Multiply (9/2+1/3)(3/8+1/2)

Math
(92+13)(38+12)
To write 92 as a fraction with a common denominator, multiply by 33.
(92⋅33+13)(38+12)
To write 13 as a fraction with a common denominator, multiply by 22.
(92⋅33+13⋅22)(38+12)
Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.
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Multiply 92 and 33.
(9⋅32⋅3+13⋅22)(38+12)
Multiply 2 by 3.
(9⋅36+13⋅22)(38+12)
Multiply 13 and 22.
(9⋅36+23⋅2)(38+12)
Multiply 3 by 2.
(9⋅36+26)(38+12)
(9⋅36+26)(38+12)
Combine the numerators over the common denominator.
9⋅3+26(38+12)
Simplify the numerator.
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Multiply 9 by 3.
27+26(38+12)
Add 27 and 2.
296(38+12)
296(38+12)
To write 12 as a fraction with a common denominator, multiply by 44.
296(38+12⋅44)
Write each expression with a common denominator of 8, by multiplying each by an appropriate factor of 1.
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Multiply 12 and 44.
296(38+42⋅4)
Multiply 2 by 4.
296(38+48)
296(38+48)
Combine the numerators over the common denominator.
296⋅3+48
Add 3 and 4.
296⋅78
Multiply 296⋅78.
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Multiply 296 and 78.
29⋅76⋅8
Multiply 29 by 7.
2036⋅8
Multiply 6 by 8.
20348
20348
The result can be shown in multiple forms.
Exact Form:
20348
Decimal Form:
4.22916‾
Mixed Number Form:
41148
Multiply (9/2+1/3)(3/8+1/2)

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