How Do I Write 0.28 As A Fraction
The Correct Answer and Explanation is:
Correct Answer:
0.28 as a fraction is 725\frac{7}{25}
Explanation
To convert 0.28 into a fraction, follow these step-by-step instructions:
Step 1: Understand the Decimal Place
The decimal 0.28 is read as “twenty-eight hundredths.” This means the number is in the hundredths place (two decimal digits), so it can be written as: 0.28=281000.28 = \frac{28}{100}
Step 2: Simplify the Fraction
Now, simplify 28100\frac{28}{100} to its lowest terms. To do this, find the greatest common divisor (GCD) of 28 and 100.
- The factors of 28 are: 1, 2, 4, 7, 14, 28
- The factors of 100 are: 1, 2, 4, 5, 10, 20, 25, 50, 100
The greatest common factor is 4.
So, divide both the numerator and the denominator by 4: 28÷4100÷4=725\frac{28 \div 4}{100 \div 4} = \frac{7}{25}
Step 3: Final Answer
Thus, 0.28 = 725\frac{7}{25} in its simplest form.
Why This Works:
Decimals and fractions are two ways of representing parts of a whole. The decimal 0.28 tells us that we have 28 parts out of 100, which is why it first becomes 28100\frac{28}{100}. Simplifying fractions is essential because it helps express values more clearly and is often expected in mathematics.
Using GCD to reduce the fraction ensures that the final answer is in the simplest terms, which is usually the form preferred in math and science.
Summary:
0.28 = 28100\frac{28}{100} = 725\frac{7}{25}
This is how you write 0.28 as a simplified fraction.
