# Evaluate (1/3-2/5*15/8+7/12)/(1/5-7/2)

13-25⋅158+71215-72
Multiply the numerator and denominator of the complex fraction by 60.
Multiply 13-25⋅158+71215-72 by 6060.
6060⋅13-25⋅158+71215-72
Combine.
60(13-25⋅158+712)60(15-72)
60(13-25⋅158+712)60(15-72)
Apply the distributive property.
60(13)+60(-25⋅158)+60(712)60(15)+60(-72)
Simplify by cancelling.
Cancel the common factor of 3.
Factor 3 out of 60.
3(20)13+60(-25⋅158)+60(712)60(15)+60(-72)
Cancel the common factor.
3⋅2013+60(-25⋅158)+60(712)60(15)+60(-72)
Rewrite the expression.
20+60(-25⋅158)+60(712)60(15)+60(-72)
20+60(-25⋅158)+60(712)60(15)+60(-72)
Cancel the common factor of 12.
Factor 12 out of 60.
20+60(-25⋅158)+12(5)71260(15)+60(-72)
Cancel the common factor.
20+60(-25⋅158)+12⋅571260(15)+60(-72)
Rewrite the expression.
20+60(-25⋅158)+5⋅760(15)+60(-72)
20+60(-25⋅158)+5⋅760(15)+60(-72)
Multiply 5 by 7.
20+60(-25⋅158)+3560(15)+60(-72)
Cancel the common factor of 5.
Factor 5 out of 60.
20+60(-25⋅158)+355(12)15+60(-72)
Cancel the common factor.
20+60(-25⋅158)+355⋅1215+60(-72)
Rewrite the expression.
20+60(-25⋅158)+3512+60(-72)
20+60(-25⋅158)+3512+60(-72)
Cancel the common factor of 2.
Move the leading negative in -72 into the numerator.
20+60(-25⋅158)+3512+60(-72)
Factor 2 out of 60.
20+60(-25⋅158)+3512+2(30)-72
Cancel the common factor.
20+60(-25⋅158)+3512+2⋅30-72
Rewrite the expression.
20+60(-25⋅158)+3512+30⋅-7
20+60(-25⋅158)+3512+30⋅-7
Multiply 30 by -7.
20+60(-25⋅158)+3512-210
20+60(-25⋅158)+3512-210
Simplify the numerator.
Cancel the common factor of 2.
Move the leading negative in -25 into the numerator.
20+60(-25⋅158)+3512-210
Factor 2 out of -2.
20+60(2(-1)5⋅158)+3512-210
Factor 2 out of 8.
20+60(2⋅-15⋅152⋅4)+3512-210
Cancel the common factor.
20+60(2⋅-15⋅152⋅4)+3512-210
Rewrite the expression.
20+60(-15⋅154)+3512-210
20+60(-15⋅154)+3512-210
Cancel the common factor of 5.
Factor 5 out of 15.
20+60(-15⋅5(3)4)+3512-210
Cancel the common factor.
20+60(-15⋅5⋅34)+3512-210
Rewrite the expression.
20+60(-1⋅34)+3512-210
20+60(-1⋅34)+3512-210
Rewrite -1(34) as -(34).
20+60(-(34))+3512-210
Cancel the common factor of 4.
Move the leading negative in -(34) into the numerator.
20+60(-34)+3512-210
Factor 4 out of 60.
20+4(15)-34+3512-210
Cancel the common factor.
20+4⋅15-34+3512-210
Rewrite the expression.
20+15⋅-3+3512-210
20+15⋅-3+3512-210
Multiply 15 by -3.
20-45+3512-210
Subtract 45 from 20.
-25+3512-210
1012-210
1012-210
Reduce the expression by cancelling the common factors.
Subtract 210 from 12.
10-198
Cancel the common factor of 10 and -198.
Factor 2 out of 10.
2(5)-198
Cancel the common factors.
Factor 2 out of -198.
2⋅52⋅-99
Cancel the common factor.
2⋅52⋅-99
Rewrite the expression.
5-99
5-99
5-99
Move the negative in front of the fraction.
-599
-599
The result can be shown in multiple forms.
Exact Form:
-599
Decimal Form:
-0.05‾
Evaluate (1/3-2/5*15/8+7/12)/(1/5-7/2)

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