Factor (7 5/9*1 11/18)-(5/8+7/8)^2

Math
(759⋅11118)-(58+78)2
Convert 759 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
(7+59)⋅11118-(58+78)2
Add 7 and 59.
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To write 7 as a fraction with a common denominator, multiply by 99.
(7⋅99+59)⋅11118-(58+78)2
Combine 7 and 99.
(7⋅99+59)⋅11118-(58+78)2
Combine the numerators over the common denominator.
7⋅9+59⋅11118-(58+78)2
Simplify the numerator.
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Multiply 7 by 9.
63+59⋅11118-(58+78)2
Add 63 and 5.
689⋅11118-(58+78)2
689⋅11118-(58+78)2
689⋅11118-(58+78)2
689⋅11118-(58+78)2
Convert 11118 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
689⋅(1+1118)-(58+78)2
Add 1 and 1118.
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Write 1 as a fraction with a common denominator.
689⋅(1818+1118)-(58+78)2
Combine the numerators over the common denominator.
689⋅18+1118-(58+78)2
Add 18 and 11.
689⋅2918-(58+78)2
689⋅2918-(58+78)2
689⋅2918-(58+78)2
Cancel the common factor of 2.
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Factor 2 out of 68.
2(34)9⋅2918-(58+78)2
Factor 2 out of 18.
2⋅349⋅292⋅9-(58+78)2
Cancel the common factor.
2⋅349⋅292⋅9-(58+78)2
Rewrite the expression.
349⋅299-(58+78)2
349⋅299-(58+78)2
Multiply 349 and 299.
34⋅299⋅9-(58+78)2
Multiply 34 by 29.
9869⋅9-(58+78)2
Multiply 9 by 9.
98681-(58+78)2
Combine the numerators over the common denominator.
98681-(5+78)2
Add 5 and 7.
98681-(128)2
Cancel the common factor of 12 and 8.
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Factor 4 out of 12.
98681-(4(3)8)2
Cancel the common factors.
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Factor 4 out of 8.
98681-(4⋅34⋅2)2
Cancel the common factor.
98681-(4⋅34⋅2)2
Rewrite the expression.
98681-(32)2
98681-(32)2
98681-(32)2
Apply the product rule to 32.
98681-3222
Raise 3 to the power of 2.
98681-922
Raise 2 to the power of 2.
98681-94
To write 98681 as a fraction with a common denominator, multiply by 44.
98681⋅44-94
To write -94 as a fraction with a common denominator, multiply by 8181.
98681⋅44-94⋅8181
Write each expression with a common denominator of 324, by multiplying each by an appropriate factor of 1.
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Multiply 98681 and 44.
986⋅481⋅4-94⋅8181
Multiply 81 by 4.
986⋅4324-94⋅8181
Multiply 94 and 8181.
986⋅4324-9⋅814⋅81
Multiply 4 by 81.
986⋅4324-9⋅81324
986⋅4324-9⋅81324
Combine the numerators over the common denominator.
986⋅4-9⋅81324
Simplify the numerator.
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Multiply 986 by 4.
3944-9⋅81324
Multiply -9 by 81.
3944-729324
Subtract 729 from 3944.
3215324
3215324
Factor (7 5/9*1 11/18)-(5/8+7/8)^2

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