# Solve for t 3/8t=-9/16

38t=-916
Multiply both sides of the equation by 83.
83⋅38⋅t=83⋅(-916)
Simplify both sides of the equation.
Simplify 83⋅38⋅t.
Cancel the common factor of 8.
Cancel the common factor.
83⋅38⋅t=83⋅(-916)
Rewrite the expression.
13⋅3⋅t=83⋅(-916)
13⋅3⋅t=83⋅(-916)
Cancel the common factor of 3.
Cancel the common factor.
13⋅3⋅t=83⋅(-916)
Rewrite the expression.
1⋅t=83⋅(-916)
1⋅t=83⋅(-916)
Multiply t by 1.
t=83⋅(-916)
t=83⋅(-916)
Simplify 83⋅(-916).
Cancel the common factor of 8.
Move the leading negative in -916 into the numerator.
t=83⋅-916
Factor 8 out of 16.
t=83⋅-98(2)
Cancel the common factor.
t=83⋅-98⋅2
Rewrite the expression.
t=13⋅-92
t=13⋅-92
Cancel the common factor of 3.
Factor 3 out of -9.
t=13⋅3(-3)2
Cancel the common factor.
t=13⋅3⋅-32
Rewrite the expression.
t=-32
t=-32
Move the negative in front of the fraction.
t=-32
t=-32
t=-32
The result can be shown in multiple forms.
Exact Form:
t=-32
Decimal Form:
t=-1.5
Mixed Number Form:
t=-112
Solve for t 3/8t=-9/16

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