What is 1/4 - 2/43 in fraction?
1/4 - 2/43 equals to 35/172 in fraction form.
Learn how to find what is 1/4 minus 2/43 in fraction form just in a few minutes. We have covered the easiest method to write 1/4 - 2/43 as a fraction and decimal.
Summary: 1/4 minus 2/43 = 35/172
Since both fractions have unequal denominators, 1/4 minus 2/43 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/4 and fraction 2/43 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 43. 172 is the LCM of 4 and 43. Multiplying the LCM 172 with the numerators and denominators of both fractions (1/4 x 172/172) - (2/43 x 172/172), and simplify further in order to have the common denominator. So the equivalent fraction for 1/4 is 43/172 and for 2/43 is 8/172. By simplifying this fraction subtraction 43/172 - 8/172, it becomes 35/172.
Pie Chart Representation: 1/4 - 2/43 = 35/172
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/43 from 1/4. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/4 minus 2/43.
1. LCM method
2. Cross multiplication method.
(1/4) - (2/43) using LCM Method:
What is 1/4 minus 2/43 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/43
What to be found?
(1/4) - (2/43) = ?
Find what's the difference between 1/4 and 2/43.
step 2 Compare the denominators of fractions 1/4 and 2/43 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/4 and 2/43 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 1/4 and 2/43:
The LCM of 4 and 43 is 172.
step 4 Write the fractions 1/4 and 2/43 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/4 - 2/43
= [(1 x 172)/(4 x 172)] - [(2 x 172)/(43 x 172)]
step 5 Simplify the expression to have common denominator:
= 43/172 - 8/172
step 6 Take the common values out and rewrite the above expression like the below:
= 1/172 x (43/1 - 8/1)
= 1/172 x (43 - 8)
step 7Simplify the above expression further:
= 1/172 x 35
= 35/172
1/4 - 2/43 = 35/172
Hence,
1/4 minus 2/43 as a fraction is 35/172.
1/4 - 2/43 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/43
What to be found?
(1/4)-(2/43) = ?
Find what's the difference between 1/4 and 2/43.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 43), find the product of numerator of Fraction B and denominator of Fraction A (2 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 43) and rewrite the equation as like the below:
= (1 x 43) - (2 x 4)/(4 x 43)
step 3 Simplify and rewrite the fraction:
= (43 - 8)/172
1/4 - 2/43 = 35/172
Hence,
1/4 minus 2/43 in fraction is 35/172