Evaluate ((7/9)^2)/(7/90)-649/90

Math
(79)2790-64990
Simplify each term.
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Multiply the numerator by the reciprocal of the denominator.
(79)2907-64990
Apply the product rule to 79.
7292⋅907-64990
Raise 7 to the power of 2.
4992⋅907-64990
Raise 9 to the power of 2.
4981⋅907-64990
Cancel the common factor of 7.
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Factor 7 out of 49.
7(7)81⋅907-64990
Cancel the common factor.
7⋅781⋅907-64990
Rewrite the expression.
781⋅90-64990
781⋅90-64990
Cancel the common factor of 9.
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Factor 9 out of 81.
79(9)⋅90-64990
Factor 9 out of 90.
79⋅9⋅(9⋅10)-64990
Cancel the common factor.
79⋅9⋅(9⋅10)-64990
Rewrite the expression.
79⋅10-64990
79⋅10-64990
Combine 79 and 10.
7⋅109-64990
Multiply 7 by 10.
709-64990
709-64990
To write 709 as a fraction with a common denominator, multiply by 1010.
709⋅1010-64990
Write each expression with a common denominator of 90, by multiplying each by an appropriate factor of 1.
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Multiply 709 and 1010.
70⋅109⋅10-64990
Multiply 9 by 10.
70⋅1090-64990
70⋅1090-64990
Combine the numerators over the common denominator.
70⋅10-64990
Simplify the numerator.
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Multiply 70 by 10.
700-64990
Subtract 649 from 700.
5190
5190
Cancel the common factor of 51 and 90.
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Factor 3 out of 51.
3(17)90
Cancel the common factors.
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Factor 3 out of 90.
3⋅173⋅30
Cancel the common factor.
3⋅173⋅30
Rewrite the expression.
1730
1730
1730
The result can be shown in multiple forms.
Exact Form:
1730
Decimal Form:
0.56‾
Evaluate ((7/9)^2)/(7/90)-649/90

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