• TOC
  • Courses
  • Blog
  • Twitch
  • Shop
  • Search
    • Courses
    • Blog
    • Subreddit
    • Discord
    • Log in
    • Sign up
    • ▾7th grade
      • ▸Integers
        • •Adding integers
        • •Subtracting integers
        • •Negative Fibonacci numbers
        • •Distance between two numbers
        • •Multiplying integers
        • •Dividing integers
        • •Equivalent expressions with negative numbers
      • ▾Fractions, decimals, and percentages
        • •Multi-step problems
        • •Percents
        • •Negative signs in fractions
        • •Simplifying complex fractions without variables
        • •Dividing by zero
        • •Converting fractions to decimals
      • ▸Rates and proportional relationships
        • •Rates with fractions
        • •Interpreting graphs of proportional relationships
        • •Constants of proportionality
        • •Writing proportional equations
        • •Solving proportions using equivalent fractions
        • •Solving proportions using inverse operations and by cross multiplying
      • ▸Expressions, equations, and inequalities
        • •Interpreting linear expressions
        • •Solving two-step equations
        • •Mentally solving certain two-step equations
        • •Solving and graphing two-step inequalities
        • •Distributing, factoring, and combining like terms
      • ▸Geometry (grade 7)
        • •Angles around a point
        • •Complementary and supplementary angles
        • •Vertical angles theorem
        • •Finding the midpoint on the number line
        • •Intro to circles and \(\pi\)
        • •Area of an obtuse triangle
        • •Area of a regular polygon
        • •Area, volume, and surface area
        • •Circumference and area of a circle
        • •Volume of extruded figures
        • •Cross sections
        • •Platonic solids
        • •Precursor to the triangle inequality
        • •Scale drawings
      • ▸Statistics and probability (grade 7)
        • •Intro to probability
        • •Simple events
        • •Compound probability of independent events
        • •Comparing distributions
        • •Probability models
        • •Theoretical and experimental probability
        • •Representative samples
     › 7th grade › Fractions, decimals, and percentages

    Converting fractions to decimals

    Students will learn how to convert fractions to decimals, either terminating or repeating, whatever the case may be. They'll start by converting fractions to terminating decimals, as seen here. Then students will convert fractions to repeating decimals. Certain fractions, some terminating and some repeating, can be converted mentally. At least, students should be able to mentally convert any fraction of the form \(x/2,\) \(x/3,\) \(x/4,\) \(x/5,\) or \(x/10^n,\) where \(x\) and \(n\) are fixed whole numbers. For fractions of the form \(x/10^n,\) students can start by moving the decimal on paper, as seen here. Once they're comfortable with moving the decimal on paper, they should be able to do this mentally. Then students should practice mentally converting fractions to decimals, when it's easy to convert the denominator to a power of 10. For example, \(19/5 = 38/10 = 3.8.\)

    Next, give your students these challenges:

    • A Repeating Decimal Equation by blackpenredpen
    • The Hare and the Tortoise by NRICH
    • Money Bags by NRICH

    Conclude by leading this investigation:

    Area and Perimeter of Polyanimals
    by MathPickle

    Lessons and practice problems