# Evaluate (25/12)÷(1/3-7/6)

2512÷(13-76)
Rewrite the division as a fraction.
251213-76
Multiply the numerator by the reciprocal of the denominator.
2512⋅113-76
Simplify the denominator.
To write 13 as a fraction with a common denominator, multiply by 22.
2512⋅113⋅22-76
Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.
Multiply 13 and 22.
2512⋅123⋅2-76
Multiply 3 by 2.
2512⋅126-76
2512⋅126-76
Combine the numerators over the common denominator.
2512⋅12-76
Subtract 7 from 2.
2512⋅1-56
Move the negative in front of the fraction.
2512⋅1-56
2512⋅1-56
Cancel the common factor of 1 and -1.
Rewrite 1 as -1(-1).
2512⋅-1(-1)-56
Move the negative in front of the fraction.
2512(-156)
2512(-156)
Multiply the numerator by the reciprocal of the denominator.
2512(-(1(65)))
Multiply 65 by 1.
2512(-65)
Cancel the common factor of 5.
Move the leading negative in -65 into the numerator.
2512⋅-65
Factor 5 out of 25.
5(5)12⋅-65
Cancel the common factor.
5⋅512⋅-65
Rewrite the expression.
512⋅-6
512⋅-6
Cancel the common factor of 6.
Factor 6 out of 12.
56(2)⋅-6
Factor 6 out of -6.
56⋅2⋅(6⋅-1)
Cancel the common factor.
56⋅2⋅(6⋅-1)
Rewrite the expression.
52⋅-1
52⋅-1
Combine 52 and -1.
5⋅-12
Simplify the expression.
Multiply 5 by -1.
-52
Move the negative in front of the fraction.
-52
-52
The result can be shown in multiple forms.
Exact Form:
-52
Decimal Form:
-2.5
Mixed Number Form:
-212
Evaluate (25/12)÷(1/3-7/6)