Answer: 6/8 as a fraction simplified in its reduced form is equal to 3/4. Here, we learn how to simplify 6/8 into its simplest form.
What is 6/8 in Simplest Form?
Answer: 6/8 in simplest form is equal to 3/4.
Solution:
Method 1: Division Method
To simplify the fraction 6/8, let us use the division method. In this method, we will divide both 6 and 8 by their greatest common divisor (GCD).
Divisors of 6 are 1, 2, 3 and 6.
Divisors of 8 are 1, 2, 4 and 8.
Therefore, 2 is the greatest common divisor of 6 and 8, that is, GCD(6, 8) = 2.
So divide both 6 and 8 by 2 in order to simplify $\dfrac{6}{8}$.
$\dfrac{6}{8}$ = $\dfrac{6 \div 2}{8 \div 2}$ = $\dfrac{3}{4}$.
Therefore, 3/4 is the simplified form of 6/8 to lowest terms.
Method 2: Prime Factorization Method
To simplify the fraction 6/8 by the prime factorization method, let us write down the prime factorizations of both the numbers 6 and 8.
6 = 2 × 3
8 = 2 × 2 × 2
Next, we cancel the common terms from the top and the bottom. So,
$\dfrac{6}{8}$ = $\dfrac{2 \times 3}{2 \times 2 \times 2}$
= $\dfrac{\cancel{2} \times 3}{\cancel{2} \times 2 \times 2}$, cancelling the common terms.
= $\dfrac{3}{2 \times 2}$
= $\dfrac{3}{4}$.
Hence, 3/4 is the reduced form of 6/8, that is, the lowest terms of 6/8 is 3/4.
Similar Questions:
| Question | Answer |
|---|---|
| What is 6/8 simplified as a fraction? | 6/8 simplified is 3/4. |
| Reduce 6/8 to lowest term | Lowest term of 6/8 is 3/4. |
| Simplify 6/8 | 3/4. |
| 6/8 in simplest form | 3/4 |
| Reduced form of 6/8 | 3/4 |
FAQs
Q1: What is the simplest form of 6/8?
Answer: 3/4 is the simplest form of the fraction 6/8.
Q2: What is 6/8 simplified?
Answer: 6/8 simplified as a fraction is equal to 3/4.