5/2 - 7/12 as a fraction

Learn how to find what is 5/2 minus 7/12 in fraction form just in a few minutes. We have covered the easiest method to write 5/2 - 7/12 as a fraction and decimal.

Summary: 5/2 minus 7/12 = 23/12
Since both fractions have unequal denominators, 5/2 minus 7/12 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/2 and fraction 7/12 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 12. 12 is the LCM of 2 and 12. Multiplying the LCM 12 with the numerators and denominators of both fractions (5/2 x 12/12) - (7/12 x 12/12), and simplify further in order to have the common denominator. So the equivalent fraction for 5/2 is 30/12 and for 7/12 is 7/12. By simplifying this fraction subtraction 30/12 - 7/12, it becomes 23/12.

CALCULATION: 5/2 - 7/12 as a fraction
5/2 - 7/12 = (?)
5/2 - 7/12 = [(5 x 12) - (7 x 2)]/(2 x 12)
= (60 - 14)/24
= 46/24
= (2 x 23)/(2 x 12)
= 23/12
5/2 - 7/12 = 23/12
5/2 minus 7/12 as a fraction is 23/12.

where
5/2 is a improper fraction as a minuend,
7/12 is a proper fraction as a subtrahend,
23/12 is the difference between 5/2 and 7/12.

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5/2 minus 7/12 as a decimal
5/2 - 7/12 = 23/12
23/12 = 1.9167
(5/2) - (7/12) as a decimal is 1.9167

where
1.9167 is the difference between 5/2 and 7/12.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 7/12 from 5/2. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5/2 minus 7/12.
1. LCM method
2. Cross multiplication method.

(5/2) - (7/12) using LCM Method:
What is 5/2 minus 7/12 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/2
Fraction B: 7/12

What to be found?
(5/2) - (7/12) = ?
Find what's the difference between 5/2 and 7/12.

step 2 Compare the denominators of fractions 5/2 and 7/12 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/2 and 7/12 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 5/2 and 7/12:
The LCM of 2 and 12 is 12.

step 4 Write the fractions 5/2 and 7/12 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/2 - 7/12
= [(5 x 12)/(2 x 12)] - [(7 x 12)/(12 x 12)]

step 5 Simplify the expression to have common denominator:
= 30/12 - 7/12

step 6 Take the common values out and rewrite the above expression like the below:
= 1/12 x (30/1 - 7/1)
= 1/12 x (30 - 7)

step 7Simplify the above expression further:
= 1/12 x 23
= 23/12
5/2 - 7/12 = 23/12

Hence,
5/2 minus 7/12 as a fraction is 23/12.

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5/2 - 7/12 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/2
Fraction B: 7/12

What to be found?
(5/2)-(7/12) = ?
Find what's the difference between 5/2 and 7/12.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 12), find the product of numerator of Fraction B and denominator of Fraction A (7 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 12) and rewrite the equation as like the below:
= (5 x 12) - (7 x 2)/(2 x 12)

step 3 Simplify and rewrite the fraction:
= (60 - 14)/24
= 46/24
= 23/12
5/2 - 7/12 = 23/12

Hence,
5/2 minus 7/12 in fraction is 23/12