# Primary consecutive addition (Part 7)

**Algebra**Level 4

Evaluate:

\[ \large{\frac{1}{2\times 3} +\frac{2}{3\times4}+\frac{3}{4\times5}+\ldots+\frac{49}{50\times 51}+\frac{50}{51\times52}} \]

**Details:**

Answer the expression above in \( 3 \) decimal places.

The fraction terms are in a consecutive order: \( 1, 2, 3, 4, \ldots, 51, 52 \)

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