Solve for Q Q-7 5/6=6 1/2

Math
Q-756=612
Convert 756 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
Q-(7+56)=612
Add 7 and 56.
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To write 7 as a fraction with a common denominator, multiply by 66.
Q-(7⋅66+56)=612
Combine 7 and 66.
Q-(7⋅66+56)=612
Combine the numerators over the common denominator.
Q-7⋅6+56=612
Simplify the numerator.
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Multiply 7 by 6.
Q-42+56=612
Add 42 and 5.
Q-476=612
Q-476=612
Q-476=612
Q-476=612
Convert 612 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
Q-476=6+12
Add 6 and 12.
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To write 6 as a fraction with a common denominator, multiply by 22.
Q-476=6⋅22+12
Combine 6 and 22.
Q-476=6⋅22+12
Combine the numerators over the common denominator.
Q-476=6⋅2+12
Simplify the numerator.
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Multiply 6 by 2.
Q-476=12+12
Add 12 and 1.
Q-476=132
Q-476=132
Q-476=132
Q-476=132
Move all terms not containing Q to the right side of the equation.
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Add 476 to both sides of the equation.
Q=132+476
To write 132 as a fraction with a common denominator, multiply by 33.
Q=132⋅33+476
Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.
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Multiply 132 and 33.
Q=13⋅32⋅3+476
Multiply 2 by 3.
Q=13⋅36+476
Q=13⋅36+476
Combine the numerators over the common denominator.
Q=13⋅3+476
Simplify the numerator.
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Multiply 13 by 3.
Q=39+476
Add 39 and 47.
Q=866
Q=866
Cancel the common factor of 86 and 6.
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Factor 2 out of 86.
Q=2(43)6
Cancel the common factors.
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Factor 2 out of 6.
Q=2⋅432⋅3
Cancel the common factor.
Q=2⋅432⋅3
Rewrite the expression.
Q=433
Q=433
Q=433
Q=433
The result can be shown in multiple forms.
Exact Form:
Q=433
Decimal Form:
Q=14.3‾
Mixed Number Form:
Q=1413
Solve for Q Q-7 5/6=6 1/2

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