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Chapter 5: Problem 1

Simplify \(\frac{5 x}{25 x+10 y}\)

Short Answer

Expert verified
Answer: The simplest form of the expression is \(\frac{x}{5x+2y}\).

Step by step solution

01

Factor the numerator and the denominator

Factor out the common factors in the numerator and the denominator. In this case, we can factor out 5 from both the numerator and the denominator. Numerator: \(5x = 5\cdot x\). Denominator: \(25x + 10y = 5\cdot (5x+2y)\). So, the expression becomes: \(\frac{5\cdot x}{5\cdot (5x+2y)}\).
02

Cancel out the common factors

Now, we will cancel out the common factor, which is 5, from the numerator and the denominator. The expression becomes: \(\frac{x}{5x+2y}\).
03

Write the simplified expression

The simplified expression is \(\frac{x}{5x+2y}\).

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Most popular questions from this chapter

Remove the brackets from the following and simplify the result: (a) \((a+3)(a-5)\) (b) \((2 b+6)(b-7)\) (c) \((3 c+4)(2 c-1)\) (d) \((5 d+8)(-2 d-1)\)

In each case, simplify the given expression, if possible. \( \quad 4 y+2 x-3 x y\)

Simplify \(\frac{8 r^{3}}{4 \pi r^{2}}\)

Find \(\frac{5}{7 y}+\frac{2 x}{3}\)

In each case, simplify the given expression, if possible. \(\frac{1}{3} x+\frac{1}{2} x\)
See all solutions

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