# Evaluate (2/3)^2-1/3*1 1/4 (23)2-13⋅114
Convert 114 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
(23)2-13⋅(1+14)
Write 1 as a fraction with a common denominator.
(23)2-13⋅(44+14)
Combine the numerators over the common denominator.
(23)2-13⋅4+14
(23)2-13⋅54
(23)2-13⋅54
(23)2-13⋅54
Simplify each term.
Apply the product rule to 23.
2232-13⋅54
Raise 2 to the power of 2.
432-13⋅54
Raise 3 to the power of 2.
49-13⋅54
Multiply -13⋅54.
Multiply 54 and 13.
49-54⋅3
Multiply 4 by 3.
49-512
49-512
49-512
To write 49 as a fraction with a common denominator, multiply by 44.
49⋅44-512
To write -512 as a fraction with a common denominator, multiply by 33.
49⋅44-512⋅33
Write each expression with a common denominator of 36, by multiplying each by an appropriate factor of 1.
Multiply 49 and 44.
4⋅49⋅4-512⋅33
Multiply 9 by 4.
4⋅436-512⋅33
Multiply 512 and 33.
4⋅436-5⋅312⋅3
Multiply 12 by 3.
4⋅436-5⋅336
4⋅436-5⋅336
Combine the numerators over the common denominator.
4⋅4-5⋅336
Simplify the numerator.
Multiply 4 by 4.
16-5⋅336
Multiply -5 by 3.
16-1536
Subtract 15 from 16.
136
136
The result can be shown in multiple forms.
Exact Form:
136
Decimal Form:
0.027‾
Evaluate (2/3)^2-1/3*1 1/4

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