6/5 - 1/7 as a fraction

Learn how to find what is 6/5 minus 1/7 in fraction form just in a few minutes. We have covered the easiest method to write 6/5 - 1/7 as a fraction and decimal.

Summary: 6/5 minus 1/7 = 37/35
Since both fractions have unequal denominators, 6/5 minus 1/7 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 6/5 and fraction 1/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 7. 35 is the LCM of 5 and 7. Multiplying the LCM 35 with the numerators and denominators of both fractions (6/5 x 35/35) - (1/7 x 35/35), and simplify further in order to have the common denominator. So the equivalent fraction for 6/5 is 42/35 and for 1/7 is 5/35. By simplifying this fraction subtraction 42/35 - 5/35, it becomes 37/35.

CALCULATION: 6/5 - 1/7 as a fraction
6/5 - 1/7 = (?)
6/5 - 1/7 = [(6 x 7) - (1 x 5)]/(5 x 7)
= (42 - 5)/35
= 37/35
6/5 - 1/7 = 37/35
6/5 minus 1/7 as a fraction is 37/35.

where
6/5 is a improper fraction as a minuend,
1/7 is a proper fraction as a subtrahend,
37/35 is the difference between 6/5 and 1/7.

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6/5 minus 1/7 as a decimal
6/5 - 1/7 = 37/35
37/35 = 1.0571
(6/5) - (1/7) as a decimal is 1.0571

where
1.0571 is the difference between 6/5 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 6/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 6/5 minus 1/7.
1. LCM method
2. Cross multiplication method.

(6/5) - (1/7) using LCM Method:
What is 6/5 minus 1/7 as a fraction?

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

What to be found?
(6/5) - (1/7) = ?
Find what's the difference between 6/5 and 1/7.

step 2 Compare the denominators of fractions 6/5 and 1/7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 6/5 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 6/5 and 1/7:
The LCM of 5 and 7 is 35.

step 4 Write the fractions 6/5 and 1/7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 6/5 - 1/7
= [(6 x 35)/(5 x 35)] - [(1 x 35)/(7 x 35)]

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

step 6 Take the common values out and rewrite the above expression like the below:
= 1/35 x (42/1 - 5/1)
= 1/35 x (42 - 5)

step 7Simplify the above expression further:
= 1/35 x 37
= 37/35
6/5 - 1/7 = 37/35

Hence,
6/5 minus 1/7 as a fraction is 37/35.

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

What to be found?
(6/5)-(1/7) = ?
Find what's the difference between 6/5 and 1/7.

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 (1 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 7) and rewrite the equation as like the below:
= (6 x 7) - (1 x 5)/(5 x 7)

step 3 Simplify and rewrite the fraction:
= (42 - 5)/35
6/5 - 1/7 = 37/35

Hence,
6/5 minus 1/7 in fraction is 37/35