Square ratios

Geometry Level 3

The blue square touches each side of the largest square, filling 2950\frac{29}{50} of it.

Each of the 4 red squares at the corners of the largest square touch the blue square.

The fraction of the largest square that is red is ab,\frac{a}{b}, where aa and bb are positive coprime integers.

What is a+b?a+b?

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