7/2 - 8/3 as a fraction

Learn how to find what is 7/2 minus 8/3 in fraction form just in a few minutes. We have covered the easiest method to write 7/2 - 8/3 as a fraction and decimal.

Summary: 7/2 minus 8/3 = 5/6
Since both fractions have unequal denominators, 7/2 minus 8/3 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 7/2 and fraction 8/3 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 (7/2 x 6/6) - (8/3 x 6/6), and simplify further in order to have the common denominator. So the equivalent fraction for 7/2 is 21/6 and for 8/3 is 16/6. By simplifying this fraction subtraction 21/6 - 16/6, it becomes 5/6.

Pie Chart Representation: 7/2 - 8/3 = 5/6

CALCULATION: 7/2 - 8/3 as a fraction
7/2 - 8/3 = (?)
7/2 - 8/3 = [(7 x 3) - (8 x 2)]/(2 x 3)
= (21 - 16)/6
= 5/6
7/2 - 8/3 = 5/6
7/2 minus 8/3 as a fraction is 5/6.

where
7/2 is a improper fraction as a minuend,
8/3 is a improper fraction as a subtrahend,
5/6 is the difference between 7/2 and 8/3.

---

7/2 minus 8/3 as a decimal
7/2 - 8/3 = 5/6
5/6 = 0.8333
(7/2) - (8/3) as a decimal is 0.8333

where
0.8333 is the difference between 7/2 and 8/3.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 8/3 from 7/2. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 7/2 minus 8/3.
1. LCM method
2. Cross multiplication method.

(7/2) - (8/3) using LCM Method:
What is 7/2 minus 8/3 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/2
Fraction B: 8/3

What to be found?
(7/2) - (8/3) = ?
Find what's the difference between 7/2 and 8/3.

step 2 Compare the denominators of fractions 7/2 and 8/3 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/2 and 8/3 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 7/2 and 8/3:
The LCM of 2 and 3 is 6.

step 4 Write the fractions 7/2 and 8/3 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/2 - 8/3
= [(7 x 6)/(2 x 6)] - [(8 x 6)/(3 x 6)]

step 5 Simplify the expression to have common denominator:
= 21/6 - 16/6

step 6 Take the common values out and rewrite the above expression like the below:
= 1/6 x (21/1 - 16/1)
= 1/6 x (21 - 16)

step 7Simplify the above expression further:
= 1/6 x 5
= 5/6
7/2 - 8/3 = 5/6

Hence,
7/2 minus 8/3 as a fraction is 5/6.

---

7/2 - 8/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/2
Fraction B: 8/3

What to be found?
(7/2)-(8/3) = ?
Find what's the difference between 7/2 and 8/3.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 3), find the product of numerator of Fraction B and denominator of Fraction A (8 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:
= (7 x 3) - (8 x 2)/(2 x 3)

step 3 Simplify and rewrite the fraction:
= (21 - 16)/6
7/2 - 8/3 = 5/6

Hence,
7/2 minus 8/3 in fraction is 5/6