Fraction on a Number Line Math Example 5

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Example 5

hard
Point PP is located 74\frac{7}{4} units to the right of 00 on a number line. Point QQ is 12\frac{1}{2} unit to the right of PP. What fraction names the position of QQ?

Solution

  1. 1
    Start at 74\frac{7}{4} and add 12\frac{1}{2}.
  2. 2
    Find LCD of 4 and 2: LCD =4= 4. Convert: 12=24\frac{1}{2} = \frac{2}{4}.
  3. 3
    Add: 74+24=94=214\frac{7}{4} + \frac{2}{4} = \frac{9}{4} = 2\frac{1}{4}.

Answer

Q=94=214Q = \frac{9}{4} = 2\frac{1}{4}
Adding a fraction to a position on the number line is equivalent to fraction addition. Converting to a common denominator first makes the addition straightforward.

About Fraction on a Number Line

Locating and representing a fraction as a precise point on a number line by dividing the unit interval into equal parts.

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More Fraction on a Number Line Examples

Example 1 easy

Describe where [formula] sits on a number line from [formula] to [formula].

Example 2 medium

A number line has tick marks at every [formula] from [formula] to [formula]. At which tick mark does

Example 3 medium

Place [formula] on a number line between 0 and 1. Between which two unit fractions does it fall?

Example 4 easy

A number line from [formula] to [formula] is divided into [formula] equal parts. Which point represe

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