Factor 12*(0.5*(-1 5/16))-35*(0.4*(-1 5/16)+2/7)

Math
12⋅(0.5⋅(-1516))-35⋅(0.4⋅(-1516)+27)
Convert 1516 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
12⋅(0.5⋅(-(1+516)))-35⋅(0.4⋅(-1516)+27)
Add 1 and 516.
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Write 1 as a fraction with a common denominator.
12⋅(0.5⋅(-(1616+516)))-35⋅(0.4⋅(-1516)+27)
Combine the numerators over the common denominator.
12⋅(0.5⋅(-16+516))-35⋅(0.4⋅(-1516)+27)
Add 16 and 5.
12⋅(0.5⋅(-2116))-35⋅(0.4⋅(-1516)+27)
12⋅(0.5⋅(-2116))-35⋅(0.4⋅(-1516)+27)
12⋅(0.5⋅(-2116))-35⋅(0.4⋅(-1516)+27)
Cancel the common factor of 16.
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Move the leading negative in -2116 into the numerator.
12⋅(0.5⋅-2116)-35⋅(0.4⋅(-1516)+27)
Factor 16 out of 0.5.
12⋅(16(0.03125)⋅-2116)-35⋅(0.4⋅(-1516)+27)
Cancel the common factor.
12⋅(16⋅0.03125⋅-2116)-35⋅(0.4⋅(-1516)+27)
Rewrite the expression.
12⋅(0.03125⋅-21)-35⋅(0.4⋅(-1516)+27)
12⋅(0.03125⋅-21)-35⋅(0.4⋅(-1516)+27)
Multiply 0.03125 by -21.
12⋅-0.65625-35⋅(0.4⋅(-1516)+27)
Multiply 12 by -0.65625.
-7.875-35⋅(0.4⋅(-1516)+27)
Simplify each term.
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Convert 1516 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
-7.875-35⋅(0.4⋅(-(1+516))+27)
Add 1 and 516.
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Write 1 as a fraction with a common denominator.
-7.875-35⋅(0.4⋅(-(1616+516))+27)
Combine the numerators over the common denominator.
-7.875-35⋅(0.4⋅(-16+516)+27)
Add 16 and 5.
-7.875-35⋅(0.4⋅(-2116)+27)
-7.875-35⋅(0.4⋅(-2116)+27)
-7.875-35⋅(0.4⋅(-2116)+27)
Cancel the common factor of 16.
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Move the leading negative in -2116 into the numerator.
-7.875-35⋅(0.4⋅-2116+27)
Factor 16 out of 0.4.
-7.875-35⋅(16(0.025)⋅-2116+27)
Cancel the common factor.
-7.875-35⋅(16⋅0.025⋅-2116+27)
Rewrite the expression.
-7.875-35⋅(0.025⋅-21+27)
-7.875-35⋅(0.025⋅-21+27)
Multiply 0.025 by -21.
-7.875-35⋅(-0.525+27)
-7.875-35⋅(-0.525+27)
To write -0.525 as a fraction with a common denominator, multiply by 77.
-7.875-35⋅(-0.525⋅77+27)
Combine -0.525 and 77.
-7.875-35⋅(-0.525⋅77+27)
Combine the numerators over the common denominator.
-7.875-35⋅-0.525⋅7+27
Simplify the numerator.
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Multiply -0.525 by 7.
-7.875-35⋅-3.675+27
Add -3.675 and 2.
-7.875-35⋅-1.6757
-7.875-35⋅-1.6757
Cancel the common factor of 7.
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Factor 7 out of -35.
-7.875+7(-5)⋅-1.6757
Cancel the common factor.
-7.875+7⋅-5⋅-1.6757
Rewrite the expression.
-7.875-5⋅-1.675
-7.875-5⋅-1.675
Multiply -5 by -1.675.
-7.875+8.375
Add -7.875 and 8.375.
0.5
Factor 12*(0.5*(-1 5/16))-35*(0.4*(-1 5/16)+2/7)

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