Problem: Fractions, true or false

Problem

True or false?

1. \( \frac{a}{b+c}= \frac{a}{b}+ \frac{a}{c}\)
2. \( \frac{b+c}{a}= \frac{b}{a}+ \frac{c}{a}\)
3. \( \frac{x}{x+y}= \frac{1}{1+y}\)
4. \( \frac{x}{x\left( 1+y \right)}= \frac{1}{1+y}\)