15/2 - 1/3 as a fraction

Learn how to find what is 15/2 minus 1/3 in fraction form just in a few minutes. We have covered the easiest method to write 15/2 - 1/3 as a fraction and decimal.

Summary: 15/2 minus 1/3 = 43/6
Since both fractions have unequal denominators, 15/2 minus 1/3 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 15/2 and fraction 1/3 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 3. 6 is the LCM of 2 and 3. Multiplying the LCM 6 with the numerators and denominators of both fractions (15/2 x 6/6) - (1/3 x 6/6), and simplify further in order to have the common denominator. So the equivalent fraction for 15/2 is 45/6 and for 1/3 is 2/6. By simplifying this fraction subtraction 45/6 - 2/6, it becomes 43/6.

CALCULATION: 15/2 - 1/3 as a fraction
15/2 - 1/3 = (?)
15/2 - 1/3 = [(15 x 3) - (1 x 2)]/(2 x 3)
= (45 - 2)/6
= 43/6
15/2 - 1/3 = 43/6
15/2 minus 1/3 as a fraction is 43/6.

where
15/2 is a improper fraction as a minuend,
1/3 is a proper fraction as a subtrahend,
43/6 is the difference between 15/2 and 1/3.

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15/2 minus 1/3 as a decimal
15/2 - 1/3 = 43/6
43/6 = 7.1667
(15/2) - (1/3) as a decimal is 7.1667

where
7.1667 is the difference between 15/2 and 1/3.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 1/3 from 15/2. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 15/2 minus 1/3.
1. LCM method
2. Cross multiplication method.

(15/2) - (1/3) using LCM Method:
What is 15/2 minus 1/3 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/2
Fraction B: 1/3

What to be found?
(15/2) - (1/3) = ?
Find what's the difference between 15/2 and 1/3.

step 2 Compare the denominators of fractions 15/2 and 1/3 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 15/2 and 1/3 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 15/2 and 1/3:
The LCM of 2 and 3 is 6.

step 4 Write the fractions 15/2 and 1/3 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 15/2 - 1/3
= [(15 x 6)/(2 x 6)] - [(1 x 6)/(3 x 6)]

step 5 Simplify the expression to have common denominator:
= 45/6 - 2/6

step 6 Take the common values out and rewrite the above expression like the below:
= 1/6 x (45/1 - 2/1)
= 1/6 x (45 - 2)

step 7Simplify the above expression further:
= 1/6 x 43
= 43/6
15/2 - 1/3 = 43/6

Hence,
15/2 minus 1/3 as a fraction is 43/6.

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15/2 - 1/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/2
Fraction B: 1/3

What to be found?
(15/2)-(1/3) = ?
Find what's the difference between 15/2 and 1/3.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (15 x 3), find the product of numerator of Fraction B and denominator of Fraction A (1 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 3) and rewrite the equation as like the below:
= (15 x 3) - (1 x 2)/(2 x 3)

step 3 Simplify and rewrite the fraction:
= (45 - 2)/6
15/2 - 1/3 = 43/6

Hence,
15/2 minus 1/3 in fraction is 43/6