What is 2/7 - 1/65 in fraction?
2/7 - 1/65 equals to 123/455 in fraction form.
Learn how to find what is 2/7 minus 1/65 in fraction form just in a few minutes. We have covered the easiest method to write 2/7 - 1/65 as a fraction and decimal.
Summary: 2/7 minus 1/65 = 123/455
Since both fractions have unequal denominators, 2/7 minus 1/65 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/7 and fraction 1/65 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 65. 455 is the LCM of 7 and 65. Multiplying the LCM 455 with the numerators and denominators of both fractions (2/7 x 455/455) - (1/65 x 455/455), and simplify further in order to have the common denominator. So the equivalent fraction for 2/7 is 130/455 and for 1/65 is 7/455. By simplifying this fraction subtraction 130/455 - 7/455, it becomes 123/455.
Pie Chart Representation: 2/7 - 1/65 = 123/455
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 1/65 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 1/65.
1. LCM method
2. Cross multiplication method.
(2/7) - (1/65) using LCM Method:
What is 2/7 minus 1/65 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 1/65
What to be found?
(2/7) - (1/65) = ?
Find what's the difference between 2/7 and 1/65.
step 2 Compare the denominators of fractions 2/7 and 1/65 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/7 and 1/65 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 1/65:
The LCM of 7 and 65 is 455.
step 4 Write the fractions 2/7 and 1/65 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/7 - 1/65
= [(2 x 455)/(7 x 455)] - [(1 x 455)/(65 x 455)]
step 5 Simplify the expression to have common denominator:
= 130/455 - 7/455
step 6 Take the common values out and rewrite the above expression like the below:
= 1/455 x (130/1 - 7/1)
= 1/455 x (130 - 7)
step 7Simplify the above expression further:
= 1/455 x 123
= 123/455
2/7 - 1/65 = 123/455
Hence,
2/7 minus 1/65 as a fraction is 123/455.
2/7 - 1/65 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 1/65
What to be found?
(2/7)-(1/65) = ?
Find what's the difference between 2/7 and 1/65.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 65), 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 65) and rewrite the equation as like the below:
= (2 x 65) - (1 x 7)/(7 x 65)
step 3 Simplify and rewrite the fraction:
= (130 - 7)/455
2/7 - 1/65 = 123/455
Hence,
2/7 minus 1/65 in fraction is 123/455