# Evaluate (((4/5)/(3/5))((1/8)/(2/3)))/(3/4)

(4535)(1823)34
Multiply the numerator by the reciprocal of the denominator.
4535⋅182343
Multiply the numerator by the reciprocal of the denominator.
45⋅53182343
Cancel the common factor of 5.
Cancel the common factor.
45⋅53182343
Rewrite the expression.
4(13)182343
4(13)182343
Combine 4 and 13.
43⋅182343
Multiply the numerator by the reciprocal of the denominator.
43(18⋅32)43
Multiply 18⋅32.
Multiply 18 and 32.
43⋅38⋅243
Multiply 8 by 2.
43⋅31643
43⋅31643
Cancel the common factor of 4.
Factor 4 out of 16.
43⋅34(4)43
Cancel the common factor.
43⋅34⋅443
Rewrite the expression.
13⋅3443
13⋅3443
Cancel the common factor of 3.
Cancel the common factor.
13⋅3443
Rewrite the expression.
14⋅43
14⋅43
Cancel the common factor of 4.
Cancel the common factor.
14⋅43
Rewrite the expression.
13
13
The result can be shown in multiple forms.
Exact Form:
13
Decimal Form:
0.3‾
Evaluate (((4/5)/(3/5))((1/8)/(2/3)))/(3/4)

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