1 - 1/7 as a fraction

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

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

Pie Chart Representation: 1 - 1/7 = 6/7

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

where
1 is a whole number as a minuend,
1/7 is a proper fraction as a subtrahend,
6/7 is the difference between 1 and 1/7.

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1 minus 1/7 as a decimal
1 - 1/7 = 6/7
6/7 = 0.8571
(1) - (1/7) as a decimal is 0.8571

where
0.8571 is the difference between 1 and 1/7.

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

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 7/7 - 1/7

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

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

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

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

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

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 (1 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:
= (1 x 7) - (1 x 1)/(1 x 7)

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

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