1/3 - 2/23 as a fraction

Learn how to find what is 1/3 minus 2/23 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 - 2/23 as a fraction and decimal.

Summary: 1/3 minus 2/23 = 17/69
Since both fractions have unequal denominators, 1/3 minus 2/23 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/3 and fraction 2/23 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 23. 69 is the LCM of 3 and 23. Multiplying the LCM 69 with the numerators and denominators of both fractions (1/3 x 69/69) - (2/23 x 69/69), and simplify further in order to have the common denominator. So the equivalent fraction for 1/3 is 23/69 and for 2/23 is 6/69. By simplifying this fraction subtraction 23/69 - 6/69, it becomes 17/69.

Pie Chart Representation: 1/3 - 2/23 = 17/69

CALCULATION: 1/3 - 2/23 as a fraction
1/3 - 2/23 = (?)
1/3 - 2/23 = [(1 x 23) - (2 x 3)]/(3 x 23)
= (23 - 6)/69
= 17/69
1/3 - 2/23 = 17/69
1/3 minus 2/23 as a fraction is 17/69.

where
1/3 is a proper fraction as a minuend,
2/23 is a proper fraction as a subtrahend,
17/69 is the difference between 1/3 and 2/23.

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1/3 minus 2/23 as a decimal
1/3 - 2/23 = 17/69
17/69 = 0.2464
(1/3) - (2/23) as a decimal is 0.2464

where
0.2464 is the difference between 1/3 and 2/23.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/23 from 1/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/3 minus 2/23.
1. LCM method
2. Cross multiplication method.

(1/3) - (2/23) using LCM Method:
What is 1/3 minus 2/23 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/23

What to be found?
(1/3) - (2/23) = ?
Find what's the difference between 1/3 and 2/23.

step 2 Compare the denominators of fractions 1/3 and 2/23 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/3 and 2/23 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 1/3 and 2/23:
The LCM of 3 and 23 is 69.

step 4 Write the fractions 1/3 and 2/23 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/3 - 2/23
= [(1 x 69)/(3 x 69)] - [(2 x 69)/(23 x 69)]

step 5 Simplify the expression to have common denominator:
= 23/69 - 6/69

step 6 Take the common values out and rewrite the above expression like the below:
= 1/69 x (23/1 - 6/1)
= 1/69 x (23 - 6)

step 7Simplify the above expression further:
= 1/69 x 17
= 17/69
1/3 - 2/23 = 17/69

Hence,
1/3 minus 2/23 as a fraction is 17/69.

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1/3 - 2/23 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/23

What to be found?
(1/3)-(2/23) = ?
Find what's the difference between 1/3 and 2/23.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 23), find the product of numerator of Fraction B and denominator of Fraction A (2 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 23) and rewrite the equation as like the below:
= (1 x 23) - (2 x 3)/(3 x 23)

step 3 Simplify and rewrite the fraction:
= (23 - 6)/69
1/3 - 2/23 = 17/69

Hence,
1/3 minus 2/23 in fraction is 17/69