Solve Sequential Division: 500÷(2000÷25) Step-by-Step

Question

500:(2000:25)= 500:(2000:25)=

Video Solution

Solution Steps

00:00 Solve
00:03 Division is also multiplication by the reciprocal
00:07 Therefore when opening the parentheses, in the end it will be multiplied by C
00:11 We will use this formula in our exercise
00:15 We will solve according to the order of mathematical operations from left to right
00:22 We will write division as a fraction
00:25 We will reduce zeros and calculate
00:34 We will substitute in our exercise and continue solving
00:38 Make sure to multiply numerator by numerator and denominator by denominator
00:44 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Calculate 2000÷25 2000 \div 25 .
  • Step 2: Calculate 500÷(result from Step 1) 500 \div (\text{result from Step 1}) .

Let's work through each step:

Step 1: Calculate 2000÷25 2000 \div 25 .

2000÷25 2000 \div 25 can be calculated as follows:

Divide 2000 by 25:

2000÷25=80 2000 \div 25 = 80

Step 2: Use the result from Step 1 to perform the division with 500.

Now, calculate 500÷80 500 \div 80 .

500÷80=50080=254=6.25 500 \div 80 = \frac{500}{80} = \frac{25}{4} = 6.25

Finally, 6.25 6.25 can be expressed as a mixed number:

614 6\frac{1}{4}

Therefore, the solution to the problem is 614 6\frac{1}{4} .

Answer

614 6\frac{1}{4}