Answer
Verified
446.7k+ views
Hint: We know that there are 7 days in a week and we have to find how many days are there in $\dfrac{3}{7}$ of a week so $\dfrac{3}{7}$ of a week means we have to multiply $\dfrac{3}{7}$ by 7 to get the number of days in a week. Now, solve this fraction and then match your answer from the options given in the above question. We have put 1 week in place for 7 days because we want answers in days.
Complete step-by-step answer:
We have to fill in the blank:
$\dfrac{3}{7}$ of a week = ……….. days
The above fill in the blank means that we have to find the number of days that $\dfrac{3}{7}$ of a week contains.
We know that there are 7 days in a week. So if we put 7 days in place of “a week” in the given question we get,
$\dfrac{3}{7}$ of (7 days)
The mathematical formulation of the above expression we get,
$\dfrac{3}{7}\times \left( 7days \right)$
As you can see that in the above expression, 7 is written in the numerator and denominator so 7 will be cancelled out and our expression is reduced to:
$\begin{align}
& \dfrac{3}{1}\times \left( 1day \right) \\
& =3days \\
\end{align}$
The above solution has given us $\dfrac{3}{7}$ of a week for 3 days so the blank in the above question contains the number 3.
So, the correct answer is “Option b”.
Note: This question demands knowledge about the number of days in a week. If you know the number of days in a week then the question is just a cup of tea.
One more thing, you might get a question which is vice versa of this problem that you have given 3 days and asked you to find which fraction of a week does 3 days contain.
Then you have to divide 3 by 7 to get the fraction of a week that 3 days has:
$\dfrac{3}{7}$
Complete step-by-step answer:
We have to fill in the blank:
$\dfrac{3}{7}$ of a week = ……….. days
The above fill in the blank means that we have to find the number of days that $\dfrac{3}{7}$ of a week contains.
We know that there are 7 days in a week. So if we put 7 days in place of “a week” in the given question we get,
$\dfrac{3}{7}$ of (7 days)
The mathematical formulation of the above expression we get,
$\dfrac{3}{7}\times \left( 7days \right)$
As you can see that in the above expression, 7 is written in the numerator and denominator so 7 will be cancelled out and our expression is reduced to:
$\begin{align}
& \dfrac{3}{1}\times \left( 1day \right) \\
& =3days \\
\end{align}$
The above solution has given us $\dfrac{3}{7}$ of a week for 3 days so the blank in the above question contains the number 3.
So, the correct answer is “Option b”.
Note: This question demands knowledge about the number of days in a week. If you know the number of days in a week then the question is just a cup of tea.
One more thing, you might get a question which is vice versa of this problem that you have given 3 days and asked you to find which fraction of a week does 3 days contain.
Then you have to divide 3 by 7 to get the fraction of a week that 3 days has:
$\dfrac{3}{7}$
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Which are the Top 10 Largest Countries of the World?
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Difference Between Plant Cell and Animal Cell
Give 10 examples for herbs , shrubs , climbers , creepers
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
How do you graph the function fx 4x class 9 maths CBSE
Write a letter to the principal requesting him to grant class 10 english CBSE