Numerator greater than denominator — lesson. Mathematics CBSE, Class 7.

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Let us consider

\frac{6}{4}

and

- \frac{6}{4}

. First, let us plot

\frac{6}{4}

.

Here, the numerator \(6\) is greater than the denominator \(4\).
Then, we have to convert it into a mixed fraction.
A mixed fraction of $\frac{6}{4}$ is $1 \frac{2}{4}$ .
Now, let us draw a number line and plot \(1, -1\) and \(2, -2.\)
Then the number $1 \frac{2}{4}$ has to lie somewhere between \(1\) and \(2\).
Now we divide the length between \(1\) and \(2\) into equal parts.
The Denominator gives us the number of equal parts.
It is \(4\), so we divide it into \(4\) equal parts.

The numerator tells us the number of parts starting from \(1\).
Here, it is \(2\). So we mark the point \(2\) parts away from the \(1\).

Similarly,

- \frac{6}{4}

can be marked using the same procedure because

- \frac{6}{4}

is the corresponding value of

\frac{6}{4}

.

We know that it lies between \(-1\) and \(-2\). So, we divide it into four equal parts and mark \(2\) parts away from the \(-1.\)

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