What is 14/3 - 2 in fraction?
14/3 - 2 equals to 8/3 in fraction form.
Learn how to find what is 14/3 minus 2 in fraction form just in a few minutes. We have covered the easiest method to write 14/3 - 2 as a fraction and decimal.
Summary: 14/3 minus 2 = 8/3
Since both fractions have unequal denominators, 14/3 minus 2 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 14/3 and fraction 2 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 1. 3 is the LCM of 3 and 1. Multiplying the LCM 3 with the numerators and denominators of both fractions (14/3 x 3/3) - (2 x 3/3), and simplify further in order to have the common denominator. So the equivalent fraction for 14/3 is 14/3 and for 2 is 6/3. By simplifying this fraction subtraction 14/3 - 6/3, it becomes 8/3.
The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 2 from 14/3. use any one of the following methods to find the equivalent fraction for 14/3 minus 2.
1. LCM method
2. Cross multiplication method.
(14/3) - (2) using LCM Method:
What is 14/3 minus 2 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/3
Fraction B: 2/1
What to be found?
(14/3) - (2) = ?
Find what's the difference between 14/3 and 2.
step 2 Compare the denominators of fractions 14/3 and 2 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 14/3 and 2 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 14/3 and 2:
The LCM of 3 and 1 is 3.
step 4 Write the fractions 14/3 and 2 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 14/3 - 2
= [(14 x 3)/(3 x 3)] - [(2 x 3)/(1 x 3)]
step 5 Simplify the expression to have common denominator:
= 14/3 - 6/3
step 6 Take the common values out and rewrite the above expression like the below:
= 1/3 x (14/1 - 6/1)
= 1/3 x (14 - 6)
step 7Simplify the above expression further:
= 1/3 x 8
= 8/3
14/3 - 2 = 8/3
Hence,
14/3 minus 2 as a fraction is 8/3.
14/3 - 2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/3
Fraction B: 2/1
What to be found?
(14/3)-(2) = ?
Find what's the difference between 14/3 and 2.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (14 x 1), find the product of numerator of Fraction B and denominator of Fraction A (2 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 1) and rewrite the equation as like the below:
= (14 x 1) - (2 x 3)/(3 x 1)
step 3 Simplify and rewrite the fraction:
= (14 - 6)/3
14/3 - 2 = 8/3
Hence,
14/3 minus 2 in fraction is 8/3