3/5 - 5/11 as a fraction

Learn how to find what is 3/5 minus 5/11 in fraction form just in a few minutes. We have covered the easiest method to write 3/5 - 5/11 as a fraction and decimal.

Summary: 3/5 minus 5/11 = 8/55
Since both fractions have unequal denominators, 3/5 minus 5/11 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 3/5 and fraction 5/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 11. 55 is the LCM of 5 and 11. Multiplying the LCM 55 with the numerators and denominators of both fractions (3/5 x 55/55) - (5/11 x 55/55), and simplify further in order to have the common denominator. So the equivalent fraction for 3/5 is 33/55 and for 5/11 is 25/55. By simplifying this fraction subtraction 33/55 - 25/55, it becomes 8/55.

Pie Chart Representation: 3/5 - 5/11 = 8/55

CALCULATION: 3/5 - 5/11 as a fraction
3/5 - 5/11 = (?)
3/5 - 5/11 = [(3 x 11) - (5 x 5)]/(5 x 11)
= (33 - 25)/55
= 8/55
3/5 - 5/11 = 8/55
3/5 minus 5/11 as a fraction is 8/55.

where
3/5 is a proper fraction as a minuend,
5/11 is a proper fraction as a subtrahend,
8/55 is the difference between 3/5 and 5/11.

---

3/5 minus 5/11 as a decimal
3/5 - 5/11 = 8/55
8/55 = 0.1455
(3/5) - (5/11) as a decimal is 0.1455

where
0.1455 is the difference between 3/5 and 5/11.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/11 from 3/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 3/5 minus 5/11.
1. LCM method
2. Cross multiplication method.

(3/5) - (5/11) using LCM Method:
What is 3/5 minus 5/11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 5/11

What to be found?
(3/5) - (5/11) = ?
Find what's the difference between 3/5 and 5/11.

step 2 Compare the denominators of fractions 3/5 and 5/11 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/5 and 5/11 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 3/5 and 5/11:
The LCM of 5 and 11 is 55.

step 4 Write the fractions 3/5 and 5/11 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/5 - 5/11
= [(3 x 55)/(5 x 55)] - [(5 x 55)/(11 x 55)]

step 5 Simplify the expression to have common denominator:
= 33/55 - 25/55

step 6 Take the common values out and rewrite the above expression like the below:
= 1/55 x (33/1 - 25/1)
= 1/55 x (33 - 25)

step 7Simplify the above expression further:
= 1/55 x 8
= 8/55
3/5 - 5/11 = 8/55

Hence,
3/5 minus 5/11 as a fraction is 8/55.

---

3/5 - 5/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 5/11

What to be found?
(3/5)-(5/11) = ?
Find what's the difference between 3/5 and 5/11.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 11), find the product of numerator of Fraction B and denominator of Fraction A (5 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 11) and rewrite the equation as like the below:
= (3 x 11) - (5 x 5)/(5 x 11)

step 3 Simplify and rewrite the fraction:
= (33 - 25)/55
3/5 - 5/11 = 8/55

Hence,
3/5 minus 5/11 in fraction is 8/55