6/7 - 5 as a fraction

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

Summary: 6/7 minus 5 = -29/7
Since both fractions have unequal denominators, 6/7 minus 5 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 6/7 and fraction 5 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 1. 7 is the LCM of 7 and 1. Multiplying the LCM 7 with the numerators and denominators of both fractions (6/7 x 7/7) - (5 x 7/7), and simplify further in order to have the common denominator. So the equivalent fraction for 6/7 is 6/7 and for 5 is 35/7. By simplifying this fraction subtraction 6/7 - 35/7, it becomes -29/7.

CALCULATION: 6/7 - 5 as a fraction
6/7 - 5 = (?)
6/7 - 5/1 = [(6 x 1) - (5 x 7)]/(7 x 1)
= (6 - 35)/7
= -29/7
6/7 - 5 = -29/7
6/7 minus 5 as a fraction is -29/7.

where
6/7 is a proper fraction as a minuend,
5 is a whole number as a subtrahend,
-29/7 is the difference between 6/7 and 5.

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6/7 minus 5 as a decimal
6/7 - 5 = -29/7
-29/7 = -4.1429
(6/7) - (5) as a decimal is -4.1429

where
-4.1429 is the difference between 6/7 and 5.

The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 5 from 6/7. use any one of the following methods to find the equivalent fraction for 6/7 minus 5.
1. LCM method
2. Cross multiplication method.

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

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

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

step 2 Compare the denominators of fractions 6/7 and 5 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 6/7 and 5 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 6/7 and 5:
The LCM of 7 and 1 is 7.

step 4 Write the fractions 6/7 and 5 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 6/7 - 5
= [(6 x 7)/(7 x 7)] - [(5 x 7)/(1 x 7)]

step 5 Simplify the expression to have common denominator:
= 6/7 - 35/7

step 6 Take the common values out and rewrite the above expression like the below:
= 1/7 x (6/1 - 35/1)
= 1/7 x (6 - 35)

step 7Simplify the above expression further:
= 1/7 x -29
= -29/7
6/7 - 5 = -29/7

Hence,
6/7 minus 5 as a fraction is -29/7.

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

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

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (6 x 1), 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 1) and rewrite the equation as like the below:
= (6 x 1) - (5 x 7)/(7 x 1)

step 3 Simplify and rewrite the fraction:
= (6 - 35)/7
6/7 - 5 = -29/7

Hence,
6/7 minus 5 in fraction is -29/7