Step-by-Step Guide to Converting 9.75 into a Fraction
Converting a decimal to a fraction can be simple if we break it down into easy steps. Here’s how to convert the decimal 9.75 into a fraction:
- Understand the decimal:
The decimal 9.75 consists of two parts: 9 and 0.75. The whole number part is 9. - Convert the decimal part:
Now, let’s focus on the decimal part, which is 0.75. To convert this into a fraction, we can recognize that 0.75 equals 75 hundredths, written as: - 0.75 = 75/100
- Simplify the fraction:
Next, we need to simplify 75/100. Both 75 and 100 can be divided by 25: - 75 ÷ 25 = 3
- 100 ÷ 25 = 4
- So, 75/100 simplifies to 3/4.
- Combine the whole number and the fraction:
Now, we combine the whole number (9) with the simplified fraction (3/4). This is done by writing: - 9 + 3/4 = 9 3/4
- Final answer:
Therefore, the decimal 9.75 can be expressed as the fraction 9 3/4.
So, in conclusion, 9.75 as a fraction is 9 3/4.