10 - 13/18 as a fraction

Learn how to find what is 10 minus 13/18 in fraction form just in a few minutes. We have covered the easiest method to write 10 - 13/18 as a fraction and decimal.

Summary: 10 minus 13/18 = 167/18
Since both fractions have unequal denominators, 10 minus 13/18 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 10 and fraction 13/18 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 18. 18 is the LCM of 1 and 18. Multiplying the LCM 18 with the numerators and denominators of both fractions (10 x 18/18) - (13/18 x 18/18), and simplify further in order to have the common denominator. So the equivalent fraction for 10 is 180/18 and for 13/18 is 13/18. By simplifying this fraction subtraction 180/18 - 13/18, it becomes 167/18.

CALCULATION: 10 - 13/18 as a fraction
10 - 13/18 = (?)
10/1 - 13/18 = [(10 x 18) - (13 x 1)]/(1 x 18)
= (180 - 13)/18
= 167/18
10 - 13/18 = 167/18
10 minus 13/18 as a fraction is 167/18.

where
10 is a whole number as a minuend,
13/18 is a proper fraction as a subtrahend,
167/18 is the difference between 10 and 13/18.

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10 minus 13/18 as a decimal
10 - 13/18 = 167/18
167/18 = 9.2778
(10) - (13/18) as a decimal is 9.2778

where
9.2778 is the difference between 10 and 13/18.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 13/18 from 10. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 10 minus 13/18.
1. LCM method
2. Cross multiplication method.

(10) - (13/18) using LCM Method:
What is 10 minus 13/18 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/1
Fraction B: 13/18

What to be found?
(10) - (13/18) = ?
Find what's the difference between 10 and 13/18.

step 2 Compare the denominators of fractions 10 and 13/18 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 10 and 13/18 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 10 and 13/18:
The LCM of 1 and 18 is 18.

step 4 Write the fractions 10 and 13/18 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 10 - 13/18
= [(10 x 18)/(1 x 18)] - [(13 x 18)/(18 x 18)]

step 5 Simplify the expression to have common denominator:
= 180/18 - 13/18

step 6 Take the common values out and rewrite the above expression like the below:
= 1/18 x (180/1 - 13/1)
= 1/18 x (180 - 13)

step 7Simplify the above expression further:
= 1/18 x 167
= 167/18
10 - 13/18 = 167/18

Hence,
10 minus 13/18 as a fraction is 167/18.

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10 - 13/18 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/1
Fraction B: 13/18

What to be found?
(10)-(13/18) = ?
Find what's the difference between 10 and 13/18.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (10 x 18), find the product of numerator of Fraction B and denominator of Fraction A (13 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 18) and rewrite the equation as like the below:
= (10 x 18) - (13 x 1)/(1 x 18)

step 3 Simplify and rewrite the fraction:
= (180 - 13)/18
10 - 13/18 = 167/18

Hence,
10 minus 13/18 in fraction is 167/18