Math Problem Statement

Write the fractions based on given numerators and denominators, find the shaded and unshaded fractions in figures, and color the figures based on given fractions.

Solution

Here’s the solution to the exercises based on the image:

1. Write the fractions whose numerators and denominators are given below:

For each fraction, divide the numerator by the denominator:

  • a. 713\frac{7}{13}
  • b. 617\frac{6}{17}
  • c. 512\frac{5}{12}
  • d. 1116\frac{11}{16}
  • e. 09\frac{0}{9} = 00 (because the numerator is 0)

2. Write the fraction for shaded and unshaded parts in each figure:

a.

  • Shaded: 2 (out of 4 boxes)
  • Fraction of shaded: 24=12\frac{2}{4} = \frac{1}{2}
  • Fraction of unshaded: 24=12\frac{2}{4} = \frac{1}{2}

b.

  • Shaded: 3 (out of 6 boxes)
  • Fraction of shaded: 36=12\frac{3}{6} = \frac{1}{2}
  • Fraction of unshaded: 36=12\frac{3}{6} = \frac{1}{2}

c.

  • Shaded: 5 (out of 8 boxes)
  • Fraction of shaded: 58\frac{5}{8}
  • Fraction of unshaded: 38\frac{3}{8}

d.

  • Shaded: 7 (out of 10 boxes)
  • Fraction of shaded: 710\frac{7}{10}
  • Fraction of unshaded: 310\frac{3}{10}

3. Colour the figures according to the given fractions:

  • a. Colour 2 out of 3 horizontal sections in the rectangle.
  • b. Colour 3 out of 6 slices in the circle.
  • c. Colour 2 out of 4 triangles in the larger triangle.

Would you like me to clarify any part of this or explain any of these steps in detail?

Here are 5 related questions to expand your understanding:

  1. How can you simplify fractions to their lowest terms?
  2. Why does a fraction like 0n\frac{0}{n} always equal 0?
  3. How do you represent fractions as percentages?
  4. Can you explain what a proper fraction and improper fraction are?
  5. What are equivalent fractions, and how can you find them?

Tip: Always simplify fractions whenever possible to make them easier to compare or use in calculations!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Fractions
Numerators and Denominators
Simplification of Fractions
Visual Representation of Fractions

Formulas

Fraction = Numerator / Denominator
Simplification: Divide numerator and denominator by their greatest common divisor

Theorems

-

Suitable Grade Level

Grades 3-5