Math Problem Statement

0.6 ÷ 3 = 0.2 (changed into fraction)

Solution

The equation written in the image appears to be:

0.6÷3=0.20.6 \div 3 = 0.2

It also includes a note that says "changed into fraction."

Let me break it down:

  • The equation 0.6÷3=0.20.6 \div 3 = 0.2 is correct. If you divide 0.6 by 3, the result is 0.2.

Now, to "change into a fraction," let's rewrite the numbers as fractions:

  1. 0.60.6 as a fraction is 610\frac{6}{10}, which simplifies to 35\frac{3}{5}.
  2. Dividing by 3 is equivalent to multiplying by 13\frac{1}{3}, so the operation becomes: 35×13=3×15×3=15\frac{3}{5} \times \frac{1}{3} = \frac{3 \times 1}{5 \times 3} = \frac{1}{5}

Thus, 0.20.2 as a fraction is 15\frac{1}{5}.

If you'd like more details or have any questions, feel free to ask!

Here are 5 related questions to further explore:

  1. How do you convert any decimal into a fraction?
  2. What is the difference between multiplying by a fraction and dividing by a whole number?
  3. Can you explain how to simplify fractions in other problems?
  4. What happens when you divide fractions by other fractions?
  5. How would the process change if the decimal were repeating?

Tip: When converting a decimal to a fraction, always simplify the fraction to its lowest terms for a more accurate representation.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Decimals
Fractions
Division

Formulas

0.6 ÷ 3 = 0.2
Decimal to fraction conversion

Theorems

Fraction multiplication rule

Suitable Grade Level

Grades 4-6