What is 1/2 - 2/51 in fraction?
1/2 - 2/51 equals to 47/102 in fraction form.
Learn how to find what is 1/2 minus 2/51 in fraction form just in a few minutes. We have covered the easiest method to write 1/2 - 2/51 as a fraction and decimal.
Summary: 1/2 minus 2/51 = 47/102
Since both fractions have unequal denominators, 1/2 minus 2/51 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/2 and fraction 2/51 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 51. 102 is the LCM of 2 and 51. Multiplying the LCM 102 with the numerators and denominators of both fractions (1/2 x 102/102) - (2/51 x 102/102), and simplify further in order to have the common denominator. So the equivalent fraction for 1/2 is 51/102 and for 2/51 is 4/102. By simplifying this fraction subtraction 51/102 - 4/102, it becomes 47/102.
Pie Chart Representation: 1/2 - 2/51 = 47/102
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/51 from 1/2. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/2 minus 2/51.
1. LCM method
2. Cross multiplication method.
(1/2) - (2/51) using LCM Method:
What is 1/2 minus 2/51 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 2/51
What to be found?
(1/2) - (2/51) = ?
Find what's the difference between 1/2 and 2/51.
step 2 Compare the denominators of fractions 1/2 and 2/51 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/2 and 2/51 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 1/2 and 2/51:
The LCM of 2 and 51 is 102.
step 4 Write the fractions 1/2 and 2/51 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/2 - 2/51
= [(1 x 102)/(2 x 102)] - [(2 x 102)/(51 x 102)]
step 5 Simplify the expression to have common denominator:
= 51/102 - 4/102
step 6 Take the common values out and rewrite the above expression like the below:
= 1/102 x (51/1 - 4/1)
= 1/102 x (51 - 4)
step 7Simplify the above expression further:
= 1/102 x 47
= 47/102
1/2 - 2/51 = 47/102
Hence,
1/2 minus 2/51 as a fraction is 47/102.
1/2 - 2/51 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 2/51
What to be found?
(1/2)-(2/51) = ?
Find what's the difference between 1/2 and 2/51.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 51), find the product of numerator of Fraction B and denominator of Fraction A (2 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 51) and rewrite the equation as like the below:
= (1 x 51) - (2 x 2)/(2 x 51)
step 3 Simplify and rewrite the fraction:
= (51 - 4)/102
1/2 - 2/51 = 47/102
Hence,
1/2 minus 2/51 in fraction is 47/102