Evaluate (2/5-1/6)+1÷(-4/5)

Math
(25-16)+1÷(-45)
Simplify each term.
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To divide by a fraction, multiply by its reciprocal.
25-16+1(-54)
Multiply -54 by 1.
25-16-54
25-16-54
To write 25 as a fraction with a common denominator, multiply by 66.
25⋅66-16-54
To write -16 as a fraction with a common denominator, multiply by 55.
25⋅66-16⋅55-54
Write each expression with a common denominator of 30, by multiplying each by an appropriate factor of 1.
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Multiply 25 and 66.
2⋅65⋅6-16⋅55-54
Multiply 5 by 6.
2⋅630-16⋅55-54
Multiply 16 and 55.
2⋅630-56⋅5-54
Multiply 6 by 5.
2⋅630-530-54
2⋅630-530-54
Combine the numerators over the common denominator.
2⋅6-530-54
Simplify the numerator.
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Multiply 2 by 6.
12-530-54
Subtract 5 from 12.
730-54
730-54
To write 730 as a fraction with a common denominator, multiply by 22.
730⋅22-54
To write -54 as a fraction with a common denominator, multiply by 1515.
730⋅22-54⋅1515
Write each expression with a common denominator of 60, by multiplying each by an appropriate factor of 1.
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Multiply 730 and 22.
7⋅230⋅2-54⋅1515
Multiply 30 by 2.
7⋅260-54⋅1515
Multiply 54 and 1515.
7⋅260-5⋅154⋅15
Multiply 4 by 15.
7⋅260-5⋅1560
7⋅260-5⋅1560
Combine the numerators over the common denominator.
7⋅2-5⋅1560
Simplify the numerator.
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Multiply 7 by 2.
14-5⋅1560
Multiply -5 by 15.
14-7560
Subtract 75 from 14.
-6160
-6160
Move the negative in front of the fraction.
-6160
The result can be shown in multiple forms.
Exact Form:
-6160
Decimal Form:
-1.016‾
Mixed Number Form:
-1160
Evaluate (2/5-1/6)+1÷(-4/5)

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