Answer

Verified

375.6k+ 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

Recently Updated Pages

Differentiate between Shortterm and Longterm adapt class 1 biology CBSE

How do you find slope point slope slope intercept standard class 12 maths CBSE

How do you find B1 We know that B2B+2I3 class 12 maths CBSE

How do you integrate int dfracxsqrt x2 + 9 dx class 12 maths CBSE

How do you integrate int left dfracx2 1x + 1 right class 12 maths CBSE

How do you find the critical points of yx2sin x on class 12 maths CBSE

Trending doubts

Difference Between Plant Cell and Animal Cell

The Buddhist universities of Nalanda and Vikramshila class 7 social science CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Name 10 Living and Non living things class 9 biology CBSE

Which are the Top 10 Largest Countries of the World?

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Write a letter to the principal requesting him to grant class 10 english CBSE

Who founded the Nalanda University 1 Mauryan 2 Guptas class 6 social science CBSE