Question

3 : 5/4 - 12 • 1/4 + 1 3/5 • 2​

Answer 1

3 : 5/4 - 12 • 1/4 + 1 3/5 • 2=2,35

Answer 2

To simplify the expression, you should follow the order of operations, which is typically remembered using the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Here's how you can simplify the expression step by step:

1. Start with the multiplication and division:
   • 12 * 1/4 = 3
   • 1 3/5 * 2 = 2 3/5

So, the expression becomes:

3 : 5/4 - 3 + 2 3/5

2. Next, perform the division:
   • 3 : 5/4 = 3 * 4/5 = 12/5

Now, the expression becomes:

12/5 - 3 + 2 3/5

3. Now, add and subtract the fractions and mixed numbers:
   • 12/5 - 3 = (12/5) - (15/5) = -3/5
   • 2 3/5 + (-3/5) = 2 + (-3/5) + 3/5 = 2 - 3/5

Now, you have:

2 - 3/5

4. To subtract a fraction from a whole number, you need to make the whole number a fraction with a common denominator:
   • 2 = 10/5

Now, you have:

10/5 - 3/5

5. Finally, subtract the fractions:
   • (10/5) - (3/5) = 7/5

So, the simplified expression is:

7/5