# Evaluate (36/5-33/8)÷(5/4)

(365-338)÷54
To divide by a fraction, multiply by its reciprocal.
(365-338)45
To write 365 as a fraction with a common denominator, multiply by 88.
(365⋅88-338)45
To write -338 as a fraction with a common denominator, multiply by 55.
(365⋅88-338⋅55)45
Write each expression with a common denominator of 40, by multiplying each by an appropriate factor of 1.
Multiply 365 and 88.
(36⋅85⋅8-338⋅55)45
Multiply 5 by 8.
(36⋅840-338⋅55)45
Multiply 338 and 55.
(36⋅840-33⋅58⋅5)45
Multiply 8 by 5.
(36⋅840-33⋅540)45
(36⋅840-33⋅540)45
Combine the numerators over the common denominator.
36⋅8-33⋅540⋅45
Simplify the numerator.
Multiply 36 by 8.
288-33⋅540⋅45
Multiply -33 by 5.
288-16540⋅45
Subtract 165 from 288.
12340⋅45
12340⋅45
Cancel the common factor of 4.
Factor 4 out of 40.
1234(10)⋅45
Cancel the common factor.
1234⋅10⋅45
Rewrite the expression.
12310⋅15
12310⋅15
Multiply 12310 and 15.
12310⋅5
Multiply 10 by 5.
12350
The result can be shown in multiple forms.
Exact Form:
12350
Decimal Form:
2.46
Mixed Number Form:
22350
Evaluate (36/5-33/8)÷(5/4)

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