Simplify (5/2)÷(10/3)*(t*17)/4

Math
52÷103⋅t⋅174
To divide by a fraction, multiply by its reciprocal.
52⋅310⋅t⋅174
Cancel the common factor of 5.
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Factor 5 out of 10.
52⋅35(2)⋅t⋅174
Cancel the common factor.
52⋅35⋅2⋅t⋅174
Rewrite the expression.
12⋅32⋅t⋅174
12⋅32⋅t⋅174
Multiply 12 and 32.
32⋅2⋅t⋅174
Simplify the expression.
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Multiply 2 by 2.
34⋅t⋅174
Move 17 to the left of t.
34⋅17⋅t4
34⋅17⋅t4
Multiply 34⋅17t4.
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Multiply 34 and 17t4.
3(17t)4⋅4
Multiply 17 by 3.
51t4⋅4
Multiply 4 by 4.
51t16
51t16
Simplify (5/2)÷(10/3)*(t*17)/4

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