4/7 - 17/18 as a fraction

Learn how to find what is 4/7 minus 17/18 in fraction form just in a few minutes. We have covered the easiest method to write 4/7 - 17/18 as a fraction and decimal.

Summary: 4/7 minus 17/18 = -47/126
Since both fractions have unequal denominators, 4/7 minus 17/18 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 4/7 and fraction 17/18 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 18. 126 is the LCM of 7 and 18. Multiplying the LCM 126 with the numerators and denominators of both fractions (4/7 x 126/126) - (17/18 x 126/126), and simplify further in order to have the common denominator. So the equivalent fraction for 4/7 is 72/126 and for 17/18 is 119/126. By simplifying this fraction subtraction 72/126 - 119/126, it becomes -47/126.

CALCULATION: 4/7 - 17/18 as a fraction
4/7 - 17/18 = (?)
4/7 - 17/18 = [(4 x 18) - (17 x 7)]/(7 x 18)
= (72 - 119)/126
= -47/126
4/7 - 17/18 = -47/126
4/7 minus 17/18 as a fraction is -47/126.

where
4/7 is a proper fraction as a minuend,
17/18 is a proper fraction as a subtrahend,
-47/126 is the difference between 4/7 and 17/18.

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4/7 minus 17/18 as a decimal
4/7 - 17/18 = -47/126
-47/126 = -0.373
(4/7) - (17/18) as a decimal is -0.373

where
-0.373 is the difference between 4/7 and 17/18.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 17/18 from 4/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 4/7 minus 17/18.
1. LCM method
2. Cross multiplication method.

(4/7) - (17/18) using LCM Method:
What is 4/7 minus 17/18 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/7
Fraction B: 17/18

What to be found?
(4/7) - (17/18) = ?
Find what's the difference between 4/7 and 17/18.

step 2 Compare the denominators of fractions 4/7 and 17/18 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 4/7 and 17/18 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 4/7 and 17/18:
The LCM of 7 and 18 is 126.

step 4 Write the fractions 4/7 and 17/18 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 4/7 - 17/18
= [(4 x 126)/(7 x 126)] - [(17 x 126)/(18 x 126)]

step 5 Simplify the expression to have common denominator:
= 72/126 - 119/126

step 6 Take the common values out and rewrite the above expression like the below:
= 1/126 x (72/1 - 119/1)
= 1/126 x (72 - 119)

step 7Simplify the above expression further:
= 1/126 x -47
= -47/126
4/7 - 17/18 = -47/126

Hence,
4/7 minus 17/18 as a fraction is -47/126.

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4/7 - 17/18 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/7
Fraction B: 17/18

What to be found?
(4/7)-(17/18) = ?
Find what's the difference between 4/7 and 17/18.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (4 x 18), 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 18) and rewrite the equation as like the below:
= (4 x 18) - (17 x 7)/(7 x 18)

step 3 Simplify and rewrite the fraction:
= (72 - 119)/126
4/7 - 17/18 = -47/126

Hence,
4/7 minus 17/18 in fraction is -47/126