14/5 - 17/16 as a fraction

Learn how to find what is 14/5 minus 17/16 in fraction form just in a few minutes. We have covered the easiest method to write 14/5 - 17/16 as a fraction and decimal.

Summary: 14/5 minus 17/16 = 139/80
Since both fractions have unequal denominators, 14/5 minus 17/16 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 14/5 and fraction 17/16 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 16. 80 is the LCM of 5 and 16. Multiplying the LCM 80 with the numerators and denominators of both fractions (14/5 x 80/80) - (17/16 x 80/80), and simplify further in order to have the common denominator. So the equivalent fraction for 14/5 is 224/80 and for 17/16 is 85/80. By simplifying this fraction subtraction 224/80 - 85/80, it becomes 139/80.

CALCULATION: 14/5 - 17/16 as a fraction
14/5 - 17/16 = (?)
14/5 - 17/16 = [(14 x 16) - (17 x 5)]/(5 x 16)
= (224 - 85)/80
= 139/80
14/5 - 17/16 = 139/80
14/5 minus 17/16 as a fraction is 139/80.

where
14/5 is a improper fraction as a minuend,
17/16 is a improper fraction as a subtrahend,
139/80 is the difference between 14/5 and 17/16.

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14/5 minus 17/16 as a decimal
14/5 - 17/16 = 139/80
139/80 = 1.7375
(14/5) - (17/16) as a decimal is 1.7375

where
1.7375 is the difference between 14/5 and 17/16.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 17/16 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 17/16.
1. LCM method
2. Cross multiplication method.

(14/5) - (17/16) using LCM Method:
What is 14/5 minus 17/16 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/5
Fraction B: 17/16

What to be found?
(14/5) - (17/16) = ?
Find what's the difference between 14/5 and 17/16.

step 2 Compare the denominators of fractions 14/5 and 17/16 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 14/5 and 17/16 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 17/16:
The LCM of 5 and 16 is 80.

step 4 Write the fractions 14/5 and 17/16 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 14/5 - 17/16
= [(14 x 80)/(5 x 80)] - [(17 x 80)/(16 x 80)]

step 5 Simplify the expression to have common denominator:
= 224/80 - 85/80

step 6 Take the common values out and rewrite the above expression like the below:
= 1/80 x (224/1 - 85/1)
= 1/80 x (224 - 85)

step 7Simplify the above expression further:
= 1/80 x 139
= 139/80
14/5 - 17/16 = 139/80

Hence,
14/5 minus 17/16 as a fraction is 139/80.

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14/5 - 17/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/5
Fraction B: 17/16

What to be found?
(14/5)-(17/16) = ?
Find what's the difference between 14/5 and 17/16.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (14 x 16), 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 16) and rewrite the equation as like the below:
= (14 x 16) - (17 x 5)/(5 x 16)

step 3 Simplify and rewrite the fraction:
= (224 - 85)/80
14/5 - 17/16 = 139/80

Hence,
14/5 minus 17/16 in fraction is 139/80