Shapes to Equivalent Values

Worksheet Description

This worksheet is an educational activity designed to help students learn how to convert improper fractions to mixed numbers through visual aids. It contains several rows with shaded figures that represent improper fractions, and two empty columns labeled “Improper Fraction” and “Mixed Number” alongside them. Students are expected to identify the improper fraction that the shaded part of the figure represents and then convert that fraction into a mixed number in the adjacent columns. The worksheet uses circles, rectangles, and triangles filled in to various extents to visualize the parts beyond a whole.

The worksheet’s objective is to provide a visual understanding of the concept of improper fractions—fractions where the numerator is larger than the denominator—and their conversion to mixed numbers, which consist of a whole number and a proper fraction. The shaded figures help students to see the fraction as a grouping of whole units and parts of a unit, making the abstraction of fractions more concrete. By writing down the improper fraction and then converting it to a mixed number, students reinforce their skills in division and gain practice in recognizing and representing fractions in different forms. This visual approach supports students who may struggle with purely numerical methods, offering an alternative way to comprehend and work with fractions.