# Multiply ((7/12)÷(21/5))-(7/12*21/5)

(712÷215)-(712⋅215)
Simplify each term.
To divide by a fraction, multiply by its reciprocal.
712⋅521-(712⋅215)
Cancel the common factor of 7.
Factor 7 out of 21.
712⋅57(3)-(712⋅215)
Cancel the common factor.
712⋅57⋅3-(712⋅215)
Rewrite the expression.
112⋅53-(712⋅215)
112⋅53-(712⋅215)
Multiply 112 and 53.
512⋅3-(712⋅215)
Multiply 12 by 3.
536-(712⋅215)
Cancel the common factor of 3.
Factor 3 out of 12.
536-(73(4)⋅215)
Factor 3 out of 21.
536-(73⋅4⋅3⋅75)
Cancel the common factor.
536-(73⋅4⋅3⋅75)
Rewrite the expression.
536-(74⋅75)
536-(74⋅75)
Multiply 74 and 75.
536-7⋅74⋅5
Multiply 7 by 7.
536-494⋅5
Multiply 4 by 5.
536-4920
536-4920
To write 536 as a fraction with a common denominator, multiply by 55.
536⋅55-4920
To write -4920 as a fraction with a common denominator, multiply by 99.
536⋅55-4920⋅99
Write each expression with a common denominator of 180, by multiplying each by an appropriate factor of 1.
Multiply 536 and 55.
5⋅536⋅5-4920⋅99
Multiply 36 by 5.
5⋅5180-4920⋅99
Multiply 4920 and 99.
5⋅5180-49⋅920⋅9
Multiply 20 by 9.
5⋅5180-49⋅9180
5⋅5180-49⋅9180
Combine the numerators over the common denominator.
5⋅5-49⋅9180
Simplify the numerator.
Multiply 5 by 5.
25-49⋅9180
Multiply -49 by 9.
25-441180
Subtract 441 from 25.
-416180
-416180
Cancel the common factor of -416 and 180.
Factor 4 out of -416.
4(-104)180
Cancel the common factors.
Factor 4 out of 180.
4⋅-1044⋅45
Cancel the common factor.
4⋅-1044⋅45
Rewrite the expression.
-10445
-10445
-10445
Move the negative in front of the fraction.
-10445
The result can be shown in multiple forms.
Exact Form:
-10445
Decimal Form:
-2.31‾
Mixed Number Form:
-21445
Multiply ((7/12)÷(21/5))-(7/12*21/5)

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