What is 1/6 - 2/34 in fraction?
1/6 - 2/34 equals to 11/102 in fraction form.
Learn how to find what is 1/6 minus 2/34 in fraction form just in a few minutes. We have covered the easiest method to write 1/6 - 2/34 as a fraction and decimal.
Summary: 1/6 minus 2/34 = 11/102
Since both fractions have unequal denominators, 1/6 minus 2/34 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/6 and fraction 2/34 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 34. 102 is the LCM of 6 and 34. Multiplying the LCM 102 with the numerators and denominators of both fractions (1/6 x 102/102) - (2/34 x 102/102), and simplify further in order to have the common denominator. So the equivalent fraction for 1/6 is 17/102 and for 2/34 is 6/102. By simplifying this fraction subtraction 17/102 - 6/102, it becomes 11/102.
Pie Chart Representation: 1/6 - 2/34 = 11/102
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/34 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 2/34.
1. LCM method
2. Cross multiplication method.
(1/6) - (2/34) using LCM Method:
What is 1/6 minus 2/34 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/34
What to be found?
(1/6) - (2/34) = ?
Find what's the difference between 1/6 and 2/34.
step 2 Compare the denominators of fractions 1/6 and 2/34 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/6 and 2/34 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 2/34:
The LCM of 6 and 34 is 102.
step 4 Write the fractions 1/6 and 2/34 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/6 - 2/34
= [(1 x 102)/(6 x 102)] - [(2 x 102)/(34 x 102)]
step 5 Simplify the expression to have common denominator:
= 17/102 - 6/102
step 6 Take the common values out and rewrite the above expression like the below:
= 1/102 x (17/1 - 6/1)
= 1/102 x (17 - 6)
step 7Simplify the above expression further:
= 1/102 x 11
= 11/102
1/6 - 2/34 = 11/102
Hence,
1/6 minus 2/34 as a fraction is 11/102.
1/6 - 2/34 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/34
What to be found?
(1/6)-(2/34) = ?
Find what's the difference between 1/6 and 2/34.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 34), 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 34) and rewrite the equation as like the below:
= (1 x 34) - (2 x 6)/(6 x 34)
step 3 Simplify and rewrite the fraction:
= (34 - 12)/204
= 22/204
= 11/102
1/6 - 2/34 = 11/102
Hence,
1/6 minus 2/34 in fraction is 11/102