Evaluate (3/2+3/4)/(6/11-4/22)

Math
32+34611-422
Cancel the common factor of 4 and 22.
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Factor 2 out of 4.
32+34611-2(2)22
Cancel the common factors.
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Factor 2 out of 22.
32+34611-2⋅22⋅11
Cancel the common factor.
32+34611-2⋅22⋅11
Rewrite the expression.
32+34611-211
32+34611-211
32+34611-211
Multiply the numerator and denominator of the complex fraction by 44.
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Multiply 32+34611-211 by 4444.
4444⋅32+34611-211
Combine.
44(32+34)44(611-211)
44(32+34)44(611-211)
Apply the distributive property.
44(32)+44(34)44(611)+44(-211)
Simplify by cancelling.
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Cancel the common factor of 2.
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Factor 2 out of 44.
2(22)32+44(34)44(611)+44(-211)
Cancel the common factor.
2⋅2232+44(34)44(611)+44(-211)
Rewrite the expression.
22⋅3+44(34)44(611)+44(-211)
22⋅3+44(34)44(611)+44(-211)
Multiply 22 by 3.
66+44(34)44(611)+44(-211)
Cancel the common factor of 4.
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Factor 4 out of 44.
66+4(11)3444(611)+44(-211)
Cancel the common factor.
66+4⋅113444(611)+44(-211)
Rewrite the expression.
66+11⋅344(611)+44(-211)
66+11⋅344(611)+44(-211)
Multiply 11 by 3.
66+3344(611)+44(-211)
Cancel the common factor of 11.
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Factor 11 out of 44.
66+3311(4)611+44(-211)
Cancel the common factor.
66+3311⋅4611+44(-211)
Rewrite the expression.
66+334⋅6+44(-211)
66+334⋅6+44(-211)
Multiply 4 by 6.
66+3324+44(-211)
Cancel the common factor of 11.
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Move the leading negative in -211 into the numerator.
66+3324+44(-211)
Factor 11 out of 44.
66+3324+11(4)-211
Cancel the common factor.
66+3324+11⋅4-211
Rewrite the expression.
66+3324+4⋅-2
66+3324+4⋅-2
Multiply 4 by -2.
66+3324-8
66+3324-8
Simplify by adding and subtracting.
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Add 66 and 33.
9924-8
Subtract 8 from 24.
9916
9916
The result can be shown in multiple forms.
Exact Form:
9916
Decimal Form:
6.1875
Mixed Number Form:
6316
Evaluate (3/2+3/4)/(6/11-4/22)

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