Convert Mixed Number to Decimal: 3 6/20 Calculation

Question

3620= 3\frac{6}{20}=

Video Solution

Solution Steps

00:00 Convert to decimal fraction
00:03 Break down the number into whole number and fraction
00:08 Reduce the fraction, make sure to divide both numerator and denominator
00:25 Convert to decimal fraction
00:36 Add
00:44 And this is the solution to the problem

Step-by-Step Solution

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

  • Step 1: Convert the fraction 620 \frac{6}{20} to a decimal.
  • Step 2: Add the decimal result to the whole number 3.

Now, let's work through each step:
Step 1: Convert the fraction 620 \frac{6}{20} to a decimal.
Simplify the fraction 620 \frac{6}{20} by dividing the numerator and denominator by 2:
620=310 \frac{6}{20} = \frac{3}{10} .
Convert 310 \frac{3}{10} into a decimal, which is 0.3 0.3 .

Step 2: Add the decimal result to the whole number 3.
We have the whole number 3 and the decimal 0.3; add them together:
3+0.3=3.3 3 + 0.3 = 3.3 .

Therefore, when converted to a decimal, 3620 3\frac{6}{20} equals 3.3 3.3 .

Therefore, the solution to the problem is 3.3 \text{3}.3 .

Answer

3.3 \text{3}.3