10/9 - 7/3 as a fraction

Learn how to find what is 10/9 minus 7/3 in fraction form just in a few minutes. We have covered the easiest method to write 10/9 - 7/3 as a fraction and decimal.

Summary: 10/9 minus 7/3 = -11/9
Since both fractions have unequal denominators, 10/9 minus 7/3 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 10/9 and fraction 7/3 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 3. 9 is the LCM of 9 and 3. Multiplying the LCM 9 with the numerators and denominators of both fractions (10/9 x 9/9) - (7/3 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 7/3 is 21/9. By simplifying this fraction subtraction 10/9 - 21/9, it becomes -11/9.

CALCULATION: 10/9 - 7/3 as a fraction
10/9 - 7/3 = (?)
10/9 - 7/3 = [(10 x 3) - (7 x 9)]/(9 x 3)
= (30 - 63)/27
= -33/27
= (3 x -11)/(3 x 9)
= -11/9
10/9 - 7/3 = -11/9
10/9 minus 7/3 as a fraction is -11/9.

where
10/9 is a improper fraction as a minuend,
7/3 is a improper fraction as a subtrahend,
-11/9 is the difference between 10/9 and 7/3.

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10/9 minus 7/3 as a decimal
10/9 - 7/3 = -11/9
-11/9 = -1.2222
(10/9) - (7/3) as a decimal is -1.2222

where
-1.2222 is the difference between 10/9 and 7/3.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 7/3 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 7/3.
1. LCM method
2. Cross multiplication method.

(10/9) - (7/3) using LCM Method:
What is 10/9 minus 7/3 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/9
Fraction B: 7/3

What to be found?
(10/9) - (7/3) = ?
Find what's the difference between 10/9 and 7/3.

step 2 Compare the denominators of fractions 10/9 and 7/3 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 10/9 and 7/3 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 7/3:
The LCM of 9 and 3 is 9.

step 4 Write the fractions 10/9 and 7/3 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 10/9 - 7/3
= [(10 x 9)/(9 x 9)] - [(7 x 9)/(3 x 9)]

step 5 Simplify the expression to have common denominator:
= 10/9 - 21/9

step 6 Take the common values out and rewrite the above expression like the below:
= 1/9 x (10/1 - 21/1)
= 1/9 x (10 - 21)

step 7Simplify the above expression further:
= 1/9 x -11
= -11/9
10/9 - 7/3 = -11/9

Hence,
10/9 minus 7/3 as a fraction is -11/9.

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10/9 - 7/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/9
Fraction B: 7/3

What to be found?
(10/9)-(7/3) = ?
Find what's the difference between 10/9 and 7/3.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (10 x 3), 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 3) and rewrite the equation as like the below:
= (10 x 3) - (7 x 9)/(9 x 3)

step 3 Simplify and rewrite the fraction:
= (30 - 63)/27
= -33/27
= -11/9
10/9 - 7/3 = -11/9

Hence,
10/9 minus 7/3 in fraction is -11/9