7/3 - 17/12 as a fraction

Learn how to find what is 7/3 minus 17/12 in fraction form just in a few minutes. We have covered the easiest method to write 7/3 - 17/12 as a fraction and decimal.

Summary: 7/3 minus 17/12 = 11/12
Since both fractions have unequal denominators, 7/3 minus 17/12 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 7/3 and fraction 17/12 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 12. 12 is the LCM of 3 and 12. Multiplying the LCM 12 with the numerators and denominators of both fractions (7/3 x 12/12) - (17/12 x 12/12), and simplify further in order to have the common denominator. So the equivalent fraction for 7/3 is 28/12 and for 17/12 is 17/12. By simplifying this fraction subtraction 28/12 - 17/12, it becomes 11/12.

Pie Chart Representation: 7/3 - 17/12 = 11/12

CALCULATION: 7/3 - 17/12 as a fraction
7/3 - 17/12 = (?)
7/3 - 17/12 = [(7 x 12) - (17 x 3)]/(3 x 12)
= (84 - 51)/36
= 33/36
= (3 x 11)/(3 x 12)
= 11/12
7/3 - 17/12 = 11/12
7/3 minus 17/12 as a fraction is 11/12.

where
7/3 is a improper fraction as a minuend,
17/12 is a improper fraction as a subtrahend,
11/12 is the difference between 7/3 and 17/12.

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7/3 minus 17/12 as a decimal
7/3 - 17/12 = 11/12
11/12 = 0.9167
(7/3) - (17/12) as a decimal is 0.9167

where
0.9167 is the difference between 7/3 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 7/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 7/3 minus 17/12.
1. LCM method
2. Cross multiplication method.

(7/3) - (17/12) using LCM Method:
What is 7/3 minus 17/12 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/3
Fraction B: 17/12

What to be found?
(7/3) - (17/12) = ?
Find what's the difference between 7/3 and 17/12.

step 2 Compare the denominators of fractions 7/3 and 17/12 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/3 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 7/3 and 17/12:
The LCM of 3 and 12 is 12.

step 4 Write the fractions 7/3 and 17/12 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/3 - 17/12
= [(7 x 12)/(3 x 12)] - [(17 x 12)/(12 x 12)]

step 5 Simplify the expression to have common denominator:
= 28/12 - 17/12

step 6 Take the common values out and rewrite the above expression like the below:
= 1/12 x (28/1 - 17/1)
= 1/12 x (28 - 17)

step 7Simplify the above expression further:
= 1/12 x 11
= 11/12
7/3 - 17/12 = 11/12

Hence,
7/3 minus 17/12 as a fraction is 11/12.

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7/3 - 17/12 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/3
Fraction B: 17/12

What to be found?
(7/3)-(17/12) = ?
Find what's the difference between 7/3 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 3), and find the product of both denominators of Fraction A and Fraction B (3 x 12) and rewrite the equation as like the below:
= (7 x 12) - (17 x 3)/(3 x 12)

step 3 Simplify and rewrite the fraction:
= (84 - 51)/36
= 33/36
= 11/12
7/3 - 17/12 = 11/12

Hence,
7/3 minus 17/12 in fraction is 11/12