What is 6 - 4/3 in fraction?
6 - 4/3 equals to 14/3 in fraction form.
Learn how to find what is 6 minus 4/3 in fraction form just in a few minutes. We have covered the easiest method to write 6 - 4/3 as a fraction and decimal.
Summary: 6 minus 4/3 = 14/3
Since both fractions have unequal denominators, 6 minus 4/3 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 6 and fraction 4/3 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 3. 3 is the LCM of 1 and 3. Multiplying the LCM 3 with the numerators and denominators of both fractions (6 x 3/3) - (4/3 x 3/3), and simplify further in order to have the common denominator. So the equivalent fraction for 6 is 18/3 and for 4/3 is 4/3. By simplifying this fraction subtraction 18/3 - 4/3, it becomes 14/3.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 4/3 from 6. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 6 minus 4/3.
1. LCM method
2. Cross multiplication method.
(6) - (4/3) using LCM Method:
What is 6 minus 4/3 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/1
Fraction B: 4/3
What to be found?
(6) - (4/3) = ?
Find what's the difference between 6 and 4/3.
step 2 Compare the denominators of fractions 6 and 4/3 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 6 and 4/3 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 6 and 4/3:
The LCM of 1 and 3 is 3.
step 4 Write the fractions 6 and 4/3 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 6 - 4/3
= [(6 x 3)/(1 x 3)] - [(4 x 3)/(3 x 3)]
step 5 Simplify the expression to have common denominator:
= 18/3 - 4/3
step 6 Take the common values out and rewrite the above expression like the below:
= 1/3 x (18/1 - 4/1)
= 1/3 x (18 - 4)
step 7Simplify the above expression further:
= 1/3 x 14
= 14/3
6 - 4/3 = 14/3
Hence,
6 minus 4/3 as a fraction is 14/3.
6 - 4/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/1
Fraction B: 4/3
What to be found?
(6)-(4/3) = ?
Find what's the difference between 6 and 4/3.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (6 x 3), 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 3) and rewrite the equation as like the below:
= (6 x 3) - (4 x 1)/(1 x 3)
step 3 Simplify and rewrite the fraction:
= (18 - 4)/3
6 - 4/3 = 14/3
Hence,
6 minus 4/3 in fraction is 14/3