Equivalent Fractions

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Questions and Answers

Which fraction is equivalent to one-third, represented by one out of three equal parts?

  • One-sixth
  • Two-sixths (correct)
  • Three-sixths

If a rectangle is divided into 8 equal parts and 6 are shaded, which of the following fractions represents this and its simplest equivalent?

  • 8/6, simplified to 4/3
  • 6/8, simplified to 3/4 (correct)
  • 6/8, simplified to 2/4

Which fraction is equivalent to four-sixths, and what visual representation accurately demonstrates this equivalence?

  • Three-quarters, shown by dividing a square into four parts with three shaded.
  • Two-thirds, shown by dividing a rectangle into three parts with two shaded. (correct)
  • One-half, shown by dividing a circle into two parts with one shaded.

Consider a scenario where you have a pizza cut into 12 slices, and 9 slices are eaten. Which fraction represents the eaten portion in its simplest form?

<p>9/12 simplified to 3/4 (C)</p> Signup and view all the answers

Which visual model accurately represents a fraction equivalent to two-fifths, demonstrating proportional shading?

<p>Dividing a shape into ten parts and shading four of them. (C)</p> Signup and view all the answers

If a class has 25 students and 10 are wearing glasses, which fraction represents the portion of students wearing glasses in simplest form?

<p>10/25 simplified to 2/5 (C)</p> Signup and view all the answers

How can three-ninths be simplified to its equivalent fraction, and what does this simplification visually represent?

<p>Simplifies to one-third, showing one part out of three shaded. (A)</p> Signup and view all the answers

Imagine you have a garden divided into 15 plots, and 5 are used for growing tomatoes. What fraction of the garden is used for tomatoes in simplest form?

<p>5/15 simplified to 1/3 (B)</p> Signup and view all the answers

Represent seven-tenths as an equivalent fraction with a denominator of 100. What is the numerator?

<p>70 (B)</p> Signup and view all the answers

Which fraction is equivalent to twenty-five hundredths, relating to parts of a whole divided into 100 equal sections?

<p>One-quarter (1/4) (C)</p> Signup and view all the answers

How does the concept of equivalent fractions apply when scaling a recipe that calls for 1/2 cup of flour?

<p>Doubling the recipe requires 2/2 cup of flour. (C)</p> Signup and view all the answers

In data representation, which of the following ratios is equivalent to 60%, expressing a proportional relationship?

<p>3/5 (B)</p> Signup and view all the answers

You have 3/4 of a pizza left. If you eat 1/2 of the leftover pizza, what fraction of the whole pizza did you eat?

<p>3/8 (A)</p> Signup and view all the answers

A rectangle is 2/3 full. What fraction describes how much more is needed to completely fill the rectangle?

<p>1/3 (B)</p> Signup and view all the answers

To determine if 2/5 and 4/10 are equivalent fractions, what is the most accurate method?

<p>Both A and B. (A)</p> Signup and view all the answers

What is the result of adding $\frac{1}{4}$ and $\frac{2}{8}$, expressed in simplest form?

<p>$\frac{1}{2}$ (B)</p> Signup and view all the answers

If a store offers a $\frac{1}{3}$ discount on an item and you have an additional coupon for $\frac{1}{6}$ off the original price, what is the total discount you receive as a single fraction of the original price?

<p>$\frac{1}{2}$ (A)</p> Signup and view all the answers

In a class, $\frac{2}{5}$ of the students are girls. What fraction of the class are boys?

<p>$\frac{3}{5}$ (B)</p> Signup and view all the answers

What single fraction is equivalent to $\frac{4}{6} - \frac{1}{3}$?

<p>$\frac{1}{3}$ (C)</p> Signup and view all the answers

Flashcards

Equivalent fraction

Find the fraction that represents the same amount as the given fraction.

Fraction equivalence (card 9)

Given a rectangle divided into two parts, identify the equivalent fraction from the choices with the same shaded area.

Fraction equivalence (card 10)

Given a rectangle divided into multiple parts, identify the equivalent fraction from the choices that have the same shaded area.

Fraction equivalence (card 11)

Given a rectangle divided into multiple parts, identify the equivalent fraction from the choices with the same shaded area.

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Fraction equivalence (card 12)

Given a rectangle divided into multiple parts, identify the equivalent fraction from the choices with the same shaded area.

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Study Notes

  • Choose the equivalent fraction in various scenarios.
  • In image 9, one out of two squares are highlighted, and the possible equivalent fractions are options a, b, and c.
  • In image 10, five of the eight squares are highlighted, and the possible equivalent fractions are represented by options a, b, and c.
  • In image 11, four out of five squares are highlighted; equivalent fractions are represented by options a, b, and c.
  • In image 12, five out of six squares are highlighted to choose the equivalent fraction from options a, b, and c.

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