Question

4/25: (12/25-4/15) +15/16 *4/15

Answer 1

Відповідь:

3/4

Покрокове пояснення:

4/25*75/24+1/4=

=1/2+1/4=3/4

Answer 2

To solve the expression, follow the order of operations (PEMDAS/BODMAS):

1. Parentheses/Brackets (Innermost expressions first)
2. Exponents/Orders (if any)
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

Let's solve step-by-step:

Step 1: Evaluate the expression within parentheses: (12/25 - 4/15)

To perform this operation, we need a common denominator, which is 75: (12/25) - (4/15) = (12/25) - (4/15) * (5/5) = (12/25) - (20/75) = (12/25) - (4/15) = (12 * 3)/(25 * 3) - (4 * 5)/(15 * 5) = 36/75 - 20/75 = (36 - 20)/75 = 16/75

Step 2: Now, let's substitute the result back into the main expression: 4/25 * (16/75) + (15/16 * 4/15)

Step 3: Perform the multiplication: (4/25) * (16/75) = (4 * 16)/(25 * 75) = 64/1875

Step 4: Evaluate the remaining expression: 64/1875 + (15/16 * 4/15)

Step 5: Perform the multiplication: (15/16) * (4/15) = (15 * 4)/(16 * 15) = 60/240 = 1/4

Step 6: Evaluate the final expression: 64/1875 + 1/4

To add these fractions, we need a common denominator, which is 1875: 64/1875 + 1/4 * (1875/1875) = 64/1875 + 1875/7500

Now, we need a common denominator of 7500: 64/1875 * (4/4) + 1875/7500 = 64/1875 * 4/4 + 1875/7500 = 256/7500 + 1875/7500

Now, we can add the fractions: 256/7500 + 1875/7500 = (256 + 1875)/7500 = 2131/7500

The final answer is 2131/7500.