1/7 - 2/47 as a fraction

Learn how to find what is 1/7 minus 2/47 in fraction form just in a few minutes. We have covered the easiest method to write 1/7 - 2/47 as a fraction and decimal.

Summary: 1/7 minus 2/47 = 33/329
Since both fractions have unequal denominators, 1/7 minus 2/47 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/7 and fraction 2/47 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 47. 329 is the LCM of 7 and 47. Multiplying the LCM 329 with the numerators and denominators of both fractions (1/7 x 329/329) - (2/47 x 329/329), and simplify further in order to have the common denominator. So the equivalent fraction for 1/7 is 47/329 and for 2/47 is 14/329. By simplifying this fraction subtraction 47/329 - 14/329, it becomes 33/329.

Pie Chart Representation: 1/7 - 2/47 = 33/329

CALCULATION: 1/7 - 2/47 as a fraction
1/7 - 2/47 = (?)
1/7 - 2/47 = [(1 x 47) - (2 x 7)]/(7 x 47)
= (47 - 14)/329
= 33/329
1/7 - 2/47 = 33/329
1/7 minus 2/47 as a fraction is 33/329.

where
1/7 is a proper fraction as a minuend,
2/47 is a proper fraction as a subtrahend,
33/329 is the difference between 1/7 and 2/47.

---

1/7 minus 2/47 as a decimal
1/7 - 2/47 = 33/329
33/329 = 0.1003
(1/7) - (2/47) as a decimal is 0.1003

where
0.1003 is the difference between 1/7 and 2/47.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/47 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 2/47.
1. LCM method
2. Cross multiplication method.

(1/7) - (2/47) using LCM Method:
What is 1/7 minus 2/47 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 2/47

What to be found?
(1/7) - (2/47) = ?
Find what's the difference between 1/7 and 2/47.

step 2 Compare the denominators of fractions 1/7 and 2/47 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/7 and 2/47 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 2/47:
The LCM of 7 and 47 is 329.

step 4 Write the fractions 1/7 and 2/47 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/7 - 2/47
= [(1 x 329)/(7 x 329)] - [(2 x 329)/(47 x 329)]

step 5 Simplify the expression to have common denominator:
= 47/329 - 14/329

step 6 Take the common values out and rewrite the above expression like the below:
= 1/329 x (47/1 - 14/1)
= 1/329 x (47 - 14)

step 7Simplify the above expression further:
= 1/329 x 33
= 33/329
1/7 - 2/47 = 33/329

Hence,
1/7 minus 2/47 as a fraction is 33/329.

---

1/7 - 2/47 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 2/47

What to be found?
(1/7)-(2/47) = ?
Find what's the difference between 1/7 and 2/47.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 47), 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 47) and rewrite the equation as like the below:
= (1 x 47) - (2 x 7)/(7 x 47)

step 3 Simplify and rewrite the fraction:
= (47 - 14)/329
1/7 - 2/47 = 33/329

Hence,
1/7 minus 2/47 in fraction is 33/329