7/3 - 15/2 as a fraction

Learn how to find what is 7/3 minus 15/2 in fraction form just in a few minutes. We have covered the easiest method to write 7/3 - 15/2 as a fraction and decimal.

Summary: 7/3 minus 15/2 = -31/6
Since both fractions have unequal denominators, 7/3 minus 15/2 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 7/3 and fraction 15/2 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 2. 6 is the LCM of 3 and 2. Multiplying the LCM 6 with the numerators and denominators of both fractions (7/3 x 6/6) - (15/2 x 6/6), and simplify further in order to have the common denominator. So the equivalent fraction for 7/3 is 14/6 and for 15/2 is 45/6. By simplifying this fraction subtraction 14/6 - 45/6, it becomes -31/6.

CALCULATION: 7/3 - 15/2 as a fraction
7/3 - 15/2 = (?)
7/3 - 15/2 = [(7 x 2) - (15 x 3)]/(3 x 2)
= (14 - 45)/6
= -31/6
7/3 - 15/2 = -31/6
7/3 minus 15/2 as a fraction is -31/6.

where
7/3 is a improper fraction as a minuend,
15/2 is a improper fraction as a subtrahend,
-31/6 is the difference between 7/3 and 15/2.

---

7/3 minus 15/2 as a decimal
7/3 - 15/2 = -31/6
-31/6 = -5.1667
(7/3) - (15/2) as a decimal is -5.1667

where
-5.1667 is the difference between 7/3 and 15/2.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 15/2 from 7/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 7/3 minus 15/2.
1. LCM method
2. Cross multiplication method.

(7/3) - (15/2) using LCM Method:
What is 7/3 minus 15/2 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/3
Fraction B: 15/2

What to be found?
(7/3) - (15/2) = ?
Find what's the difference between 7/3 and 15/2.

step 2 Compare the denominators of fractions 7/3 and 15/2 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/3 and 15/2 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 7/3 and 15/2:
The LCM of 3 and 2 is 6.

step 4 Write the fractions 7/3 and 15/2 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/3 - 15/2
= [(7 x 6)/(3 x 6)] - [(15 x 6)/(2 x 6)]

step 5 Simplify the expression to have common denominator:
= 14/6 - 45/6

step 6 Take the common values out and rewrite the above expression like the below:
= 1/6 x (14/1 - 45/1)
= 1/6 x (14 - 45)

step 7Simplify the above expression further:
= 1/6 x -31
= -31/6
7/3 - 15/2 = -31/6

Hence,
7/3 minus 15/2 as a fraction is -31/6.

---

7/3 - 15/2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/3
Fraction B: 15/2

What to be found?
(7/3)-(15/2) = ?
Find what's the difference between 7/3 and 15/2.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 2), find the product of numerator of Fraction B and denominator of Fraction A (15 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 2) and rewrite the equation as like the below:
= (7 x 2) - (15 x 3)/(3 x 2)

step 3 Simplify and rewrite the fraction:
= (14 - 45)/6
7/3 - 15/2 = -31/6

Hence,
7/3 minus 15/2 in fraction is -31/6