2/3 - 11/17 as a fraction

Learn how to find what is 2/3 minus 11/17 in fraction form just in a few minutes. We have covered the easiest method to write 2/3 - 11/17 as a fraction and decimal.

Summary: 2/3 minus 11/17 = 1/51
Since both fractions have unequal denominators, 2/3 minus 11/17 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/3 and fraction 11/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 17. 51 is the LCM of 3 and 17. Multiplying the LCM 51 with the numerators and denominators of both fractions (2/3 x 51/51) - (11/17 x 51/51), and simplify further in order to have the common denominator. So the equivalent fraction for 2/3 is 34/51 and for 11/17 is 33/51. By simplifying this fraction subtraction 34/51 - 33/51, it becomes 1/51.

Pie Chart Representation: 2/3 - 11/17 = 1/51

CALCULATION: 2/3 - 11/17 as a fraction
2/3 - 11/17 = (?)
2/3 - 11/17 = [(2 x 17) - (11 x 3)]/(3 x 17)
= (34 - 33)/51
= 1/51
2/3 - 11/17 = 1/51
2/3 minus 11/17 as a fraction is 1/51.

where
2/3 is a proper fraction as a minuend,
11/17 is a proper fraction as a subtrahend,
1/51 is the difference between 2/3 and 11/17.

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2/3 minus 11/17 as a decimal
2/3 - 11/17 = 1/51
1/51 = 0.0196
(2/3) - (11/17) as a decimal is 0.0196

where
0.0196 is the difference between 2/3 and 11/17.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 11/17 from 2/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 2/3 minus 11/17.
1. LCM method
2. Cross multiplication method.

(2/3) - (11/17) using LCM Method:
What is 2/3 minus 11/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 11/17

What to be found?
(2/3) - (11/17) = ?
Find what's the difference between 2/3 and 11/17.

step 2 Compare the denominators of fractions 2/3 and 11/17 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/3 and 11/17 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 2/3 and 11/17:
The LCM of 3 and 17 is 51.

step 4 Write the fractions 2/3 and 11/17 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/3 - 11/17
= [(2 x 51)/(3 x 51)] - [(11 x 51)/(17 x 51)]

step 5 Simplify the expression to have common denominator:
= 34/51 - 33/51

step 6 Take the common values out and rewrite the above expression like the below:
= 1/51 x (34/1 - 33/1)
= 1/51 x (34 - 33)

step 7Simplify the above expression further:
= 1/51 x 1
= 1/51
2/3 - 11/17 = 1/51

Hence,
2/3 minus 11/17 as a fraction is 1/51.

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2/3 - 11/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 11/17

What to be found?
(2/3)-(11/17) = ?
Find what's the difference between 2/3 and 11/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 17), find the product of numerator of Fraction B and denominator of Fraction A (11 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 17) and rewrite the equation as like the below:
= (2 x 17) - (11 x 3)/(3 x 17)

step 3 Simplify and rewrite the fraction:
= (34 - 33)/51
2/3 - 11/17 = 1/51

Hence,
2/3 minus 11/17 in fraction is 1/51