Solve for t 1/f+1/t+1/k=t

Math
Move all terms not containing to the right side of the equation.
Tap for more steps…
Subtract from both sides of the equation.
Subtract from both sides of the equation.
Find the LCD of the terms in the equation.
Tap for more steps…
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
Since contain both numbers and variables, there are two steps to find the LCM. Find LCM for the numeric part then find LCM for the variable part .
The LCM is the smallest positive number that all of the numbers divide into evenly.
1. List the prime factors of each number.
2. Multiply each factor the greatest number of times it occurs in either number.
The number is not a prime number because it only has one positive factor, which is itself.
Not prime
The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either number.
The factor for is itself.
occurs time.
The factor for is itself.
occurs time.
The factor for is itself.
occurs time.
The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either term.
Multiply by .
Multiply each term by and simplify.
Tap for more steps…
Multiply each term in by in order to remove all the denominators from the equation.
Cancel the common factor of .
Tap for more steps…
Factor out of .
Cancel the common factor.
Rewrite the expression.
Simplify each term.
Tap for more steps…
Multiply by by adding the exponents.
Tap for more steps…
Move .
Multiply by .
Cancel the common factor of .
Tap for more steps…
Move the leading negative in into the numerator.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Rewrite as .
Cancel the common factor of .
Tap for more steps…
Move the leading negative in into the numerator.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Rewrite as .
Solve the equation.
Tap for more steps…
Rewrite the equation as .
Move to the left side of the equation by subtracting it from both sides.
Use the quadratic formula to find the solutions.
Substitute the values , , and into the quadratic formula and solve for .
Simplify the numerator.
Tap for more steps…
Apply the distributive property.
Multiply .
Tap for more steps…
Multiply by .
Multiply by .
Multiply .
Tap for more steps…
Multiply by .
Multiply by .
Rewrite as .
Expand using the FOIL Method.
Tap for more steps…
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
Tap for more steps…
Simplify each term.
Tap for more steps…
Multiply by .
Multiply by .
Multiply by .
Rewrite using the commutative property of multiplication.
Multiply by .
Multiply by .
Rewrite using the commutative property of multiplication.
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Add and .
Tap for more steps…
Reorder and .
Add and .
Multiply by by adding the exponents.
Tap for more steps…
Move .
Multiply by .
Multiply by by adding the exponents.
Tap for more steps…
Move .
Multiply by .
Move to the left of .
Rewrite as .
Multiply by .
The final answer is the combination of both solutions.
Solve for t 1/f+1/t+1/k=t

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