For example:
\(\dfrac{2}{3}\begin{matrix} \longrightarrow\text{Numerator}\\ \;\;\,\longrightarrow\text{Denominator} \end{matrix}\)
Since \(2\) is smaller than \(3\), therefore \(\dfrac {2}{3}\) is a proper fraction.
A \(\dfrac {3}{2}\)
B \(\dfrac {4}{3}\)
C \(\dfrac {1}{2}\)
D \(\dfrac {7}{2}\)
For example:
\(\dfrac {1}{2},\,\dfrac {1}{3},\,\dfrac {1}{8},\,\dfrac {1}{11}\) are unit fractions.
A \(\dfrac {3}{1}\)
B \(\dfrac {1}{3}\)
C \(\dfrac {4}{5}\)
D \(\dfrac {3}{2}\)
For example:
\(\dfrac{2}{3}\begin{matrix} \longrightarrow\text{Numerator}\\ \;\;\,\longrightarrow\text{Denominator} \end{matrix}\)
Since \(2\) is smaller than \(3\), therefore \(\dfrac {2}{3}\) is a proper fraction.
'how many pizza slices are left for Ronnie's sister?'
Consider figure b_{2} for the remaining pizza slices.
\(\therefore\) In fraction, we can represent it as-
\(\dfrac{3}{4}\)
Now, in \(\dfrac{3}{4}\), the numerator 3 is less than the denominator 4.
Thus, \(\dfrac{3}{4}\) is a proper fraction.
A \(\dfrac{1}{4}\)
B \(\dfrac{1}{8}\)
C \(\dfrac{3}{4}\)
D \(\dfrac{3}{8}\)
A unit fraction is a fraction in which the numerator is \(1\).
For example: \(\dfrac {1}{2},\dfrac {1}{3},\dfrac {1}{8},\dfrac {1}{11}\) are unit fractions.
Let us consider \(\dfrac {1}{b}\) as a unit fraction.
To represent \(\dfrac {1}{b}\) on a number line:
For example: Represent \(\dfrac {1}{5}\) on a number line.
Step 1 : Define the interval from \(0\) to \(1\).
Step 2 : Divide it into 5 equal parts.
Step 3 : Size of each part is \(\dfrac {1}{5}\).
Step 4 : By observing the number line, we can say that the distance from \(0\) to point \(\dfrac {1}{5}\) represents the unit fraction.
For example:
\(\dfrac{5}{2}\begin{matrix} \longrightarrow\text{Numerator}\\ \;\;\,\longrightarrow\text{Denominator} \end{matrix}\)
\(\therefore\;\dfrac{5}{2}\) is an improper fraction.
A \(\dfrac{12}{5}\)
B \(\dfrac{6}{7}\)
C \(\dfrac{3}{5}\)
D \(\dfrac{13}{15}\)
For example: \(\dfrac{5}{2}\)
\(5\) is larger than \(2.\)
\(\therefore\;\dfrac{5}{2}\) is an improper fraction.
\(\therefore\) We have five quarters, i.e., \(\dfrac{5}{4}\)
Thus, it is an improper fraction.
\(\therefore\) We have five quarters, i.e., \(\dfrac{5}{4}\)
Thus, it is an improper fraction.
\(\dfrac{5}{4}=\dfrac{4}{4}+\dfrac{1}{4}\)
\(1+\dfrac{1}{4}\)
A \(\dfrac{16}{25}\)
B \(\dfrac{15}{8}\)
C \(\dfrac{4}{64}\)
D \(\dfrac{64}{15}\)
To represent the fraction \(\dfrac {a}{b}\) on a number line:
For example: Represent \(\dfrac {3}{4}\) on a number line.
Step 1: Define the interval from 0 to 1.
Step 2: Divide the interval into 4 equal parts.
Step 3 : The size of each part is \(\dfrac {1}{4}\).
Step 4: Thus, \(\dfrac {3}{4}\) represents the combined length of \(3\) parts.
Here,
\(\dfrac {0}{4}+\dfrac {1}{4} =\dfrac {1}{4}\)
\(\dfrac {1}{4}+\dfrac {1}{4} =\dfrac {2}{4}\)
\(\dfrac {1}{4}+\dfrac {1}{4}+\dfrac {1}{4} =\dfrac {3}{4}\)
\(\dfrac {1}{4}+\dfrac {1}{4}+\dfrac {1}{4}+\dfrac {1}{4} =\dfrac {4}{4}=1\)
Step 5: The resulting number line representation is: