Question

Rani studies Mathematics for $1\dfrac{3}{5}$ hours daily. How many hours does she spend in a week?

Answer 1

Hint: First convert the time from mixed fraction to improper fraction by multiplying the whole number part with the denominator and adding numerator with the resultant. Then, for total time spend on studying Mathematics in a week multiply the time spend by her in a day with 7. After that convert the time into a mixed fraction.

Complete step by step answer:
Given:- Rani studies Mathematics for $1\dfrac{3}{5}$ hours daily.
Let the total hours she spends in a week be $x$.
Now, change the time from mixed fraction to improper fraction by multiplying the whole number part with the denominator and adding numerator with the resultant,
$\Rightarrow 1\dfrac{3}{5}=\dfrac{1\times 5+3}{5}$
Multiply and add the terms,
$\Rightarrow 1\dfrac{3}{5}=\dfrac{8}{5}$
For the time spend by her studying Mathematics in a week, multiply the time spent by her in a day with 7,
$\Rightarrow x=7\times \dfrac{8}{5}$ hr
Multiply the terms on the right side,
$\Rightarrow x=\dfrac{56}{5}$ hr
Now convert the improper fraction into a mixed fraction by dividing the numerator by denominator and write down the whole number and remainder as the numerator.
$\Rightarrow x=\dfrac{55}{5}+\dfrac{1}{5}$hr
Cancel out the common factor,
$\Rightarrow x=11\dfrac{1}{5}$hr

Hence, the total time spends on studying Mathematics is $11\dfrac{1}{5}$ hr.

Note:
The students might make mistakes by not converting the mixed fraction into improper fraction which will lead to wrong or lengthy calculation.
The word fraction derives from the Latin word “Fractus” meaning broken. It represents a part of a whole, consisting of several equal parts out of a whole.
There are 3 types of fractions:-
Proper fractions: - It represents a part of a whole. The numerator is smaller than the denominator.
Improper fractions: - It has a numerator that is greater than or equal to the denominator.
Mixed fractions: - It is a combination of a whole number and a proper fraction.