In order to reduce a fraction to its lowest terms, divide both numerator and denominator by their common factor.

$\frac{\frac{13860}{10}}{\frac{18480}{10}}=\frac{1386}{1848}$

$\frac{\frac{1386}{3}}{\frac{1848}{3}}=\frac{462}{616}$

$\frac{\frac{462}{11}}{\frac{616}{11}}=\frac{42}{56}$

$\frac{\frac{42}{7}}{\frac{56}{7}}=\frac{6}{8}=\frac{3}{4}$

$3\frac{a}{4}$ is a mixed fraction.

$3\frac{a}{4}=$  $\frac{(3\times 4)+a}{4}=$  $\frac{12+a}{4}$

Given, $\frac{(12+a)}{4}$ = $\frac{15}{4}$

Comparing the numerator gives, (12 + a) =15

Therefore, a = (15 - 12) = 3

One fraction exisiting between $\frac{a}{b}$ and $\frac{c}{d}$ is $\frac{a+c}{b+d}$.

Here, we have to insert a fraction between $\frac{2}{9}$​ and $\frac{6}{19}$​.

$\text{a = 2, b = 9, c = 6 and d = 19}$

One fraction exisiting between them is: $\frac{2+6}{9+19}$ = $\frac{8}{28}$

Decimal numbers having the same number of decimal places, i.e. decimals having the same number of digits on the right of the decimal point, are known as like decimals.

In the option with the numbers 9865.4946 and 28.4900, both decimal numbers have 4 digits in the decimal place.

Therefore, they are like decimals.
The rest of the options do not have same number of decimal places.

A very important property of decimals is that adding zeros after the last digit of the decimal part of any decimal number does not change the value of the decimal.

Hence, 
$10.0101$, $10.01010$ and 
$0.1010$, $0.1010000$ are the right options

Answer: 1 Mark
Let the number be x

Given $\frac{x\times \frac{1}{6}}{5}$ = 1

Hence, x = 30

The least value of the  number is 30

Steps: 1 Mark
Answer: 1 Mark
3.2 km = 3200 metres
Given that

Distance covered in 16 seconds = 3200 metres

Distance covered in 1 second = (3200$÷$16)

 = 200 metres.

1 minute = 60 seconds

Distance covered in 1 minute $=60\times 200$

 $=12000m$
The distance covered in 1 minute is 12000 metres.