What is 2/5 - 1/43 in fraction?
2/5 - 1/43 equals to 81/215 in fraction form.
Learn how to find what is 2/5 minus 1/43 in fraction form just in a few minutes. We have covered the easiest method to write 2/5 - 1/43 as a fraction and decimal.
Summary: 2/5 minus 1/43 = 81/215
Since both fractions have unequal denominators, 2/5 minus 1/43 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/5 and fraction 1/43 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 43. 215 is the LCM of 5 and 43. Multiplying the LCM 215 with the numerators and denominators of both fractions (2/5 x 215/215) - (1/43 x 215/215), and simplify further in order to have the common denominator. So the equivalent fraction for 2/5 is 86/215 and for 1/43 is 5/215. By simplifying this fraction subtraction 86/215 - 5/215, it becomes 81/215.
Pie Chart Representation: 2/5 - 1/43 = 81/215
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 1/43 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 1/43.
1. LCM method
2. Cross multiplication method.
(2/5) - (1/43) using LCM Method:
What is 2/5 minus 1/43 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/43
What to be found?
(2/5) - (1/43) = ?
Find what's the difference between 2/5 and 1/43.
step 2 Compare the denominators of fractions 2/5 and 1/43 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/5 and 1/43 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 1/43:
The LCM of 5 and 43 is 215.
step 4 Write the fractions 2/5 and 1/43 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/5 - 1/43
= [(2 x 215)/(5 x 215)] - [(1 x 215)/(43 x 215)]
step 5 Simplify the expression to have common denominator:
= 86/215 - 5/215
step 6 Take the common values out and rewrite the above expression like the below:
= 1/215 x (86/1 - 5/1)
= 1/215 x (86 - 5)
step 7Simplify the above expression further:
= 1/215 x 81
= 81/215
2/5 - 1/43 = 81/215
Hence,
2/5 minus 1/43 as a fraction is 81/215.
2/5 - 1/43 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/43
What to be found?
(2/5)-(1/43) = ?
Find what's the difference between 2/5 and 1/43.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 43), 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 43) and rewrite the equation as like the below:
= (2 x 43) - (1 x 5)/(5 x 43)
step 3 Simplify and rewrite the fraction:
= (86 - 5)/215
2/5 - 1/43 = 81/215
Hence,
2/5 minus 1/43 in fraction is 81/215