1/7 - 2/75 as a fraction

Learn how to find what is 1/7 minus 2/75 in fraction form just in a few minutes. We have covered the easiest method to write 1/7 - 2/75 as a fraction and decimal.

Summary: 1/7 minus 2/75 = 61/525
Since both fractions have unequal denominators, 1/7 minus 2/75 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/7 and fraction 2/75 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 75. 525 is the LCM of 7 and 75. Multiplying the LCM 525 with the numerators and denominators of both fractions (1/7 x 525/525) - (2/75 x 525/525), and simplify further in order to have the common denominator. So the equivalent fraction for 1/7 is 75/525 and for 2/75 is 14/525. By simplifying this fraction subtraction 75/525 - 14/525, it becomes 61/525.

Pie Chart Representation: 1/7 - 2/75 = 61/525

CALCULATION: 1/7 - 2/75 as a fraction
1/7 - 2/75 = (?)
1/7 - 2/75 = [(1 x 75) - (2 x 7)]/(7 x 75)
= (75 - 14)/525
= 61/525
1/7 - 2/75 = 61/525
1/7 minus 2/75 as a fraction is 61/525.

where
1/7 is a proper fraction as a minuend,
2/75 is a proper fraction as a subtrahend,
61/525 is the difference between 1/7 and 2/75.

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1/7 minus 2/75 as a decimal
1/7 - 2/75 = 61/525
61/525 = 0.1162
(1/7) - (2/75) as a decimal is 0.1162

where
0.1162 is the difference between 1/7 and 2/75.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/75 from 1/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/7 minus 2/75.
1. LCM method
2. Cross multiplication method.

(1/7) - (2/75) using LCM Method:
What is 1/7 minus 2/75 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 2/75

What to be found?
(1/7) - (2/75) = ?
Find what's the difference between 1/7 and 2/75.

step 2 Compare the denominators of fractions 1/7 and 2/75 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/7 and 2/75 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 1/7 and 2/75:
The LCM of 7 and 75 is 525.

step 4 Write the fractions 1/7 and 2/75 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/7 - 2/75
= [(1 x 525)/(7 x 525)] - [(2 x 525)/(75 x 525)]

step 5 Simplify the expression to have common denominator:
= 75/525 - 14/525

step 6 Take the common values out and rewrite the above expression like the below:
= 1/525 x (75/1 - 14/1)
= 1/525 x (75 - 14)

step 7Simplify the above expression further:
= 1/525 x 61
= 61/525
1/7 - 2/75 = 61/525

Hence,
1/7 minus 2/75 as a fraction is 61/525.

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1/7 - 2/75 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 2/75

What to be found?
(1/7)-(2/75) = ?
Find what's the difference between 1/7 and 2/75.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 75), find the product of numerator of Fraction B and denominator of Fraction A (2 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 75) and rewrite the equation as like the below:
= (1 x 75) - (2 x 7)/(7 x 75)

step 3 Simplify and rewrite the fraction:
= (75 - 14)/525
1/7 - 2/75 = 61/525

Hence,
1/7 minus 2/75 in fraction is 61/525