Question

Express 42 seconds as a percent of 6 minutes.

Answer 1

Hint: We are asked to calculate a value in seconds as a percent of a value in minutes. For that first we need to convert the given value in minutes to seconds. Later divide the value that we need to express by the converted value and multiply it with 100. Thus we will get the solution.

Complete step-by-step answer:
In the question we are asked to express 42 seconds as a percent of 6 minutes.
Here we have 6 minutes.
We know that 1 minute is 60 seconds.
Hence 6 minutes will be 6 times 60 seconds. This can be written as,
$6\min =6\times 60=360\sec $
Therefore there are 360 seconds in 6 minutes.
Now we need to express 42 seconds out of 360 seconds.
We know that to express a value in percentage, we need to multiply the value with 100.
Therefore we get,
\[\Rightarrow \dfrac{42}{360}\times 100\]
By eliminating one zero each from numerator and denominator we get,
$\Rightarrow \dfrac{42}{36}\times 10$
We can simplify $\dfrac{42}{36}$ into $\dfrac{7}{6}$. Thus,
$\Rightarrow \dfrac{7}{6}\times 10$
By calculating this we get,
$\Rightarrow 11.66%$
Therefore 42 seconds is 11.66% of 6 minutes or of 360 seconds.
Additional information:
Here we convert the value in minutes into seconds.
Instead we can also convert the value in seconds to minutes. This way also we will get the same solution.
We know that 1 second is $\dfrac{1}{60}$ minutes.
Therefore 42 seconds will be,
$\dfrac{42}{60}\min $
For expressing this as a percent of 6 minutes,
$\left( \dfrac{\dfrac{42}{60}}{6} \right)\times 100$
$\Rightarrow \dfrac{0.7}{6}\times 100$
By solving this we get,
$\Rightarrow 11.66%$
Hence we get the same solution.

Note: Percentage is simply a number or a ratio which represents a fraction of 100. It is also defined as any number we express as a part of a whole, i.e. 100.
One percent is one by hundredth of a whole. It is expressed as both fraction and decimal and is usually denoted using the ‘%’ symbol.