Courses
Courses for Kids
Free study material
Offline Centres
More
Store

# How do you write the fraction $\dfrac{{48}}{{56}}$ in simplest form?

Last updated date: 15th Jun 2024
Total views: 372.9k
Views today: 9.72k
Verified
372.9k+ 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
$\Rightarrow 2 \times 2 \times 2 = 8$
$\Rightarrow \dfrac{{48}}{{56}}$
$\Rightarrow \dfrac{{8 \times 6}}{{8 \times 7}} \\ \Rightarrow \dfrac{6}{7} \\$