b-15+16=52

To write b-15 as a fraction with a common denominator, multiply by 66.

b-15⋅66+16=52

To write 16 as a fraction with a common denominator, multiply by 55.

b-15⋅66+16⋅55=52

Write each expression with a common denominator of 30, by multiplying each by an appropriate factor of 1.

Multiply b-15 and 66.

(b-1)⋅65⋅6+16⋅55=52

Multiply 5 by 6.

(b-1)⋅630+16⋅55=52

Multiply 16 and 55.

(b-1)⋅630+56⋅5=52

Multiply 6 by 5.

(b-1)⋅630+530=52

(b-1)⋅630+530=52

Combine the numerators over the common denominator.

(b-1)⋅6+530=52

Simplify the numerator.

Apply the distributive property.

b⋅6-1⋅6+530=52

Move 6 to the left of b.

6⋅b-1⋅6+530=52

Multiply -1 by 6.

6⋅b-6+530=52

Add -6 and 5.

6b-130=52

6b-130=52

6b-130=52

Multiply both sides of the equation by 30.

6b-1=52⋅(30)

Remove parentheses.

6b-1=52⋅(30)

Cancel the common factor of 2.

Factor 2 out of 30.

6b-1=52⋅(2(15))

Cancel the common factor.

6b-1=52⋅(2⋅15)

Rewrite the expression.

6b-1=5⋅15

6b-1=5⋅15

Multiply 5 by 15.

6b-1=75

6b-1=75

Add 1 to both sides of the equation.

6b=75+1

Add 75 and 1.

6b=76

6b=76

Divide each term in 6b=76 by 6.

6b6=766

Cancel the common factor of 6.

Cancel the common factor.

6b6=766

Divide b by 1.

b=766

b=766

Cancel the common factor of 76 and 6.

Factor 2 out of 76.

b=2(38)6

Cancel the common factors.

Factor 2 out of 6.

b=2⋅382⋅3

Cancel the common factor.

b=2⋅382⋅3

Rewrite the expression.

b=383

b=383

b=383

b=383

The result can be shown in multiple forms.

Exact Form:

b=383

Decimal Form:

b=12.6‾

Mixed Number Form:

b=1223

Solve for b (b-1)/5+1/6=5/2