6/8 Minus 1/4 As A Fraction

3 min read Jul 27, 2024
6/8 Minus 1/4 As A Fraction

6/8 minus 1/4 as a Fraction

To evaluate the expression 6/8 minus 1/4, we need to perform the subtraction operation between the two fractions. However, before we can do that, we need to ensure that the denominators of the two fractions are the same.

Simplifying the Fractions

The first step is to simplify the fractions. To do this, we can divide both the numerator and the denominator of each fraction by their greatest common divisor (GCD).

For the fraction 6/8, the GCD of 6 and 8 is 2. Therefore, we can simplify the fraction as follows:

6 ÷ 2 = 3 8 ÷ 2 = 4

So, the simplified fraction is 3/4.

For the fraction 1/4, there is no need to simplify it further since it is already in its simplest form.

Finding a Common Denominator

Now that we have simplified the fractions, we need to find a common denominator between the two fractions. In this case, the least common multiple (LCM) of 4 and 4 is 4. Therefore, we can rewrite the fractions with a common denominator of 4:

3/4 - 1/4

Performing the Subtraction

Now that we have the fractions with a common denominator, we can perform the subtraction operation:

3/4 - 1/4 = 2/4

Simplifying the Result

Finally, we can simplify the result by dividing both the numerator and the denominator by their GCD, which is 2.

2 ÷ 2 = 1 4 ÷ 2 = 2

So, the final result is:

1/2

Therefore, 6/8 minus 1/4 as a fraction is equal to 1/2.

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