What is 2/5 - 1/86 in fraction?
2/5 - 1/86 equals to 167/430 in fraction form.
Learn how to find what is 2/5 minus 1/86 in fraction form just in a few minutes. We have covered the easiest method to write 2/5 - 1/86 as a fraction and decimal.
Summary: 2/5 minus 1/86 = 167/430
Since both fractions have unequal denominators, 2/5 minus 1/86 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/5 and fraction 1/86 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 86. 430 is the LCM of 5 and 86. Multiplying the LCM 430 with the numerators and denominators of both fractions (2/5 x 430/430) - (1/86 x 430/430), and simplify further in order to have the common denominator. So the equivalent fraction for 2/5 is 172/430 and for 1/86 is 5/430. By simplifying this fraction subtraction 172/430 - 5/430, it becomes 167/430.
Pie Chart Representation: 2/5 - 1/86 = 167/430
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 1/86 from 2/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 2/5 minus 1/86.
1. LCM method
2. Cross multiplication method.
(2/5) - (1/86) using LCM Method:
What is 2/5 minus 1/86 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/86
What to be found?
(2/5) - (1/86) = ?
Find what's the difference between 2/5 and 1/86.
step 2 Compare the denominators of fractions 2/5 and 1/86 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/5 and 1/86 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 2/5 and 1/86:
The LCM of 5 and 86 is 430.
step 4 Write the fractions 2/5 and 1/86 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/5 - 1/86
= [(2 x 430)/(5 x 430)] - [(1 x 430)/(86 x 430)]
step 5 Simplify the expression to have common denominator:
= 172/430 - 5/430
step 6 Take the common values out and rewrite the above expression like the below:
= 1/430 x (172/1 - 5/1)
= 1/430 x (172 - 5)
step 7Simplify the above expression further:
= 1/430 x 167
= 167/430
2/5 - 1/86 = 167/430
Hence,
2/5 minus 1/86 as a fraction is 167/430.
2/5 - 1/86 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/86
What to be found?
(2/5)-(1/86) = ?
Find what's the difference between 2/5 and 1/86.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 86), find the product of numerator of Fraction B and denominator of Fraction A (1 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 86) and rewrite the equation as like the below:
= (2 x 86) - (1 x 5)/(5 x 86)
step 3 Simplify and rewrite the fraction:
= (172 - 5)/430
2/5 - 1/86 = 167/430
Hence,
2/5 minus 1/86 in fraction is 167/430