5/6 - 7/4 as a fraction

Learn how to find what is 5/6 minus 7/4 in fraction form just in a few minutes. We have covered the easiest method to write 5/6 - 7/4 as a fraction and decimal.

Summary: 5/6 minus 7/4 = -11/12
Since both fractions have unequal denominators, 5/6 minus 7/4 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/6 and fraction 7/4 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 (5/6 x 12/12) - (7/4 x 12/12), and simplify further in order to have the common denominator. So the equivalent fraction for 5/6 is 10/12 and for 7/4 is 21/12. By simplifying this fraction subtraction 10/12 - 21/12, it becomes -11/12.

CALCULATION: 5/6 - 7/4 as a fraction
5/6 - 7/4 = (?)
5/6 - 7/4 = [(5 x 4) - (7 x 6)]/(6 x 4)
= (20 - 42)/24
= -22/24
= (2 x -11)/(2 x 12)
= -11/12
5/6 - 7/4 = -11/12
5/6 minus 7/4 as a fraction is -11/12.

where
5/6 is a proper fraction as a minuend,
7/4 is a improper fraction as a subtrahend,
-11/12 is the difference between 5/6 and 7/4.

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5/6 minus 7/4 as a decimal
5/6 - 7/4 = -11/12
-11/12 = -0.9167
(5/6) - (7/4) as a decimal is -0.9167

where
-0.9167 is the difference between 5/6 and 7/4.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 7/4 from 5/6. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5/6 minus 7/4.
1. LCM method
2. Cross multiplication method.

(5/6) - (7/4) using LCM Method:
What is 5/6 minus 7/4 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/6
Fraction B: 7/4

What to be found?
(5/6) - (7/4) = ?
Find what's the difference between 5/6 and 7/4.

step 2 Compare the denominators of fractions 5/6 and 7/4 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/6 and 7/4 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 5/6 and 7/4:
The LCM of 6 and 4 is 12.

step 4 Write the fractions 5/6 and 7/4 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/6 - 7/4
= [(5 x 12)/(6 x 12)] - [(7 x 12)/(4 x 12)]

step 5 Simplify the expression to have common denominator:
= 10/12 - 21/12

step 6 Take the common values out and rewrite the above expression like the below:
= 1/12 x (10/1 - 21/1)
= 1/12 x (10 - 21)

step 7Simplify the above expression further:
= 1/12 x -11
= -11/12
5/6 - 7/4 = -11/12

Hence,
5/6 minus 7/4 as a fraction is -11/12.

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5/6 - 7/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/6
Fraction B: 7/4

What to be found?
(5/6)-(7/4) = ?
Find what's the difference between 5/6 and 7/4.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 4), find the product of numerator of Fraction B and denominator of Fraction A (7 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:
= (5 x 4) - (7 x 6)/(6 x 4)

step 3 Simplify and rewrite the fraction:
= (20 - 42)/24
= -22/24
= -11/12
5/6 - 7/4 = -11/12

Hence,
5/6 minus 7/4 in fraction is -11/12