12/1 - 7/2 as a fraction

Learn how to find what is 12/1 minus 7/2 in fraction form just in a few minutes. We have covered the easiest method to write 12/1 - 7/2 as a fraction and decimal.

Summary: 12/1 minus 7/2 = 17/2
Since both fractions have unequal denominators, 12/1 minus 7/2 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 12/1 and fraction 7/2 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 2. 2 is the LCM of 1 and 2. Multiplying the LCM 2 with the numerators and denominators of both fractions (12/1 x 2/2) - (7/2 x 2/2), and simplify further in order to have the common denominator. So the equivalent fraction for 12/1 is 24/2 and for 7/2 is 7/2. By simplifying this fraction subtraction 24/2 - 7/2, it becomes 17/2.

CALCULATION: 12/1 - 7/2 as a fraction
12/1 - 7/2 = (?)
12/1 - 7/2 = [(12 x 2) - (7 x 1)]/(1 x 2)
= (24 - 7)/2
= 17/2
12/1 - 7/2 = 17/2
12/1 minus 7/2 as a fraction is 17/2.

where
12/1 is a improper fraction as a minuend,
7/2 is a improper fraction as a subtrahend,
17/2 is the difference between 12/1 and 7/2.

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12/1 minus 7/2 as a decimal
12/1 - 7/2 = 17/2
17/2 = 8.5
(12/1) - (7/2) as a decimal is 8.5

where
8.5 is the difference between 12/1 and 7/2.

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

(12/1) - (7/2) using LCM Method:
What is 12/1 minus 7/2 as a fraction?

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

What to be found?
(12/1) - (7/2) = ?
Find what's the difference between 12/1 and 7/2.

step 2 Compare the denominators of fractions 12/1 and 7/2 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 12/1 and 7/2 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 12/1 and 7/2:
The LCM of 1 and 2 is 2.

step 4 Write the fractions 12/1 and 7/2 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 12/1 - 7/2
= [(12 x 2)/(1 x 2)] - [(7 x 2)/(2 x 2)]

step 5 Simplify the expression to have common denominator:
= 24/2 - 7/2

step 6 Take the common values out and rewrite the above expression like the below:
= 1/2 x (24/1 - 7/1)
= 1/2 x (24 - 7)

step 7Simplify the above expression further:
= 1/2 x 17
= 17/2
12/1 - 7/2 = 17/2

Hence,
12/1 minus 7/2 as a fraction is 17/2.

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

What to be found?
(12/1)-(7/2) = ?
Find what's the difference between 12/1 and 7/2.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (12 x 2), find the product of numerator of Fraction B and denominator of Fraction A (7 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 2) and rewrite the equation as like the below:
= (12 x 2) - (7 x 1)/(1 x 2)

step 3 Simplify and rewrite the fraction:
= (24 - 7)/2
12/1 - 7/2 = 17/2

Hence,
12/1 minus 7/2 in fraction is 17/2