Question

3 3/11:18+100:25/36-5 1/6:1 1/30

Answer 1

Ответ:

1) 3 3/11:18=36/11*1/18=2/11

   100:25/36=100*36/25=144

   5 1/6:1 1/30=31/6:31/30=31/6*30/31=5

   2/11+144-5=139целых2/11

Пошаговое объяснение:

Answer 2

To solve the expression "3 3/11:18+100:25/36-5 1/6:1 1/30," you can follow the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction) to simplify it step by step.

Here's the breakdown of the expression:

1. Start by simplifying the fractions:

   • 3 3/11 = (3 * 11 + 3)/11 = (33 + 3)/11 = 36/11
   • 100:25/36 = 100 / (25/36) = 100 * (36/25) = 144

2. Now rewrite the expression with the simplified values:

   • 36/11 + 144 - 5 1/6:1 1/30

3. Perform the division and addition from left to right:

   • 36/11 + 144 - 5 1/6:1 1/30
   • (36/11 + 144) - 5 - 1/30

4. Continue simplifying:

   • (36/11 + 144) - 5 - 1/30
   • (36/11 + 144) - 150/30
   • (36/11 + 144) - 5

5. Now, add 36/11 to 144:

   • (36/11 + 144) - 5
   • (36/11 + 144 * 11/11) - 5
   • (36/11 + 1584/11) - 5
   • (36 + 1584)/11 - 5
   • 1620/11 - 5

6. Finally, subtract 5 from 1620/11:

   • 1620/11 - 5
   • (1620 - 55)/11
   • 1565/11

So, the simplified value of the expression is 1565/11.