7/2 - 17/12 as a fraction

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

Summary: 7/2 minus 17/12 = 25/12
Since both fractions have unequal denominators, 7/2 minus 17/12 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 7/2 and fraction 17/12 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 (7/2 x 12/12) - (17/12 x 12/12), and simplify further in order to have the common denominator. So the equivalent fraction for 7/2 is 42/12 and for 17/12 is 17/12. By simplifying this fraction subtraction 42/12 - 17/12, it becomes 25/12.

CALCULATION: 7/2 - 17/12 as a fraction
7/2 - 17/12 = (?)
7/2 - 17/12 = [(7 x 12) - (17 x 2)]/(2 x 12)
= (84 - 34)/24
= 50/24
= (2 x 25)/(2 x 12)
= 25/12
7/2 - 17/12 = 25/12
7/2 minus 17/12 as a fraction is 25/12.

where
7/2 is a improper fraction as a minuend,
17/12 is a improper fraction as a subtrahend,
25/12 is the difference between 7/2 and 17/12.

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7/2 minus 17/12 as a decimal
7/2 - 17/12 = 25/12
25/12 = 2.0833
(7/2) - (17/12) as a decimal is 2.0833

where
2.0833 is the difference between 7/2 and 17/12.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 17/12 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 17/12.
1. LCM method
2. Cross multiplication method.

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 42/12 - 17/12

step 6 Take the common values out and rewrite the above expression like the below:
= 1/12 x (42/1 - 17/1)
= 1/12 x (42 - 17)

step 7Simplify the above expression further:
= 1/12 x 25
= 25/12
7/2 - 17/12 = 25/12

Hence,
7/2 minus 17/12 as a fraction is 25/12.

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

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

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

step 3 Simplify and rewrite the fraction:
= (84 - 34)/24
= 50/24
= 25/12
7/2 - 17/12 = 25/12

Hence,
7/2 minus 17/12 in fraction is 25/12