Combine (((6 3/4*(2 2/7-1 1/21))÷2 1/4)*8/9)÷(3/2)

Math
(634⋅(227-1121)÷214)⋅89÷32
Convert 634 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
(6+34)⋅(227-1121)214⋅8932
Add 6 and 34.
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To write 6 as a fraction with a common denominator, multiply by 44.
(6⋅44+34)⋅(227-1121)214⋅8932
Combine 6 and 44.
(6⋅44+34)⋅(227-1121)214⋅8932
Combine the numerators over the common denominator.
6⋅4+34⋅(227-1121)214⋅8932
Simplify the numerator.
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Multiply 6 by 4.
24+34⋅(227-1121)214⋅8932
Add 24 and 3.
274⋅(227-1121)214⋅8932
274⋅(227-1121)214⋅8932
274⋅(227-1121)214⋅8932
274⋅(227-1121)214⋅8932
Convert 227 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
274⋅(2+27-1121)214⋅8932
Add 2 and 27.
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To write 2 as a fraction with a common denominator, multiply by 77.
274⋅(2⋅77+27-1121)214⋅8932
Combine 2 and 77.
274⋅(2⋅77+27-1121)214⋅8932
Combine the numerators over the common denominator.
274⋅(2⋅7+27-1121)214⋅8932
Simplify the numerator.
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Multiply 2 by 7.
274⋅(14+27-1121)214⋅8932
Add 14 and 2.
274⋅(167-1121)214⋅8932
274⋅(167-1121)214⋅8932
274⋅(167-1121)214⋅8932
274⋅(167-1121)214⋅8932
Convert 1121 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
274⋅(167-(1+121))214⋅8932
Add 1 and 121.
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Write 1 as a fraction with a common denominator.
274⋅(167-(2121+121))214⋅8932
Combine the numerators over the common denominator.
274⋅(167-21+121)214⋅8932
Add 21 and 1.
274⋅(167-2221)214⋅8932
274⋅(167-2221)214⋅8932
274⋅(167-2221)214⋅8932
Convert 214 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
274⋅(167-2221)2+14⋅8932
Add 2 and 14.
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To write 2 as a fraction with a common denominator, multiply by 44.
274⋅(167-2221)2⋅44+14⋅8932
Combine 2 and 44.
274⋅(167-2221)2⋅44+14⋅8932
Combine the numerators over the common denominator.
274⋅(167-2221)2⋅4+14⋅8932
Simplify the numerator.
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Multiply 2 by 4.
274⋅(167-2221)8+14⋅8932
Add 8 and 1.
274⋅(167-2221)94⋅8932
274⋅(167-2221)94⋅8932
274⋅(167-2221)94⋅8932
274⋅(167-2221)94⋅8932
Multiply the numerator by the reciprocal of the denominator.
274⋅(167-2221)94⋅8923
Simplify the numerator.
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To write 167 as a fraction with a common denominator, multiply by 33.
274(167⋅33-2221)94⋅8923
Write each expression with a common denominator of 21, by multiplying each by an appropriate factor of 1.
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Multiply 167 and 33.
274(16⋅37⋅3-2221)94⋅8923
Multiply 7 by 3.
274(16⋅321-2221)94⋅8923
274(16⋅321-2221)94⋅8923
Combine the numerators over the common denominator.
274⋅16⋅3-222194⋅8923
Simplify the numerator.
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Multiply 16 by 3.
274⋅48-222194⋅8923
Subtract 22 from 48.
274⋅262194⋅8923
274⋅262194⋅8923
274⋅262194⋅8923
Simplify terms.
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Multiply 274 and 2621.
27⋅264⋅2194⋅8923
Multiply.
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Multiply 27 by 26.
7024⋅2194⋅8923
Multiply 4 by 21.
7028494⋅8923
7028494⋅8923
Cancel the common factor of 702 and 84.
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Factor 6 out of 702.
6(117)8494⋅8923
Cancel the common factors.
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Factor 6 out of 84.
6⋅1176⋅1494⋅8923
Cancel the common factor.
6⋅1176⋅1494⋅8923
Rewrite the expression.
1171494⋅8923
1171494⋅8923
1171494⋅8923
1171494⋅8923
Multiply the numerator by the reciprocal of the denominator.
11714⋅49⋅8923
Cancel the common factor of 9.
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Factor 9 out of 117.
9(13)14⋅49⋅8923
Cancel the common factor.
9⋅1314⋅49⋅8923
Rewrite the expression.
1314⋅4⋅8923
1314⋅4⋅8923
Cancel the common factor of 2.
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Factor 2 out of 14.
132(7)⋅4⋅8923
Factor 2 out of 4.
132⋅7⋅(2⋅2)⋅8923
Cancel the common factor.
132⋅7⋅(2⋅2)⋅8923
Rewrite the expression.
137⋅2⋅8923
137⋅2⋅8923
Combine 137 and 2.
13⋅27⋅8923
Multiply 13 by 2.
267⋅8923
Multiply 267⋅89.
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Multiply 267 and 89.
26⋅87⋅9⋅23
Multiply 26 by 8.
2087⋅9⋅23
Multiply 7 by 9.
20863⋅23
20863⋅23
Multiply 20863⋅23.
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Multiply 20863 and 23.
208⋅263⋅3
Multiply 208 by 2.
41663⋅3
Multiply 63 by 3.
416189
416189
Combine (((6 3/4*(2 2/7-1 1/21))÷2 1/4)*8/9)÷(3/2)

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