Math Problem Statement

The sum of the reciprocals of fractions represented by the shaded parts of Figure (i) and Figure (ii) will be:

Solution

To solve the problem:

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Math Problem Analysis

Mathematical Concepts

Fractions
Reciprocals
Geometric areas

Formulas

Fraction = Area of shaded region / Total area of triangle
Reciprocal of a fraction = 1 / Fraction

Theorems

Proportionality of similar triangles

Suitable Grade Level

Grades 6-8