5/1 - 17/7 as a fraction

Learn how to find what is 5/1 minus 17/7 in fraction form just in a few minutes. We have covered the easiest method to write 5/1 - 17/7 as a fraction and decimal.

Summary: 5/1 minus 17/7 = 18/7
Since both fractions have unequal denominators, 5/1 minus 17/7 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/1 and fraction 17/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 7. 7 is the LCM of 1 and 7. Multiplying the LCM 7 with the numerators and denominators of both fractions (5/1 x 7/7) - (17/7 x 7/7), and simplify further in order to have the common denominator. So the equivalent fraction for 5/1 is 35/7 and for 17/7 is 17/7. By simplifying this fraction subtraction 35/7 - 17/7, it becomes 18/7.

CALCULATION: 5/1 - 17/7 as a fraction
5/1 - 17/7 = (?)
5/1 - 17/7 = [(5 x 7) - (17 x 1)]/(1 x 7)
= (35 - 17)/7
= 18/7
5/1 - 17/7 = 18/7
5/1 minus 17/7 as a fraction is 18/7.

where
5/1 is a improper fraction as a minuend,
17/7 is a improper fraction as a subtrahend,
18/7 is the difference between 5/1 and 17/7.

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5/1 minus 17/7 as a decimal
5/1 - 17/7 = 18/7
18/7 = 2.5714
(5/1) - (17/7) as a decimal is 2.5714

where
2.5714 is the difference between 5/1 and 17/7.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 17/7 from 5/1. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5/1 minus 17/7.
1. LCM method
2. Cross multiplication method.

(5/1) - (17/7) using LCM Method:
What is 5/1 minus 17/7 as a fraction?

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

What to be found?
(5/1) - (17/7) = ?
Find what's the difference between 5/1 and 17/7.

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

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

step 5 Simplify the expression to have common denominator:
= 35/7 - 17/7

step 6 Take the common values out and rewrite the above expression like the below:
= 1/7 x (35/1 - 17/1)
= 1/7 x (35 - 17)

step 7Simplify the above expression further:
= 1/7 x 18
= 18/7
5/1 - 17/7 = 18/7

Hence,
5/1 minus 17/7 as a fraction is 18/7.

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

What to be found?
(5/1)-(17/7) = ?
Find what's the difference between 5/1 and 17/7.

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

step 3 Simplify and rewrite the fraction:
= (35 - 17)/7
5/1 - 17/7 = 18/7

Hence,
5/1 minus 17/7 in fraction is 18/7