Convert Fraction to Decimal: Finding the Decimal Value of 3/20

Question

Convert 320 \frac{3}{20} into a decimal.

Video Solution

Step-by-Step Solution

To solve this problem, we'll utilize multiplication to simplify the conversion process:

  • Step 1: Begin with 320 \frac{3}{20} .
  • Step 2: Identify that multiplying 320 \frac{3}{20} by 55 \frac{5}{5} (which is 1, thus does not change the value) will yield a fraction with a denominator of 100: 3×520×5=15100 \frac{3 \times 5}{20 \times 5} = \frac{15}{100} .
  • Step 3: A denominator of 100 allows straightforward conversion to decimal, with 15100=0.15 \frac{15}{100} = 0.15 .

Therefore, the fraction 320 \frac{3}{20} converts to a decimal as 0.15.

This calculation aligns with the answer choice provided, making option : 0.15 the correct one.

Answer

0.15