 13/6.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 6), find the product of numerator of Fraction B and denominator of Fraction A (13 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 6) and rewrite the equation as like the below:
= (3 x 6) - (13 x 4)/(4 x 6)

step 3 Simplify and rewrite the fraction:
= (18 - 52)/24
= -34/24
= -17/12
3/4 - 13/6 = -17/12

Hence,
3/4 minus 13/6 in fraction is -17/12