Solve Mixed Number Expression: 5 40/200 Step-by-Step

Question

540200= 5\frac{40}{200}=

Video Solution

Solution Steps

00:00 Convert to decimal fraction
00:03 Break down the number into whole number and fraction
00:07 We want the denominator to be some multiple of 10
00:13 Reduce the fraction, make sure to divide both numerator and denominator
00:25 Convert from fraction to decimal fraction
00:35 Add
00:46 And this is the solution to the question

Step-by-Step Solution

To solve 540200 5\frac{40}{200} , we will simplify the fraction first and convert it to a decimal:

Step 1: Simplify the fraction 40200 \frac{40}{200} .

The greatest common divisor (GCD) of 40 and 200 is 40.

Divide the numerator and the denominator by 40:

  • 40÷40200÷40=15 \frac{40 \div 40}{200 \div 40} = \frac{1}{5} .

Step 2: Convert 15 \frac{1}{5} to a decimal.

To convert 15 \frac{1}{5} to a decimal, divide 1 by 5, which gives 0.2.

Step 3: Calculate 5+0.2 5 + 0.2 .

5+0.2=5.2 5 + 0.2 = 5.2 .

Thus, the solution to the problem is 5.2 5.2 .

Answer

5.2 5.2