We read your photo as:

Work out (y+5)/(x(x+4)) / ((x-3)(y+5))/(4xy). Give your answer as a fraction in its simplest form.

Mathematics

ScanSolve AI Answer

Answer

4y(x+4)(x−3)\frac{4y}{(x+4)(x-3)}

Step-by-step solution

4 steps

  1. To divide fractions, multiply the first fraction by the reciprocal of the second fraction.

    y+5x(x+4)÷(x−3)(y+5)4xy=y+5x(x+4)×4xy(x−3)(y+5)\frac{y+5}{x(x+4)} \div \frac{(x-3)(y+5)}{4xy} = \frac{y+5}{x(x+4)} \times \frac{4xy}{(x-3)(y+5)}

  2. Multiply the numerators and the denominators.

    (y+5)⋅4xyx(x+4)(x−3)(y+5)\frac{(y+5) \cdot 4xy}{x(x+4)(x-3)(y+5)}

  3. Cancel out common factors from the numerator and the denominator.

    The common factors are xx and (y+5)(y+5).

    (y+5)⋅4xyx(x+4)(x−3)(y+5)\frac{\cancel{(y+5)} \cdot 4\cancel{x}y}{\cancel{x}(x+4)(x-3)\cancel{(y+5)}}

  4. Write the simplified expression.

    4y(x+4)(x−3)\frac{4y}{(x+4)(x-3)}
Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question

More Mathematics Questions

QSimplify the following expression: (4x)/(y2 - x2) + 2/(x+4) − 3/(y-x)QSimplify: (3x2 - 9y2)/(xy) × (20xy)/(6x − 3y)QSimplify the following algebraic fractions: 3(5x−8y)/4 − 4(6x−15y)/5QSimplify: (x2 - y2) / (x+y) ÷ (2y−2x) / (3xy)QSimplify the expression: \(2 − (y5)/(4)y(1)/(4) − y^-(1)/(4)\).
Browse by topic:Pre-Algebra
See all Mathematics questions →
Got a syllabus? Photograph it and I'll tell you what's due and what's worth the most.
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp