1/6 - 4/7 as a fraction

Learn how to find what is 1/6 minus 4/7 in fraction form just in a few minutes. We have covered the easiest method to write 1/6 - 4/7 as a fraction and decimal.

Summary: 1/6 minus 4/7 = -17/42
Since both fractions have unequal denominators, 1/6 minus 4/7 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/6 and fraction 4/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 7. 42 is the LCM of 6 and 7. Multiplying the LCM 42 with the numerators and denominators of both fractions (1/6 x 42/42) - (4/7 x 42/42), and simplify further in order to have the common denominator. So the equivalent fraction for 1/6 is 7/42 and for 4/7 is 24/42. By simplifying this fraction subtraction 7/42 - 24/42, it becomes -17/42.

CALCULATION: 1/6 - 4/7 as a fraction
1/6 - 4/7 = (?)
1/6 - 4/7 = [(1 x 7) - (4 x 6)]/(6 x 7)
= (7 - 24)/42
= -17/42
1/6 - 4/7 = -17/42
1/6 minus 4/7 as a fraction is -17/42.

where
1/6 is a proper fraction as a minuend,
4/7 is a proper fraction as a subtrahend,
-17/42 is the difference between 1/6 and 4/7.

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1/6 minus 4/7 as a decimal
1/6 - 4/7 = -17/42
-17/42 = -0.4048
(1/6) - (4/7) as a decimal is -0.4048

where
-0.4048 is the difference between 1/6 and 4/7.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 4/7 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 4/7.
1. LCM method
2. Cross multiplication method.

(1/6) - (4/7) using LCM Method:
What is 1/6 minus 4/7 as a fraction?

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

What to be found?
(1/6) - (4/7) = ?
Find what's the difference between 1/6 and 4/7.

step 2 Compare the denominators of fractions 1/6 and 4/7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/6 and 4/7 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 4/7:
The LCM of 6 and 7 is 42.

step 4 Write the fractions 1/6 and 4/7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/6 - 4/7
= [(1 x 42)/(6 x 42)] - [(4 x 42)/(7 x 42)]

step 5 Simplify the expression to have common denominator:
= 7/42 - 24/42

step 6 Take the common values out and rewrite the above expression like the below:
= 1/42 x (7/1 - 24/1)
= 1/42 x (7 - 24)

step 7Simplify the above expression further:
= 1/42 x -17
= -17/42
1/6 - 4/7 = -17/42

Hence,
1/6 minus 4/7 as a fraction is -17/42.

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

What to be found?
(1/6)-(4/7) = ?
Find what's the difference between 1/6 and 4/7.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 7), find the product of numerator of Fraction B and denominator of Fraction A (4 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 7) and rewrite the equation as like the below:
= (1 x 7) - (4 x 6)/(6 x 7)

step 3 Simplify and rewrite the fraction:
= (7 - 24)/42
1/6 - 4/7 = -17/42

Hence,
1/6 minus 4/7 in fraction is -17/42