What is 2/7 - 1/51 in fraction?
2/7 - 1/51 equals to 95/357 in fraction form.
Learn how to find what is 2/7 minus 1/51 in fraction form just in a few minutes. We have covered the easiest method to write 2/7 - 1/51 as a fraction and decimal.
Summary: 2/7 minus 1/51 = 95/357
Since both fractions have unequal denominators, 2/7 minus 1/51 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/7 and fraction 1/51 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 51. 357 is the LCM of 7 and 51. Multiplying the LCM 357 with the numerators and denominators of both fractions (2/7 x 357/357) - (1/51 x 357/357), and simplify further in order to have the common denominator. So the equivalent fraction for 2/7 is 102/357 and for 1/51 is 7/357. By simplifying this fraction subtraction 102/357 - 7/357, it becomes 95/357.
Pie Chart Representation: 2/7 - 1/51 = 95/357
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 1/51 from 2/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 2/7 minus 1/51.
1. LCM method
2. Cross multiplication method.
(2/7) - (1/51) using LCM Method:
What is 2/7 minus 1/51 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 1/51
What to be found?
(2/7) - (1/51) = ?
Find what's the difference between 2/7 and 1/51.
step 2 Compare the denominators of fractions 2/7 and 1/51 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/7 and 1/51 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 2/7 and 1/51:
The LCM of 7 and 51 is 357.
step 4 Write the fractions 2/7 and 1/51 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/7 - 1/51
= [(2 x 357)/(7 x 357)] - [(1 x 357)/(51 x 357)]
step 5 Simplify the expression to have common denominator:
= 102/357 - 7/357
step 6 Take the common values out and rewrite the above expression like the below:
= 1/357 x (102/1 - 7/1)
= 1/357 x (102 - 7)
step 7Simplify the above expression further:
= 1/357 x 95
= 95/357
2/7 - 1/51 = 95/357
Hence,
2/7 minus 1/51 as a fraction is 95/357.
2/7 - 1/51 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 1/51
What to be found?
(2/7)-(1/51) = ?
Find what's the difference between 2/7 and 1/51.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 51), find the product of numerator of Fraction B and denominator of Fraction A (1 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 51) and rewrite the equation as like the below:
= (2 x 51) - (1 x 7)/(7 x 51)
step 3 Simplify and rewrite the fraction:
= (102 - 7)/357
2/7 - 1/51 = 95/357
Hence,
2/7 minus 1/51 in fraction is 95/357