# Evaluate 1/4*(2/3)^2-4 2/3+8

14⋅(23)2-423+8
Convert 423 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
14⋅(23)2-(4+23)+8
To write 4 as a fraction with a common denominator, multiply by 33.
14⋅(23)2-(4⋅33+23)+8
Combine 4 and 33.
14⋅(23)2-(4⋅33+23)+8
Combine the numerators over the common denominator.
14⋅(23)2-4⋅3+23+8
Simplify the numerator.
Multiply 4 by 3.
14⋅(23)2-12+23+8
14⋅(23)2-143+8
14⋅(23)2-143+8
14⋅(23)2-143+8
14⋅(23)2-143+8
Simplify each term.
Apply the product rule to 23.
14⋅2232-143+8
Raise 2 to the power of 2.
14⋅432-143+8
Raise 3 to the power of 2.
14⋅49-143+8
Cancel the common factor of 4.
Cancel the common factor.
14⋅49-143+8
Rewrite the expression.
19-143+8
19-143+8
19-143+8
To write -143 as a fraction with a common denominator, multiply by 33.
19-143⋅33+8
Write each expression with a common denominator of 9, by multiplying each by an appropriate factor of 1.
Multiply 143 and 33.
19-14⋅33⋅3+8
Multiply 3 by 3.
19-14⋅39+8
19-14⋅39+8
Combine the numerators over the common denominator.
1-14⋅39+8
Simplify the numerator.
Multiply -14 by 3.
1-429+8
Subtract 42 from 1.
-419+8
-419+8
Move the negative in front of the fraction.
-419+8
To write 8 as a fraction with a common denominator, multiply by 99.
-419+8⋅99
Combine 8 and 99.
-419+8⋅99
Combine the numerators over the common denominator.
-41+8⋅99
Simplify the numerator.
Multiply 8 by 9.
-41+729
319
319
The result can be shown in multiple forms.
Exact Form:
319
Decimal Form:
3.4‾
Mixed Number Form:
349
Evaluate 1/4*(2/3)^2-4 2/3+8

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