# 4/8 Simplified as a Fraction, 4/8 in Simplest Form

4/8 simplified as a fraction is equal to 1/2. Here we learn to simplify 4/8 in its simplest form, that is, we will reduce 4/8 to its lowest terms.

## What is 4/8 in Simplest Form

Answer: The fraction 4/8 in simplest form is equal to 1/2.

Solution:

[Division Method]: Let us simplify the fraction 4/8 by the division method. Thus, we will divide both 4 and 8 by their greatest common divisor (gcd).

We know that gcd(4, 8) = 4.

So dividing both top and bottom of 4/8 by gcd(4, 8) = 4, we get that

$\dfrac{4}{8}$ = $\dfrac{4 \div 4}{8 \div 4}$ = $\dfrac{1}{2}$.

Therefore, 1/2 is equal to the fraction 4/8 in simplest form.

Note: As the ratio 4:8 is the fraction 4/8, so we can say that 1:2 is the simplified form of 4:8.

## Reduce 4/8 to Lowest Terms

Answer: Reduced form of 4/8 to lowest terms is equal to 1/2.

Solution:

[Prime Factorization Method]: Let us now reduce the fraction 4/8 to its lowest terms by the prime factorization method. The prime factorizations of 4 and 8 are given below:

4 = 2 × 2

8 = 2 × 2 × 2

Therefore,

$\dfrac{4}{8}$ = $\dfrac{2 \times 2}{2 \times 2 \times 2}$

= $\dfrac{\cancel{2 \times 2}}{\cancel{2 \times 2} \times 2}$, cancelling the common terms.

= $\dfrac{1}{2}$

So 4/8 simplified to lowest terms is 1/2.