4/7 - 5/6 as a fraction

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

Summary: 4/7 minus 5/6 = -11/42
Since both fractions have unequal denominators, 4/7 minus 5/6 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 4/7 and fraction 5/6 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 6. 42 is the LCM of 7 and 6. Multiplying the LCM 42 with the numerators and denominators of both fractions (4/7 x 42/42) - (5/6 x 42/42), and simplify further in order to have the common denominator. So the equivalent fraction for 4/7 is 24/42 and for 5/6 is 35/42. By simplifying this fraction subtraction 24/42 - 35/42, it becomes -11/42.

CALCULATION: 4/7 - 5/6 as a fraction
4/7 - 5/6 = (?)
4/7 - 5/6 = [(4 x 6) - (5 x 7)]/(7 x 6)
= (24 - 35)/42
= -11/42
4/7 - 5/6 = -11/42
4/7 minus 5/6 as a fraction is -11/42.

where
4/7 is a proper fraction as a minuend,
5/6 is a proper fraction as a subtrahend,
-11/42 is the difference between 4/7 and 5/6.

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4/7 minus 5/6 as a decimal
4/7 - 5/6 = -11/42
-11/42 = -0.2619
(4/7) - (5/6) as a decimal is -0.2619

where
-0.2619 is the difference between 4/7 and 5/6.

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

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

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

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

step 2 Compare the denominators of fractions 4/7 and 5/6 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 4/7 and 5/6 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 4/7 and 5/6:
The LCM of 7 and 6 is 42.

step 4 Write the fractions 4/7 and 5/6 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 4/7 - 5/6
= [(4 x 42)/(7 x 42)] - [(5 x 42)/(6 x 42)]

step 5 Simplify the expression to have common denominator:
= 24/42 - 35/42

step 6 Take the common values out and rewrite the above expression like the below:
= 1/42 x (24/1 - 35/1)
= 1/42 x (24 - 35)

step 7Simplify the above expression further:
= 1/42 x -11
= -11/42
4/7 - 5/6 = -11/42

Hence,
4/7 minus 5/6 as a fraction is -11/42.

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

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

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (4 x 6), find the product of numerator of Fraction B and denominator of Fraction A (5 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 6) and rewrite the equation as like the below:
= (4 x 6) - (5 x 7)/(7 x 6)

step 3 Simplify and rewrite the fraction:
= (24 - 35)/42
4/7 - 5/6 = -11/42

Hence,
4/7 minus 5/6 in fraction is -11/42