# Solve for q 5 1/6+q=5 1/4 516+q=514
Convert 516 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
5+16+q=514
To write 5 as a fraction with a common denominator, multiply by 66.
5⋅66+16+q=514
Combine 5 and 66.
5⋅66+16+q=514
Combine the numerators over the common denominator.
5⋅6+16+q=514
Simplify the numerator.
Multiply 5 by 6.
30+16+q=514
316+q=514
316+q=514
316+q=514
316+q=514
Convert 514 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
316+q=5+14
To write 5 as a fraction with a common denominator, multiply by 44.
316+q=5⋅44+14
Combine 5 and 44.
316+q=5⋅44+14
Combine the numerators over the common denominator.
316+q=5⋅4+14
Simplify the numerator.
Multiply 5 by 4.
316+q=20+14
316+q=214
316+q=214
316+q=214
316+q=214
Move all terms not containing q to the right side of the equation.
Subtract 316 from both sides of the equation.
q=214-316
To write 214 as a fraction with a common denominator, multiply by 33.
q=214⋅33-316
To write -316 as a fraction with a common denominator, multiply by 22.
q=214⋅33-316⋅22
Write each expression with a common denominator of 12, by multiplying each by an appropriate factor of 1.
Multiply 214 and 33.
q=21⋅34⋅3-316⋅22
Multiply 4 by 3.
q=21⋅312-316⋅22
Multiply 316 and 22.
q=21⋅312-31⋅26⋅2
Multiply 6 by 2.
q=21⋅312-31⋅212
q=21⋅312-31⋅212
Combine the numerators over the common denominator.
q=21⋅3-31⋅212
Simplify the numerator.
Multiply 21 by 3.
q=63-31⋅212
Multiply -31 by 2.
q=63-6212
Subtract 62 from 63.
q=112
q=112
q=112
The result can be shown in multiple forms.
Exact Form:
q=112
Decimal Form:
q=0.083‾
Solve for q 5 1/6+q=5 1/4

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