Convert Decimal 0.3 to Fraction: Step-by-Step Solution

Question

Convert 0.3 into a fraction.

Video Solution

Solution Steps

00:03 Let's convert this decimal into a simple fraction.
00:06 Move the decimal point right until the number becomes whole.
00:10 Remember, for a decimal fraction, the bottom number or denominator, is a power of ten.
00:17 We moved the decimal one place, so we add one zero to the denominator.
00:22 Next, write the digits of the number on the top or numerator.
00:27 And there you have it, that's how you find the solution!

Step-by-Step Solution

To solve this problem, let's convert the decimal 0.3 into a fraction:

  • Step 1: Identify the place value of 0.3.
    Since the decimal 0.3 has one digit after the decimal point, it is in the tenths place. This means that 0.3 is equivalent to 3 tenths, or 310\frac{3}{10}.
  • Step 2: Write the fraction based on the place value:
    The decimal 0.3 is expressed as 310\frac{3}{10}, where 3 is the numerator and 10 is the denominator, reflective of the tenths place.
  • Step 3: Verify the answer using multiple-choice options:
    Among the choices provided, 310\frac{3}{10} is the correct match, which corresponds to choice 3.

Therefore, the correct fraction representation for 0.3 is 310 \frac{3}{10} .

Answer

310 \frac{3}{10}