8/5 - 7/18 as a fraction

Learn how to find what is 8/5 minus 7/18 in fraction form just in a few minutes. We have covered the easiest method to write 8/5 - 7/18 as a fraction and decimal.

Summary: 8/5 minus 7/18 = 109/90
Since both fractions have unequal denominators, 8/5 minus 7/18 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 8/5 and fraction 7/18 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 18. 90 is the LCM of 5 and 18. Multiplying the LCM 90 with the numerators and denominators of both fractions (8/5 x 90/90) - (7/18 x 90/90), and simplify further in order to have the common denominator. So the equivalent fraction for 8/5 is 144/90 and for 7/18 is 35/90. By simplifying this fraction subtraction 144/90 - 35/90, it becomes 109/90.

CALCULATION: 8/5 - 7/18 as a fraction
8/5 - 7/18 = (?)
8/5 - 7/18 = [(8 x 18) - (7 x 5)]/(5 x 18)
= (144 - 35)/90
= 109/90
8/5 - 7/18 = 109/90
8/5 minus 7/18 as a fraction is 109/90.

where
8/5 is a improper fraction as a minuend,
7/18 is a proper fraction as a subtrahend,
109/90 is the difference between 8/5 and 7/18.

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8/5 minus 7/18 as a decimal
8/5 - 7/18 = 109/90
109/90 = 1.2111
(8/5) - (7/18) as a decimal is 1.2111

where
1.2111 is the difference between 8/5 and 7/18.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 7/18 from 8/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 8/5 minus 7/18.
1. LCM method
2. Cross multiplication method.

(8/5) - (7/18) using LCM Method:
What is 8/5 minus 7/18 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/5
Fraction B: 7/18

What to be found?
(8/5) - (7/18) = ?
Find what's the difference between 8/5 and 7/18.

step 2 Compare the denominators of fractions 8/5 and 7/18 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 8/5 and 7/18 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 8/5 and 7/18:
The LCM of 5 and 18 is 90.

step 4 Write the fractions 8/5 and 7/18 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 8/5 - 7/18
= [(8 x 90)/(5 x 90)] - [(7 x 90)/(18 x 90)]

step 5 Simplify the expression to have common denominator:
= 144/90 - 35/90

step 6 Take the common values out and rewrite the above expression like the below:
= 1/90 x (144/1 - 35/1)
= 1/90 x (144 - 35)

step 7Simplify the above expression further:
= 1/90 x 109
= 109/90
8/5 - 7/18 = 109/90

Hence,
8/5 minus 7/18 as a fraction is 109/90.

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8/5 - 7/18 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/5
Fraction B: 7/18

What to be found?
(8/5)-(7/18) = ?
Find what's the difference between 8/5 and 7/18.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 18), find the product of numerator of Fraction B and denominator of Fraction A (7 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 18) and rewrite the equation as like the below:
= (8 x 18) - (7 x 5)/(5 x 18)

step 3 Simplify and rewrite the fraction:
= (144 - 35)/90
8/5 - 7/18 = 109/90

Hence,
8/5 minus 7/18 in fraction is 109/90