4/5 - 10/9 as a fraction

Learn how to find what is 4/5 minus 10/9 in fraction form just in a few minutes. We have covered the easiest method to write 4/5 - 10/9 as a fraction and decimal.

Summary: 4/5 minus 10/9 = -14/45
Since both fractions have unequal denominators, 4/5 minus 10/9 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 4/5 and fraction 10/9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 9. 45 is the LCM of 5 and 9. Multiplying the LCM 45 with the numerators and denominators of both fractions (4/5 x 45/45) - (10/9 x 45/45), and simplify further in order to have the common denominator. So the equivalent fraction for 4/5 is 36/45 and for 10/9 is 50/45. By simplifying this fraction subtraction 36/45 - 50/45, it becomes -14/45.

CALCULATION: 4/5 - 10/9 as a fraction
4/5 - 10/9 = (?)
4/5 - 10/9 = [(4 x 9) - (10 x 5)]/(5 x 9)
= (36 - 50)/45
= -14/45
4/5 - 10/9 = -14/45
4/5 minus 10/9 as a fraction is -14/45.

where
4/5 is a proper fraction as a minuend,
10/9 is a improper fraction as a subtrahend,
-14/45 is the difference between 4/5 and 10/9.

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4/5 minus 10/9 as a decimal
4/5 - 10/9 = -14/45
-14/45 = -0.3111
(4/5) - (10/9) as a decimal is -0.3111

where
-0.3111 is the difference between 4/5 and 10/9.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 10/9 from 4/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 4/5 minus 10/9.
1. LCM method
2. Cross multiplication method.

(4/5) - (10/9) using LCM Method:
What is 4/5 minus 10/9 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/5
Fraction B: 10/9

What to be found?
(4/5) - (10/9) = ?
Find what's the difference between 4/5 and 10/9.

step 2 Compare the denominators of fractions 4/5 and 10/9 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 4/5 and 10/9 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 4/5 and 10/9:
The LCM of 5 and 9 is 45.

step 4 Write the fractions 4/5 and 10/9 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 4/5 - 10/9
= [(4 x 45)/(5 x 45)] - [(10 x 45)/(9 x 45)]

step 5 Simplify the expression to have common denominator:
= 36/45 - 50/45

step 6 Take the common values out and rewrite the above expression like the below:
= 1/45 x (36/1 - 50/1)
= 1/45 x (36 - 50)

step 7Simplify the above expression further:
= 1/45 x -14
= -14/45
4/5 - 10/9 = -14/45

Hence,
4/5 minus 10/9 as a fraction is -14/45.

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4/5 - 10/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/5
Fraction B: 10/9

What to be found?
(4/5)-(10/9) = ?
Find what's the difference between 4/5 and 10/9.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (4 x 9), find the product of numerator of Fraction B and denominator of Fraction A (10 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 9) and rewrite the equation as like the below:
= (4 x 9) - (10 x 5)/(5 x 9)

step 3 Simplify and rewrite the fraction:
= (36 - 50)/45
4/5 - 10/9 = -14/45

Hence,
4/5 minus 10/9 in fraction is -14/45