Simplifying the Expression: 62/24-4/3 as a Fraction
In this article, we will explore how to simplify the expression 62/24-4/3 as a fraction. To do this, we need to follow the order of operations (PEMDAS) and perform the calculations step by step.
Step 1: Simplify the Fractions
Let's start by simplifying the two fractions separately.
62/24
To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 62 and 24 is 2. Therefore, we can simplify the fraction as:
62 ÷ 2 = 31 24 ÷ 2 = 12
So, the simplified fraction is 31/12.
4/3
This fraction is already in its simplest form.
Step 2: Perform the Subtraction
Now that we have simplified the fractions, we can perform the subtraction.
31/12 - 4/3
To subtract fractions, we need to find a common denominator. The least common multiple (LCM) of 12 and 3 is 12. Therefore, we can convert the second fraction to have a denominator of 12:
4/3 = 16/12
Now we can perform the subtraction:
31/12 - 16/12 = 15/12
Step 3: Simplify the Result
Finally, we can simplify the result by dividing both the numerator and the denominator by their GCD. The GCD of 15 and 12 is 3. Therefore, we can simplify the fraction as:
15 ÷ 3 = 5 12 ÷ 3 = 4
So, the simplified expression 62/24-4/3 as a fraction is 5/4.
In conclusion, by following the order of operations and simplifying the fractions step by step, we can simplify the expression 62/24-4/3 as a fraction to get 5/4.
