What is 1/6 - 2/47 in fraction?
1/6 - 2/47 equals to 35/282 in fraction form.
Learn how to find what is 1/6 minus 2/47 in fraction form just in a few minutes. We have covered the easiest method to write 1/6 - 2/47 as a fraction and decimal.
Summary: 1/6 minus 2/47 = 35/282
Since both fractions have unequal denominators, 1/6 minus 2/47 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/6 and fraction 2/47 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 47. 282 is the LCM of 6 and 47. Multiplying the LCM 282 with the numerators and denominators of both fractions (1/6 x 282/282) - (2/47 x 282/282), and simplify further in order to have the common denominator. So the equivalent fraction for 1/6 is 47/282 and for 2/47 is 12/282. By simplifying this fraction subtraction 47/282 - 12/282, it becomes 35/282.
Pie Chart Representation: 1/6 - 2/47 = 35/282
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 1/6. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/6 minus 2/47.
1. LCM method
2. Cross multiplication method.
(1/6) - (2/47) using LCM Method:
What is 1/6 minus 2/47 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/47
What to be found?
(1/6) - (2/47) = ?
Find what's the difference between 1/6 and 2/47.
step 2 Compare the denominators of fractions 1/6 and 2/47 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/6 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 1/6 and 2/47:
The LCM of 6 and 47 is 282.
step 4 Write the fractions 1/6 and 2/47 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/6 - 2/47
= [(1 x 282)/(6 x 282)] - [(2 x 282)/(47 x 282)]
step 5 Simplify the expression to have common denominator:
= 47/282 - 12/282
step 6 Take the common values out and rewrite the above expression like the below:
= 1/282 x (47/1 - 12/1)
= 1/282 x (47 - 12)
step 7Simplify the above expression further:
= 1/282 x 35
= 35/282
1/6 - 2/47 = 35/282
Hence,
1/6 minus 2/47 as a fraction is 35/282.
1/6 - 2/47 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/47
What to be found?
(1/6)-(2/47) = ?
Find what's the difference between 1/6 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 6), and find the product of both denominators of Fraction A and Fraction B (6 x 47) and rewrite the equation as like the below:
= (1 x 47) - (2 x 6)/(6 x 47)
step 3 Simplify and rewrite the fraction:
= (47 - 12)/282
1/6 - 2/47 = 35/282
Hence,
1/6 minus 2/47 in fraction is 35/282