14/5 - 17/6 as a fraction

Learn how to find what is 14/5 minus 17/6 in fraction form just in a few minutes. We have covered the easiest method to write 14/5 - 17/6 as a fraction and decimal.

Summary: 14/5 minus 17/6 = -1/30
Since both fractions have unequal denominators, 14/5 minus 17/6 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 14/5 and fraction 17/6 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 6. 30 is the LCM of 5 and 6. Multiplying the LCM 30 with the numerators and denominators of both fractions (14/5 x 30/30) - (17/6 x 30/30), and simplify further in order to have the common denominator. So the equivalent fraction for 14/5 is 84/30 and for 17/6 is 85/30. By simplifying this fraction subtraction 84/30 - 85/30, it becomes -1/30.

CALCULATION: 14/5 - 17/6 as a fraction
14/5 - 17/6 = (?)
14/5 - 17/6 = [(14 x 6) - (17 x 5)]/(5 x 6)
= (84 - 85)/30
= -1/30
14/5 - 17/6 = -1/30
14/5 minus 17/6 as a fraction is -1/30.

where
14/5 is a improper fraction as a minuend,
17/6 is a improper fraction as a subtrahend,
-1/30 is the difference between 14/5 and 17/6.

---

14/5 minus 17/6 as a decimal
14/5 - 17/6 = -1/30
-1/30 = -0.0333
(14/5) - (17/6) as a decimal is -0.0333

where
-0.0333 is the difference between 14/5 and 17/6.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 17/6 from 14/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 14/5 minus 17/6.
1. LCM method
2. Cross multiplication method.

(14/5) - (17/6) using LCM Method:
What is 14/5 minus 17/6 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/5
Fraction B: 17/6

What to be found?
(14/5) - (17/6) = ?
Find what's the difference between 14/5 and 17/6.

step 2 Compare the denominators of fractions 14/5 and 17/6 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 14/5 and 17/6 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 14/5 and 17/6:
The LCM of 5 and 6 is 30.

step 4 Write the fractions 14/5 and 17/6 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 14/5 - 17/6
= [(14 x 30)/(5 x 30)] - [(17 x 30)/(6 x 30)]

step 5 Simplify the expression to have common denominator:
= 84/30 - 85/30

step 6 Take the common values out and rewrite the above expression like the below:
= 1/30 x (84/1 - 85/1)
= 1/30 x (84 - 85)

step 7Simplify the above expression further:
= 1/30 x -1
= -1/30
14/5 - 17/6 = -1/30

Hence,
14/5 minus 17/6 as a fraction is -1/30.

---

14/5 - 17/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/5
Fraction B: 17/6

What to be found?
(14/5)-(17/6) = ?
Find what's the difference between 14/5 and 17/6.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (14 x 6), find the product of numerator of Fraction B and denominator of Fraction A (17 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 6) and rewrite the equation as like the below:
= (14 x 6) - (17 x 5)/(5 x 6)

step 3 Simplify and rewrite the fraction:
= (84 - 85)/30
14/5 - 17/6 = -1/30

Hence,
14/5 minus 17/6 in fraction is -1/30