# Rewrite in Standard Form (7/9-2/3)÷(-1 5/6)

(79-23)÷(-156)
To write a polynomial in standard form, simplify and then arrange the terms in descending order.
ax2+bx+c
Convert 156 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
79-23-(1+56)
Write 1 as a fraction with a common denominator.
79-23-(66+56)
Combine the numerators over the common denominator.
79-23-6+56
79-23-116
79-23-116
79-23-116
Multiply the numerator by the reciprocal of the denominator.
(79-23)(-611)
To write -23 as a fraction with a common denominator, multiply by 33.
(79-23⋅33)(-611)
Write each expression with a common denominator of 9, by multiplying each by an appropriate factor of 1.
Multiply 23 and 33.
(79-2⋅33⋅3)(-611)
Multiply 3 by 3.
(79-2⋅39)(-611)
(79-2⋅39)(-611)
Combine the numerators over the common denominator.
7-2⋅39(-611)
Simplify the numerator.
Multiply -2 by 3.
7-69(-611)
Subtract 6 from 7.
19(-611)
19(-611)
Cancel the common factor of 3.
Move the leading negative in -611 into the numerator.
19⋅-611
Factor 3 out of 9.
13(3)⋅-611
Factor 3 out of -6.
13⋅3⋅3⋅-211
Cancel the common factor.
13⋅3⋅3⋅-211
Rewrite the expression.
13⋅-211
13⋅-211
Multiply 13 and -211.
-23⋅11
Simplify the expression.
Multiply 3 by 11.
-233
Move the negative in front of the fraction.
-233
-233
Rewrite in Standard Form (7/9-2/3)÷(-1 5/6)

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