What is 10/9 - 2 in fraction?
10/9 - 2 equals to -8/9 in fraction form.
Learn how to find what is 10/9 minus 2 in fraction form just in a few minutes. We have covered the easiest method to write 10/9 - 2 as a fraction and decimal.
Summary: 10/9 minus 2 = -8/9
Since both fractions have unequal denominators, 10/9 minus 2 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 10/9 and fraction 2 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 1. 9 is the LCM of 9 and 1. Multiplying the LCM 9 with the numerators and denominators of both fractions (10/9 x 9/9) - (2 x 9/9), and simplify further in order to have the common denominator. So the equivalent fraction for 10/9 is 10/9 and for 2 is 18/9. By simplifying this fraction subtraction 10/9 - 18/9, it becomes -8/9.
The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 2 from 10/9. use any one of the following methods to find the equivalent fraction for 10/9 minus 2.
1. LCM method
2. Cross multiplication method.
(10/9) - (2) using LCM Method:
What is 10/9 minus 2 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/9
Fraction B: 2/1
What to be found?
(10/9) - (2) = ?
Find what's the difference between 10/9 and 2.
step 2 Compare the denominators of fractions 10/9 and 2 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 10/9 and 2 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 10/9 and 2:
The LCM of 9 and 1 is 9.
step 4 Write the fractions 10/9 and 2 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 10/9 - 2
= [(10 x 9)/(9 x 9)] - [(2 x 9)/(1 x 9)]
step 5 Simplify the expression to have common denominator:
= 10/9 - 18/9
step 6 Take the common values out and rewrite the above expression like the below:
= 1/9 x (10/1 - 18/1)
= 1/9 x (10 - 18)
step 7Simplify the above expression further:
= 1/9 x -8
= -8/9
10/9 - 2 = -8/9
Hence,
10/9 minus 2 as a fraction is -8/9.
10/9 - 2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/9
Fraction B: 2/1
What to be found?
(10/9)-(2) = ?
Find what's the difference between 10/9 and 2.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (10 x 1), find the product of numerator of Fraction B and denominator of Fraction A (2 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 1) and rewrite the equation as like the below:
= (10 x 1) - (2 x 9)/(9 x 1)
step 3 Simplify and rewrite the fraction:
= (10 - 18)/9
10/9 - 2 = -8/9
Hence,
10/9 minus 2 in fraction is -8/9