1/5 - 18/7 as a fraction

Learn how to find what is 1/5 minus 18/7 in fraction form just in a few minutes. We have covered the easiest method to write 1/5 - 18/7 as a fraction and decimal.

Summary: 1/5 minus 18/7 = -83/35
Since both fractions have unequal denominators, 1/5 minus 18/7 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/5 and fraction 18/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 7. 35 is the LCM of 5 and 7. Multiplying the LCM 35 with the numerators and denominators of both fractions (1/5 x 35/35) - (18/7 x 35/35), and simplify further in order to have the common denominator. So the equivalent fraction for 1/5 is 7/35 and for 18/7 is 90/35. By simplifying this fraction subtraction 7/35 - 90/35, it becomes -83/35.

CALCULATION: 1/5 - 18/7 as a fraction
1/5 - 18/7 = (?)
1/5 - 18/7 = [(1 x 7) - (18 x 5)]/(5 x 7)
= (7 - 90)/35
= -83/35
1/5 - 18/7 = -83/35
1/5 minus 18/7 as a fraction is -83/35.

where
1/5 is a proper fraction as a minuend,
18/7 is a improper fraction as a subtrahend,
-83/35 is the difference between 1/5 and 18/7.

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1/5 minus 18/7 as a decimal
1/5 - 18/7 = -83/35
-83/35 = -2.3714
(1/5) - (18/7) as a decimal is -2.3714

where
-2.3714 is the difference between 1/5 and 18/7.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 18/7 from 1/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/5 minus 18/7.
1. LCM method
2. Cross multiplication method.

(1/5) - (18/7) using LCM Method:
What is 1/5 minus 18/7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 18/7

What to be found?
(1/5) - (18/7) = ?
Find what's the difference between 1/5 and 18/7.

step 2 Compare the denominators of fractions 1/5 and 18/7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/5 and 18/7 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 1/5 and 18/7:
The LCM of 5 and 7 is 35.

step 4 Write the fractions 1/5 and 18/7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/5 - 18/7
= [(1 x 35)/(5 x 35)] - [(18 x 35)/(7 x 35)]

step 5 Simplify the expression to have common denominator:
= 7/35 - 90/35

step 6 Take the common values out and rewrite the above expression like the below:
= 1/35 x (7/1 - 90/1)
= 1/35 x (7 - 90)

step 7Simplify the above expression further:
= 1/35 x -83
= -83/35
1/5 - 18/7 = -83/35

Hence,
1/5 minus 18/7 as a fraction is -83/35.

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1/5 - 18/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 18/7

What to be found?
(1/5)-(18/7) = ?
Find what's the difference between 1/5 and 18/7.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 7), find the product of numerator of Fraction B and denominator of Fraction A (18 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 7) and rewrite the equation as like the below:
= (1 x 7) - (18 x 5)/(5 x 7)

step 3 Simplify and rewrite the fraction:
= (7 - 90)/35
1/5 - 18/7 = -83/35

Hence,
1/5 minus 18/7 in fraction is -83/35