Evaluate 2/5-4/3*(-9/8)

Math
25-43⋅(-98)
Simplify each term.
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Cancel the common factor of 4.
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Move the leading negative in -43 into the numerator.
25+-43⋅(-98)
Move the leading negative in -98 into the numerator.
25+-43⋅-98
Factor 4 out of -4.
25+4(-1)3⋅-98
Factor 4 out of 8.
25+4⋅-13⋅-94⋅2
Cancel the common factor.
25+4⋅-13⋅-94⋅2
Rewrite the expression.
25+-13⋅-92
25+-13⋅-92
Cancel the common factor of 3.
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Factor 3 out of -9.
25+-13⋅3(-3)2
Cancel the common factor.
25+-13⋅3⋅-32
Rewrite the expression.
25-1⋅-32
25-1⋅-32
Move the negative in front of the fraction.
25-1⋅(-32)
Multiply -1(-32).
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Multiply -1 by -1.
25+1(32)
Multiply 32 by 1.
25+32
25+32
25+32
To write 25 as a fraction with a common denominator, multiply by 22.
25⋅22+32
To write 32 as a fraction with a common denominator, multiply by 55.
25⋅22+32⋅55
Write each expression with a common denominator of 10, by multiplying each by an appropriate factor of 1.
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Multiply 25 and 22.
2⋅25⋅2+32⋅55
Multiply 5 by 2.
2⋅210+32⋅55
Multiply 32 and 55.
2⋅210+3⋅52⋅5
Multiply 2 by 5.
2⋅210+3⋅510
2⋅210+3⋅510
Combine the numerators over the common denominator.
2⋅2+3⋅510
Simplify the numerator.
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Multiply 2 by 2.
4+3⋅510
Multiply 3 by 5.
4+1510
Add 4 and 15.
1910
1910
The result can be shown in multiple forms.
Exact Form:
1910
Decimal Form:
1.9
Mixed Number Form:
1910
Evaluate 2/5-4/3*(-9/8)

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