Question

Use algebra to convert 0. 7575757575...... (both the 7 and the 5 are recurring) to a fraction in its simplest form

Answer 1

Answer:

$\frac{25}{33}$

Step-by-step explanation:

100x = 75.7575757575......

   x = 0.7575757575......

∴99x=75

∴$x=\frac{75}{99}$

∴$x=\frac{25}{33}$