Question

3 3/8∗3 1/5+3 1/5∗1 5/12−4 1/6∗3 1/5=

Answer 1

Ответ в прикрепленном фото

Answer 2

To solve this expression, we can follow the order of operations (PEMDAS/BODMAS) which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Given expression:

3 3/8 * 3 1/5 + 3 1/5 * 1 5/12 - 4 1/6 * 3 1/5

Step 1: Convert mixed numbers to improper fractions.

• 3 3/8 = 3 + 3/8 = 24/8 + 3/8 = 27/8
• 3 1/5 = 3 + 1/5 = 15/5 + 1/5 = 16/5
• 1 5/12 = 1 + 5/12 = 12/12 + 5/12 = 17/12
• 4 1/6 = 4 + 1/6 = 24/6 + 1/6 = 25/6
• 3 1/5 = 16/5 (already converted)

Step 2: Perform the multiplications and divisions.

• 27/8 * 16/5 = (27 * 16) / (8 * 5) = 432 / 40 = 54/5
• 16/5 * 17/12 = (16 * 17) / (5 * 12) = 272 / 60 = 34/15
• 25/6 * 16/5 = (25 * 16) / (6 * 5) = 400 / 30 = 40/3

Step 3: Perform the additions and subtractions.

• 54/5 + 34/15 - 40/3

To add fractions, they need a common denominator. The least common multiple of 5, 15, and 3 is 15.

• Adjust the fractions:
  • 54/5 = (54/5) * (3/3) = 162/15
  • 34/15 = 34/15
  • 40/3 = (40/3) * (5/5) = 200/15

Now the expression becomes:

• 162/15 + 34/15 - 200/15

• (162 + 34 - 200) / 15 = -4/15

So, the value of the given expression is -4/15.