Question

In a toy coin shop, the coins are packed with 4 coins per pack. If Ali buys 21 such coins. Show on a number line how many packets he bought?

• A.
• B.
• C.
• D. None of these

Answer 1

The correct option is A

Number of toy coins bought by Ali $=21$

Number of coins in each pack $=4$

Number of packs bought by Ali $=\frac{21}{4}$

$\frac{21}{4}$ is an improper fraction, to plot a fraction on a number line, we have to convert it into its mixed fraction.

21 can be expressed as $4\times 5+1$
$(\because 4\times 5=20\text{and}20+1=21)$

$\frac{21}{4}=\frac{4\times 5+1}{4}$
$=\frac{4\times 5}{4}+\frac{1}{4}$
$=5+\frac{1}{4}$
$=5\frac{1}{4}$

Hence $\frac{21}{4}=5\frac{1}{4}$

This means an arrow should point at the first division after 5 on a number line. Option A is the correct answer.