Convert Mixed Number 2 3/20 to an Improper Fraction

Question

2320= 2\frac{3}{20}=

Video Solution

Step-by-Step Solution

To convert the mixed number 23202\frac{3}{20} to a decimal, we'll focus on converting the fractional part 320\frac{3}{20} first. We want to express it with a denominator of 100, because converting to tenths or hundredths makes it easier to switch to a decimal.

Step 1: Convert 320\frac{3}{20} to have a denominator of 100.

To get a denominator of 100, we find a factor that, when multiplied by 20, gives 100:

20×5=100 20 \times 5 = 100

So, we multiply both the numerator and the denominator of 320\frac{3}{20} by 5:

3×520×5=15100 \frac{3 \times 5}{20 \times 5} = \frac{15}{100}

Step 2: Convert 15100\frac{15}{100} to a decimal. Since 15100\frac{15}{100} is equivalent to 0.15:

15100=0.15 \frac{15}{100} = 0.15

Step 3: Combine with the whole number. The original number 23202\frac{3}{20} becomes:

2+0.15=2.15 2 + 0.15 = 2.15

Therefore, the decimal form of 23202\frac{3}{20} is 2.15\mathbf{2.15}.

Answer

2.15 2.15