17/2 - 7/12 as a fraction

Learn how to find what is 17/2 minus 7/12 in fraction form just in a few minutes. We have covered the easiest method to write 17/2 - 7/12 as a fraction and decimal.

Summary: 17/2 minus 7/12 = 95/12
Since both fractions have unequal denominators, 17/2 minus 7/12 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 17/2 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 (17/2 x 12/12) - (7/12 x 12/12), and simplify further in order to have the common denominator. So the equivalent fraction for 17/2 is 102/12 and for 7/12 is 7/12. By simplifying this fraction subtraction 102/12 - 7/12, it becomes 95/12.

CALCULATION: 17/2 - 7/12 as a fraction
17/2 - 7/12 = (?)
17/2 - 7/12 = [(17 x 12) - (7 x 2)]/(2 x 12)
= (204 - 14)/24
= 190/24
= (2 x 95)/(2 x 12)
= 95/12
17/2 - 7/12 = 95/12
17/2 minus 7/12 as a fraction is 95/12.

where
17/2 is a improper fraction as a minuend,
7/12 is a proper fraction as a subtrahend,
95/12 is the difference between 17/2 and 7/12.

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17/2 minus 7/12 as a decimal
17/2 - 7/12 = 95/12
95/12 = 7.9167
(17/2) - (7/12) as a decimal is 7.9167

where
7.9167 is the difference between 17/2 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 17/2. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 17/2 minus 7/12.
1. LCM method
2. Cross multiplication method.

(17/2) - (7/12) using LCM Method:
What is 17/2 minus 7/12 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/2
Fraction B: 7/12

What to be found?
(17/2) - (7/12) = ?
Find what's the difference between 17/2 and 7/12.

step 2 Compare the denominators of fractions 17/2 and 7/12 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 17/2 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 17/2 and 7/12:
The LCM of 2 and 12 is 12.

step 4 Write the fractions 17/2 and 7/12 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/2 - 7/12
= [(17 x 12)/(2 x 12)] - [(7 x 12)/(12 x 12)]

step 5 Simplify the expression to have common denominator:
= 102/12 - 7/12

step 6 Take the common values out and rewrite the above expression like the below:
= 1/12 x (102/1 - 7/1)
= 1/12 x (102 - 7)

step 7Simplify the above expression further:
= 1/12 x 95
= 95/12
17/2 - 7/12 = 95/12

Hence,
17/2 minus 7/12 as a fraction is 95/12.

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17/2 - 7/12 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/2
Fraction B: 7/12

What to be found?
(17/2)-(7/12) = ?
Find what's the difference between 17/2 and 7/12.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 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:
= (17 x 12) - (7 x 2)/(2 x 12)

step 3 Simplify and rewrite the fraction:
= (204 - 14)/24
= 190/24
= 95/12
17/2 - 7/12 = 95/12

Hence,
17/2 minus 7/12 in fraction is 95/12