10/9 - 7/2 as a fraction

Learn how to find what is 10/9 minus 7/2 in fraction form just in a few minutes. We have covered the easiest method to write 10/9 - 7/2 as a fraction and decimal.

Summary: 10/9 minus 7/2 = -43/18
Since both fractions have unequal denominators, 10/9 minus 7/2 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 10/9 and fraction 7/2 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 2. 18 is the LCM of 9 and 2. Multiplying the LCM 18 with the numerators and denominators of both fractions (10/9 x 18/18) - (7/2 x 18/18), and simplify further in order to have the common denominator. So the equivalent fraction for 10/9 is 20/18 and for 7/2 is 63/18. By simplifying this fraction subtraction 20/18 - 63/18, it becomes -43/18.

CALCULATION: 10/9 - 7/2 as a fraction
10/9 - 7/2 = (?)
10/9 - 7/2 = [(10 x 2) - (7 x 9)]/(9 x 2)
= (20 - 63)/18
= -43/18
10/9 - 7/2 = -43/18
10/9 minus 7/2 as a fraction is -43/18.

where
10/9 is a improper fraction as a minuend,
7/2 is a improper fraction as a subtrahend,
-43/18 is the difference between 10/9 and 7/2.

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10/9 minus 7/2 as a decimal
10/9 - 7/2 = -43/18
-43/18 = -2.3889
(10/9) - (7/2) as a decimal is -2.3889

where
-2.3889 is the difference between 10/9 and 7/2.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 7/2 from 10/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 10/9 minus 7/2.
1. LCM method
2. Cross multiplication method.

(10/9) - (7/2) using LCM Method:
What is 10/9 minus 7/2 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/9
Fraction B: 7/2

What to be found?
(10/9) - (7/2) = ?
Find what's the difference between 10/9 and 7/2.

step 2 Compare the denominators of fractions 10/9 and 7/2 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 10/9 and 7/2 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 7/2:
The LCM of 9 and 2 is 18.

step 4 Write the fractions 10/9 and 7/2 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 10/9 - 7/2
= [(10 x 18)/(9 x 18)] - [(7 x 18)/(2 x 18)]

step 5 Simplify the expression to have common denominator:
= 20/18 - 63/18

step 6 Take the common values out and rewrite the above expression like the below:
= 1/18 x (20/1 - 63/1)
= 1/18 x (20 - 63)

step 7Simplify the above expression further:
= 1/18 x -43
= -43/18
10/9 - 7/2 = -43/18

Hence,
10/9 minus 7/2 as a fraction is -43/18.

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10/9 - 7/2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/9
Fraction B: 7/2

What to be found?
(10/9)-(7/2) = ?
Find what's the difference between 10/9 and 7/2.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (10 x 2), find the product of numerator of Fraction B and denominator of Fraction A (7 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 2) and rewrite the equation as like the below:
= (10 x 2) - (7 x 9)/(9 x 2)

step 3 Simplify and rewrite the fraction:
= (20 - 63)/18
10/9 - 7/2 = -43/18

Hence,
10/9 minus 7/2 in fraction is -43/18