Evaluate 3/2-2/5+(5/4-2/3)

Math
32-25+(54-23)
Remove parentheses.
32-25+54-23
To write 32 as a fraction with a common denominator, multiply by 55.
32⋅55-25+54-23
To write -25 as a fraction with a common denominator, multiply by 22.
32⋅55-25⋅22+54-23
Write each expression with a common denominator of 10, by multiplying each by an appropriate factor of 1.
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Multiply 32 and 55.
3⋅52⋅5-25⋅22+54-23
Multiply 2 by 5.
3⋅510-25⋅22+54-23
Multiply 25 and 22.
3⋅510-2⋅25⋅2+54-23
Multiply 5 by 2.
3⋅510-2⋅210+54-23
3⋅510-2⋅210+54-23
Combine the numerators over the common denominator.
3⋅5-2⋅210+54-23
Simplify the numerator.
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Multiply 3 by 5.
15-2⋅210+54-23
Multiply -2 by 2.
15-410+54-23
Subtract 4 from 15.
1110+54-23
1110+54-23
To write 1110 as a fraction with a common denominator, multiply by 22.
1110⋅22+54-23
To write 54 as a fraction with a common denominator, multiply by 55.
1110⋅22+54⋅55-23
Write each expression with a common denominator of 20, by multiplying each by an appropriate factor of 1.
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Multiply 1110 and 22.
11⋅210⋅2+54⋅55-23
Multiply 10 by 2.
11⋅220+54⋅55-23
Multiply 54 and 55.
11⋅220+5⋅54⋅5-23
Multiply 4 by 5.
11⋅220+5⋅520-23
11⋅220+5⋅520-23
Combine the numerators over the common denominator.
11⋅2+5⋅520-23
Simplify the numerator.
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Multiply 11 by 2.
22+5⋅520-23
Multiply 5 by 5.
22+2520-23
Add 22 and 25.
4720-23
4720-23
To write 4720 as a fraction with a common denominator, multiply by 33.
4720⋅33-23
To write -23 as a fraction with a common denominator, multiply by 2020.
4720⋅33-23⋅2020
Write each expression with a common denominator of 60, by multiplying each by an appropriate factor of 1.
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Multiply 4720 and 33.
47⋅320⋅3-23⋅2020
Multiply 20 by 3.
47⋅360-23⋅2020
Multiply 23 and 2020.
47⋅360-2⋅203⋅20
Multiply 3 by 20.
47⋅360-2⋅2060
47⋅360-2⋅2060
Combine the numerators over the common denominator.
47⋅3-2⋅2060
Simplify the numerator.
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Multiply 47 by 3.
141-2⋅2060
Multiply -2 by 20.
141-4060
Subtract 40 from 141.
10160
10160
The result can be shown in multiple forms.
Exact Form:
10160
Decimal Form:
1.683‾
Mixed Number Form:
14160
Evaluate 3/2-2/5+(5/4-2/3)

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