Math

• What fraction represents the shaded portion of the third circle?

  1/2
• What fraction represents the shaded portion of the second circle?

  2/5
• What does the numerator in a fraction indicate?

  How many parts we have
• What fraction represents the shaded portion of the first circle?

  1/4
• What is the first step to convert a decimal to a percentage?

  Multiply the decimal by 100
• How is 50% represented as a fraction?

  $\frac{50}{100} =$$\frac{1}{2}$
• What is the relationship between percentages, fractions, and decimals?


  • Percentages are fractions of 100
  • Percentages can be converted to decimals
• If the radius of the first circle is $r =$$5\text{ cm}$, what is the area of the shaded portion?


  $\frac{\pi r^2}{4} =$$\frac{25\pi}{4} \text{ cm}^2$
• What fraction represents the shaded portion of the third circle?

  1/2
• What is the simplified form of $\frac{75}{100}$?


  $\frac{3}{4}$
• What does the denominator in a fraction indicate?

  How many equal parts the whole is divided into
• What fraction represents the shaded portion of the fourth circle?

  3/4
• What is the purpose of a decimal point?

  To separate whole numbers from fractions
• What does the diagram represent in relation to decimals?

  • It shows decimal values:
  • 1
  • 0.5
  • 0.25
  • 0.75
• What is the denominator when writing a percentage as a fraction?

  100
• What is a percentage?

  A number expressed as a fraction of 100
• Why do you multiply the decimal result by 100 when converting a fraction to a percentage?


  To express the decimal as a percentage
• How do the fractions $\frac{1}{4}$ and $\frac{3}{4}$ differ in terms of their representation of a whole?


  $\frac{1}{4}$ shows one part, $\frac{3}{4}$ shows three parts
• What does a fraction represent?

  Part of a whole
• What are the names and values of decimal places?

  • Ones: 1
  • Tenths: $\frac{1}{10}$ (0.1)
  • Hundredths: $\frac{1}{100}$ (0.01)
• What does a decimal show?

  A part of a whole
• If the radius of the second circle is $r =$$6\text{ cm}$, what is the area of the shaded portion?


  $\frac{2\pi r^2}{5} =$$\frac{72\pi}{5} \text{ cm}^2$
• How do fractions like $\frac{1}{4}$ and $\frac{3}{4}$ represent parts of a whole?


  • $\frac{1}{4}$: Represents one part of four equal parts
  • $\frac{3}{4}$: Represents three parts of four equal parts
• What is the top number in a fraction called?

  Numerator
• What are the percentage equivalents of the following fractions?

  1. $\frac{3}{4}$
  2. $\frac{1}{5}$
  3. $\frac{7}{20}$

  4. $\frac{3}{4} =$$75\%$
  5. $\frac{1}{5} =$$20\%$
  6. $\frac{7}{20} =$$35\%$
• What is the fraction equivalent of $75$?


  $\frac{3}{4}$
• What is the decimal equivalent of $\frac{2}{3}$?


  0.6667
• How is 0.75 expressed as a fraction?

  It is equivalent to $\frac{75}{100}$
• Why do we simplify the fraction after converting a percentage?

  To express it in its simplest form
• What is the fraction equivalent of $20$?


  $\frac{1}{5}$
• What is the fraction equivalent of $125$?


  $\frac{5}{4}$
• What is the first step to convert a percentage to a fraction?

  Write the percentage as a fraction with 100
• What does multiplying a decimal by 100 achieve in conversion?

  It converts the decimal to a percentage
• How can you approximate $33.33$ as a fraction?


  $\frac{1}{3}$
• How does the division process relate to fractions and decimals?

  • Converts part of a whole representation
  • Transforms fractions into equivalent decimal forms
• What is the first step to convert a fraction to a decimal?

  Divide the numerator by the denominator
• What is the decimal equivalent of $\frac{1}{2}$?


  0.5
• What percentage does the decimal 0.4 convert to?

  40%
• What is the purpose of converting percentages to fractions?

  • To express a percentage as a ratio
  • To understand the fractional part of the whole
• If you have a decimal of 0.75, what is the percentage?

  75%