17/8 - 2/7 as a fraction

Learn how to find what is 17/8 minus 2/7 in fraction form just in a few minutes. We have covered the easiest method to write 17/8 - 2/7 as a fraction and decimal.

Summary: 17/8 minus 2/7 = 103/56
Since both fractions have unequal denominators, 17/8 minus 2/7 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 17/8 and fraction 2/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 7. 56 is the LCM of 8 and 7. Multiplying the LCM 56 with the numerators and denominators of both fractions (17/8 x 56/56) - (2/7 x 56/56), and simplify further in order to have the common denominator. So the equivalent fraction for 17/8 is 119/56 and for 2/7 is 16/56. By simplifying this fraction subtraction 119/56 - 16/56, it becomes 103/56.

CALCULATION: 17/8 - 2/7 as a fraction
17/8 - 2/7 = (?)
17/8 - 2/7 = [(17 x 7) - (2 x 8)]/(8 x 7)
= (119 - 16)/56
= 103/56
17/8 - 2/7 = 103/56
17/8 minus 2/7 as a fraction is 103/56.

where
17/8 is a improper fraction as a minuend,
2/7 is a proper fraction as a subtrahend,
103/56 is the difference between 17/8 and 2/7.

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17/8 minus 2/7 as a decimal
17/8 - 2/7 = 103/56
103/56 = 1.8393
(17/8) - (2/7) as a decimal is 1.8393

where
1.8393 is the difference between 17/8 and 2/7.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/7 from 17/8. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 17/8 minus 2/7.
1. LCM method
2. Cross multiplication method.

(17/8) - (2/7) using LCM Method:
What is 17/8 minus 2/7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/8
Fraction B: 2/7

What to be found?
(17/8) - (2/7) = ?
Find what's the difference between 17/8 and 2/7.

step 2 Compare the denominators of fractions 17/8 and 2/7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 17/8 and 2/7 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 17/8 and 2/7:
The LCM of 8 and 7 is 56.

step 4 Write the fractions 17/8 and 2/7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/8 - 2/7
= [(17 x 56)/(8 x 56)] - [(2 x 56)/(7 x 56)]

step 5 Simplify the expression to have common denominator:
= 119/56 - 16/56

step 6 Take the common values out and rewrite the above expression like the below:
= 1/56 x (119/1 - 16/1)
= 1/56 x (119 - 16)

step 7Simplify the above expression further:
= 1/56 x 103
= 103/56
17/8 - 2/7 = 103/56

Hence,
17/8 minus 2/7 as a fraction is 103/56.

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17/8 - 2/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/8
Fraction B: 2/7

What to be found?
(17/8)-(2/7) = ?
Find what's the difference between 17/8 and 2/7.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 7), find the product of numerator of Fraction B and denominator of Fraction A (2 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 7) and rewrite the equation as like the below:
= (17 x 7) - (2 x 8)/(8 x 7)

step 3 Simplify and rewrite the fraction:
= (119 - 16)/56
17/8 - 2/7 = 103/56

Hence,
17/8 minus 2/7 in fraction is 103/56