Answer
Verified
376.8k+ views
Hint: To multiply the given fraction, first of all we need to change the mixed fraction into improper fraction. Now, we will do the multiplication of fractions in which we will multiply numerator with numerator and denominator with denominator. Since, this is the multiplication with improper fraction; the answer will be improper fraction also. So, we will convert it into a mixed fraction.
Complete step by step answer:
First of all we will check the type of fraction.
So, in the given question $\dfrac{5}{6}\times 2\dfrac{3}{7}$ one fraction is proper fraction and another one is mixed fraction.
Proper fraction$=\dfrac{5}{6}$
Mixed fraction$=2\dfrac{3}{7}$
Now, we will convert the mixed fraction in the improper fraction as:
Improper fraction$=\dfrac{7\times 2+3}{7}=\dfrac{14+3}{7}=\dfrac{17}{7}$
Here, the given question will be:
$\Rightarrow \dfrac{5}{6}\times 2\dfrac{3}{7}=\dfrac{5}{6}\times \dfrac{17}{7}$
Now, we will do multiplication. Numerator will be multiplied with numerator and denominator will be multiplied with denominator as:
$\Rightarrow \dfrac{5\times 17}{6\times 7}$
The product of $5$ and $17$ will be $85$ and the product of $6$ and $7$ will be $42$.
$\Rightarrow \dfrac{85}{42}$
Since, the resultant multiplication is improper fraction. We will convert it into mixed fraction as:
$\Rightarrow 2\dfrac{1}{42}$
Hence, the Multiplying the following fractions $\left( \dfrac{5}{6}\times 2\dfrac{3}{7} \right)$ is $2\dfrac{1}{42}$.
Note: As we know that fraction is a part of the whole number written in the form of \[\dfrac{a}{b}\], where $b\ne 0\text{ and 1}$.
Fraction has three types:
Proper fraction: \[\dfrac{a}{b}\] and $b > a$
Improper fraction: \[\dfrac{a}{b}\] and $b < a$
Mixed fraction: It is written in the form of \[c\dfrac{a}{b}\].
Where, $c$ is a whole number and $b > a$.
Complete step by step answer:
First of all we will check the type of fraction.
So, in the given question $\dfrac{5}{6}\times 2\dfrac{3}{7}$ one fraction is proper fraction and another one is mixed fraction.
Proper fraction$=\dfrac{5}{6}$
Mixed fraction$=2\dfrac{3}{7}$
Now, we will convert the mixed fraction in the improper fraction as:
Improper fraction$=\dfrac{7\times 2+3}{7}=\dfrac{14+3}{7}=\dfrac{17}{7}$
Here, the given question will be:
$\Rightarrow \dfrac{5}{6}\times 2\dfrac{3}{7}=\dfrac{5}{6}\times \dfrac{17}{7}$
Now, we will do multiplication. Numerator will be multiplied with numerator and denominator will be multiplied with denominator as:
$\Rightarrow \dfrac{5\times 17}{6\times 7}$
The product of $5$ and $17$ will be $85$ and the product of $6$ and $7$ will be $42$.
$\Rightarrow \dfrac{85}{42}$
Since, the resultant multiplication is improper fraction. We will convert it into mixed fraction as:
$\Rightarrow 2\dfrac{1}{42}$
Hence, the Multiplying the following fractions $\left( \dfrac{5}{6}\times 2\dfrac{3}{7} \right)$ is $2\dfrac{1}{42}$.
Note: As we know that fraction is a part of the whole number written in the form of \[\dfrac{a}{b}\], where $b\ne 0\text{ and 1}$.
Fraction has three types:
Proper fraction: \[\dfrac{a}{b}\] and $b > a$
Improper fraction: \[\dfrac{a}{b}\] and $b < a$
Mixed fraction: It is written in the form of \[c\dfrac{a}{b}\].
Where, $c$ is a whole number and $b > a$.
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
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE
Which are the Top 10 Largest Countries of the World?
How do you graph the function fx 4x class 9 maths CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Why is there a time difference of about 5 hours between class 10 social science CBSE