Converting Fractions to Decimals

Fractions to Decimals

• A fraction can be converted to a decimal by dividing the numerator by the denominator.
• For example, the fraction 3/4 can be converted to a decimal by dividing 3 by 4, which equals 0.75.
• A decimal can be converted to a fraction by finding the equivalent ratio.
• For example, the decimal 0.5 can be converted to a fraction by finding the equivalent ratio, which is 1/2.

Value of a Fraction

• The value of a fraction is determined by the numerator and denominator.
• A fraction with a larger numerator and a smaller denominator has a greater value.
• A fraction with a smaller numerator and a larger denominator has a smaller value.
• Equivalent fractions have the same value, but different forms.

Equation of a Line

• The equation of a line can be written in the form y = mx + b, where:
  • m is the slope (a measure of how steep the line is)
  • b is the y-intercept (the point where the line crosses the y-axis)
  • x is the independent variable
  • y is the dependent variable
• The slope-intercept form is one of the most common forms of a linear equation.
• The equation of a line can also be written in point-slope form or standard form.

Frequency Table

• A frequency table is a table that displays the frequency of each value or category in a dataset.
• The frequency of each value is the number of times it appears in the dataset.
• A frequency table can be used to summarize and organize data.
• It can also be used to calculate the mode, median, and range of a dataset.

Probability

• Probability is a measure of the likelihood of an event occurring.
• It is a number between 0 and 1, where:
  • 0 represents an impossible event
  • 1 represents a certain event
• The probability of an event can be calculated using the formula: P(event) = number of favorable outcomes / total number of outcomes
• Probability can be used to make predictions and estimate the likelihood of an event occurring.

Pie Charts

• A pie chart is a circular graph that displays the proportion of each category in a dataset.
• The pie chart is divided into sections, each representing a category.
• The size of each section is proportional to the frequency or percentage of the category.
• Pie charts are used to display categorical data and to compare the proportions of different categories.
• They can also be used to show how different categories contribute to a whole.

Fractions to Decimals

• Converting a fraction to a decimal involves dividing the numerator by the denominator, e.g., 3/4 = 3 ÷ 4 = 0.75.
• Converting a decimal to a fraction involves finding the equivalent ratio, e.g., 0.5 = 1/2.

Value of a Fraction

• A fraction's value is determined by its numerator and denominator.
• A fraction with a larger numerator and smaller denominator has a greater value.
• A fraction with a smaller numerator and larger denominator has a smaller value.
• Equivalent fractions have the same value but different forms.

Equation of a Line

• The equation of a line can be written in the form y = mx + b, where: • m is the slope (steepness of the line) • b is the y-intercept (point where the line crosses the y-axis) • x is the independent variable • y is the dependent variable
• The slope-intercept form is a common form of a linear equation.
• The equation of a line can also be written in point-slope form or standard form.

Frequency Table

• A frequency table displays the frequency of each value or category in a dataset.
• The frequency of each value is the number of times it appears in the dataset.
• Frequency tables are used to summarize and organize data and to calculate the mode, median, and range of a dataset.

Probability

• Probability measures the likelihood of an event occurring, represented by a number between 0 and 1.
• 0 represents an impossible event, while 1 represents a certain event.
• Probability can be calculated using the formula: P(event) = number of favorable outcomes / total number of outcomes.
• Probability is used to make predictions and estimate the likelihood of an event occurring.

Pie Charts

• A pie chart is a circular graph displaying the proportion of each category in a dataset.
• The pie chart is divided into sections, each representing a category.
• The size of each section is proportional to the frequency or percentage of the category.
• Pie charts are used to display categorical data and compare the proportions of different categories, showing how they contribute to a whole.