What is 2/1 - 4/15 in fraction?
2/1 - 4/15 equals to 26/15 in fraction form.
Learn how to find what is 2/1 minus 4/15 in fraction form just in a few minutes. We have covered the easiest method to write 2/1 - 4/15 as a fraction and decimal.
Summary: 2/1 minus 4/15 = 26/15
Since both fractions have unequal denominators, 2/1 minus 4/15 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/1 and fraction 4/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 15. 15 is the LCM of 1 and 15. Multiplying the LCM 15 with the numerators and denominators of both fractions (2/1 x 15/15) - (4/15 x 15/15), and simplify further in order to have the common denominator. So the equivalent fraction for 2/1 is 30/15 and for 4/15 is 4/15. By simplifying this fraction subtraction 30/15 - 4/15, it becomes 26/15.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 4/15 from 2/1. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 2/1 minus 4/15.
1. LCM method
2. Cross multiplication method.
(2/1) - (4/15) using LCM Method:
What is 2/1 minus 4/15 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/1
Fraction B: 4/15
What to be found?
(2/1) - (4/15) = ?
Find what's the difference between 2/1 and 4/15.
step 2 Compare the denominators of fractions 2/1 and 4/15 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/1 and 4/15 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 2/1 and 4/15:
The LCM of 1 and 15 is 15.
step 4 Write the fractions 2/1 and 4/15 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/1 - 4/15
= [(2 x 15)/(1 x 15)] - [(4 x 15)/(15 x 15)]
step 5 Simplify the expression to have common denominator:
= 30/15 - 4/15
step 6 Take the common values out and rewrite the above expression like the below:
= 1/15 x (30/1 - 4/1)
= 1/15 x (30 - 4)
step 7Simplify the above expression further:
= 1/15 x 26
= 26/15
2/1 - 4/15 = 26/15
Hence,
2/1 minus 4/15 as a fraction is 26/15.
2/1 - 4/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/1
Fraction B: 4/15
What to be found?
(2/1)-(4/15) = ?
Find what's the difference between 2/1 and 4/15.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 15), find the product of numerator of Fraction B and denominator of Fraction A (4 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 15) and rewrite the equation as like the below:
= (2 x 15) - (4 x 1)/(1 x 15)
step 3 Simplify and rewrite the fraction:
= (30 - 4)/15
2/1 - 4/15 = 26/15
Hence,
2/1 minus 4/15 in fraction is 26/15