5/7 - 17 as a fraction

Learn how to find what is 5/7 minus 17 in fraction form just in a few minutes. We have covered the easiest method to write 5/7 - 17 as a fraction and decimal.

Summary: 5/7 minus 17 = -114/7
Since both fractions have unequal denominators, 5/7 minus 17 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/7 and fraction 17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 1. 7 is the LCM of 7 and 1. Multiplying the LCM 7 with the numerators and denominators of both fractions (5/7 x 7/7) - (17 x 7/7), and simplify further in order to have the common denominator. So the equivalent fraction for 5/7 is 5/7 and for 17 is 119/7. By simplifying this fraction subtraction 5/7 - 119/7, it becomes -114/7.

CALCULATION: 5/7 - 17 as a fraction
5/7 - 17 = (?)
5/7 - 17/1 = [(5 x 1) - (17 x 7)]/(7 x 1)
= (5 - 119)/7
= -114/7
5/7 - 17 = -114/7
5/7 minus 17 as a fraction is -114/7.

where
5/7 is a proper fraction as a minuend,
17 is a whole number as a subtrahend,
-114/7 is the difference between 5/7 and 17.

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5/7 minus 17 as a decimal
5/7 - 17 = -114/7
-114/7 = -16.2857
(5/7) - (17) as a decimal is -16.2857

where
-16.2857 is the difference between 5/7 and 17.

The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 17 from 5/7. use any one of the following methods to find the equivalent fraction for 5/7 minus 17.
1. LCM method
2. Cross multiplication method.

(5/7) - (17) using LCM Method:
What is 5/7 minus 17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/7
Fraction B: 17/1

What to be found?
(5/7) - (17) = ?
Find what's the difference between 5/7 and 17.

step 2 Compare the denominators of fractions 5/7 and 17 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/7 and 17 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 5/7 and 17:
The LCM of 7 and 1 is 7.

step 4 Write the fractions 5/7 and 17 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/7 - 17
= [(5 x 7)/(7 x 7)] - [(17 x 7)/(1 x 7)]

step 5 Simplify the expression to have common denominator:
= 5/7 - 119/7

step 6 Take the common values out and rewrite the above expression like the below:
= 1/7 x (5/1 - 119/1)
= 1/7 x (5 - 119)

step 7Simplify the above expression further:
= 1/7 x -114
= -114/7
5/7 - 17 = -114/7

Hence,
5/7 minus 17 as a fraction is -114/7.

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5/7 - 17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/7
Fraction B: 17/1

What to be found?
(5/7)-(17) = ?
Find what's the difference between 5/7 and 17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 1), find the product of numerator of Fraction B and denominator of Fraction A (17 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 1) and rewrite the equation as like the below:
= (5 x 1) - (17 x 7)/(7 x 1)

step 3 Simplify and rewrite the fraction:
= (5 - 119)/7
5/7 - 17 = -114/7

Hence,
5/7 minus 17 in fraction is -114/7