What is 2/1 - 9/14 in fraction?
2/1 - 9/14 equals to 19/14 in fraction form.
Learn how to find what is 2/1 minus 9/14 in fraction form just in a few minutes. We have covered the easiest method to write 2/1 - 9/14 as a fraction and decimal.
Summary: 2/1 minus 9/14 = 19/14
Since both fractions have unequal denominators, 2/1 minus 9/14 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/1 and fraction 9/14 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 14. 14 is the LCM of 1 and 14. Multiplying the LCM 14 with the numerators and denominators of both fractions (2/1 x 14/14) - (9/14 x 14/14), and simplify further in order to have the common denominator. So the equivalent fraction for 2/1 is 28/14 and for 9/14 is 9/14. By simplifying this fraction subtraction 28/14 - 9/14, it becomes 19/14.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 9/14 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 9/14.
1. LCM method
2. Cross multiplication method.
(2/1) - (9/14) using LCM Method:
What is 2/1 minus 9/14 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/1
Fraction B: 9/14
What to be found?
(2/1) - (9/14) = ?
Find what's the difference between 2/1 and 9/14.
step 2 Compare the denominators of fractions 2/1 and 9/14 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/1 and 9/14 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 9/14:
The LCM of 1 and 14 is 14.
step 4 Write the fractions 2/1 and 9/14 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/1 - 9/14
= [(2 x 14)/(1 x 14)] - [(9 x 14)/(14 x 14)]
step 5 Simplify the expression to have common denominator:
= 28/14 - 9/14
step 6 Take the common values out and rewrite the above expression like the below:
= 1/14 x (28/1 - 9/1)
= 1/14 x (28 - 9)
step 7Simplify the above expression further:
= 1/14 x 19
= 19/14
2/1 - 9/14 = 19/14
Hence,
2/1 minus 9/14 as a fraction is 19/14.
2/1 - 9/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/1
Fraction B: 9/14
What to be found?
(2/1)-(9/14) = ?
Find what's the difference between 2/1 and 9/14.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 14), find the product of numerator of Fraction B and denominator of Fraction A (9 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 14) and rewrite the equation as like the below:
= (2 x 14) - (9 x 1)/(1 x 14)
step 3 Simplify and rewrite the fraction:
= (28 - 9)/14
2/1 - 9/14 = 19/14
Hence,
2/1 minus 9/14 in fraction is 19/14