6/1 - 2/7 as a fraction

Learn how to find what is 6/1 minus 2/7 in fraction form just in a few minutes. We have covered the easiest method to write 6/1 - 2/7 as a fraction and decimal.

Summary: 6/1 minus 2/7 = 40/7
Since both fractions have unequal denominators, 6/1 minus 2/7 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 6/1 and fraction 2/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 7. 7 is the LCM of 1 and 7. Multiplying the LCM 7 with the numerators and denominators of both fractions (6/1 x 7/7) - (2/7 x 7/7), and simplify further in order to have the common denominator. So the equivalent fraction for 6/1 is 42/7 and for 2/7 is 2/7. By simplifying this fraction subtraction 42/7 - 2/7, it becomes 40/7.

CALCULATION: 6/1 - 2/7 as a fraction
6/1 - 2/7 = (?)
6/1 - 2/7 = [(6 x 7) - (2 x 1)]/(1 x 7)
= (42 - 2)/7
= 40/7
6/1 - 2/7 = 40/7
6/1 minus 2/7 as a fraction is 40/7.

where
6/1 is a improper fraction as a minuend,
2/7 is a proper fraction as a subtrahend,
40/7 is the difference between 6/1 and 2/7.

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6/1 minus 2/7 as a decimal
6/1 - 2/7 = 40/7
40/7 = 5.7143
(6/1) - (2/7) as a decimal is 5.7143

where
5.7143 is the difference between 6/1 and 2/7.

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

(6/1) - (2/7) using LCM Method:
What is 6/1 minus 2/7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/1
Fraction B: 2/7

What to be found?
(6/1) - (2/7) = ?
Find what's the difference between 6/1 and 2/7.

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

step 4 Write the fractions 6/1 and 2/7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 6/1 - 2/7
= [(6 x 7)/(1 x 7)] - [(2 x 7)/(7 x 7)]

step 5 Simplify the expression to have common denominator:
= 42/7 - 2/7

step 6 Take the common values out and rewrite the above expression like the below:
= 1/7 x (42/1 - 2/1)
= 1/7 x (42 - 2)

step 7Simplify the above expression further:
= 1/7 x 40
= 40/7
6/1 - 2/7 = 40/7

Hence,
6/1 minus 2/7 as a fraction is 40/7.

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6/1 - 2/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/1
Fraction B: 2/7

What to be found?
(6/1)-(2/7) = ?
Find what's the difference between 6/1 and 2/7.

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

step 3 Simplify and rewrite the fraction:
= (42 - 2)/7
6/1 - 2/7 = 40/7

Hence,
6/1 minus 2/7 in fraction is 40/7