Solve for d 2/d+1/4=11/12

Math
2d+14=1112
Move all terms not containing d to the right side of the equation.
Tap for more steps…
Subtract 14 from both sides of the equation.
2d=1112-14
To write -14 as a fraction with a common denominator, multiply by 33.
2d=1112-14⋅33
Write each expression with a common denominator of 12, by multiplying each by an appropriate factor of 1.
Tap for more steps…
Multiply 14 and 33.
2d=1112-34⋅3
Multiply 4 by 3.
2d=1112-312
2d=1112-312
Combine the numerators over the common denominator.
2d=11-312
Subtract 3 from 11.
2d=812
Cancel the common factor of 8 and 12.
Tap for more steps…
Factor 4 out of 8.
2d=4(2)12
Cancel the common factors.
Tap for more steps…
Factor 4 out of 12.
2d=4⋅24⋅3
Cancel the common factor.
2d=4⋅24⋅3
Rewrite the expression.
2d=23
2d=23
2d=23
2d=23
Set up the rational expression with the same denominator over the entire equation.
Tap for more steps…
Multiply each term by a factor of 1 that will equate all the denominators. In this case, all terms need a denominator of 3d. The 2d expression needs to be multiplied by 33 to make the denominator 3d. The 23 expression needs to be multiplied by dd to make the denominator 3d.
2d⋅33=23⋅dd
Multiply the expression by a factor of 1 to create the least common denominator (LCD) of 3d.
2(3)
Multiply 2 by 3.
63d=23⋅dd
Multiply the expression by a factor of 1 to create the least common denominator (LCD) of 3d.
2(d)
Multiply 2 by d.
63d=2d3d
63d=2d3d
Since the expression on each side of the equation has the same denominator, the numerators must be equal.
6=2d
Rewrite the equation as 2d=6.
2d=6
Divide each term by 2 and simplify.
Tap for more steps…
Divide each term in 2d=6 by 2.
2d2=62
Cancel the common factor of 2.
Tap for more steps…
Cancel the common factor.
2d2=62
Divide d by 1.
d=62
d=62
Divide 6 by 2.
d=3
d=3
Solve for d 2/d+1/4=11/12

Meet the Team our Math Expers

Our Professionals

Robert Kristofer

Anna Frok

Magnus Flores

Lydia Fran

We are MathExperts

Solve all your Math Problems: https://elanyachtselection.com/

We can solve all your math problems
Scroll to top