Answer
398.4k+ views
Hint: A fraction is in simplest form when the top and bottom cannot be any smaller, while still being whole numbers. The number on the top of the line is called the numerator… it shows the total divisible number of equal parts which are there in a collection. The number below the line is called the denominator. It shows the total divisible number of equal parts the whole into or the total number of equal parts which are there in a collection.
To simplify a fraction: divide the top and bottom by the greatest number that will divide both numbers exactly (they must stay whole numbers).
Complete step-by-step solution:
To write the fraction $\dfrac{{48}}{{56}}$ in simplest form, we need to divide the numerator and denominator, by their GCD (Greatest Common Divisor)
As prime factors of $48$are
$
48 = 2 \times 2 \times 2 \times 2 \times 3 \\
56 = 2 \times 2 \times 2 \times 7 \\
$
Common factors are $2 \times 2 \times 2$ and GCD is
$\Rightarrow 2 \times 2 \times 2 = 8$
$\Rightarrow \dfrac{{48}}{{56}}$
$
\Rightarrow \dfrac{{8 \times 6}}{{8 \times 7}} \\
\Rightarrow \dfrac{6}{7} \\
$
Additional Information:
A fraction is not a whole number but a number in between the whole numbers. It is a part of a whole. Also, a fraction has two parts-a numerator and a denominator. When the numerator and the denominator can no longer be reduced to any smaller number separately, we get the fraction in its simplest form.
Note: To find the an accurate answer
Steps for finding the simplest form:
i) Search for common factors in the numerator and denominator.
ii) Check whether one of the numbers in the fraction is a prime number.
iii) Divide by a fraction equivalent to 1
To simplify a fraction: divide the top and bottom by the greatest number that will divide both numbers exactly (they must stay whole numbers).
Complete step-by-step solution:
To write the fraction $\dfrac{{48}}{{56}}$ in simplest form, we need to divide the numerator and denominator, by their GCD (Greatest Common Divisor)
As prime factors of $48$are
$
48 = 2 \times 2 \times 2 \times 2 \times 3 \\
56 = 2 \times 2 \times 2 \times 7 \\
$
Common factors are $2 \times 2 \times 2$ and GCD is
$\Rightarrow 2 \times 2 \times 2 = 8$
$\Rightarrow \dfrac{{48}}{{56}}$
$
\Rightarrow \dfrac{{8 \times 6}}{{8 \times 7}} \\
\Rightarrow \dfrac{6}{7} \\
$
Additional Information:
A fraction is not a whole number but a number in between the whole numbers. It is a part of a whole. Also, a fraction has two parts-a numerator and a denominator. When the numerator and the denominator can no longer be reduced to any smaller number separately, we get the fraction in its simplest form.
Note: To find the an accurate answer
Steps for finding the simplest form:
i) Search for common factors in the numerator and denominator.
ii) Check whether one of the numbers in the fraction is a prime number.
iii) Divide by a fraction equivalent to 1
Recently Updated Pages
Mark and label the given geoinformation on the outline class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
When people say No pun intended what does that mea class 8 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Name the states which share their boundary with Indias class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give an account of the Northern Plains of India class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Advantages and disadvantages of science
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Bimbisara was the founder of dynasty A Nanda B Haryanka class 6 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
10 examples of evaporation in daily life with explanations
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
How do you graph the function fx 4x class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)