516+q=514

A mixed number is an addition of its whole and fractional parts.

5+16+q=514

Add 5 and 16.

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

Add 30 and 1.

316+q=514

316+q=514

316+q=514

316+q=514

A mixed number is an addition of its whole and fractional parts.

316+q=5+14

Add 5 and 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

Add 20 and 1.

316+q=214

316+q=214

316+q=214

316+q=214

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