Converting Decimals to Fractions: How 0.75 Equals 3/4

How do you convert 0.75 into a fraction?

• A. 2/3
• B. 3/5
• C. 3/4
• D. 4/5

Answer: (C)

To convert the decimal 0.75 into a fraction, it’s helpful to understand the relationship between decimals and fractions. The decimal 0.75 can be expressed as 75 hundredths because it is in the hundredths place. This can be written as the fraction 75/100. Next, to simplify this fraction, you look for the greatest common divisor (GCD) of the numerator and denominator. In this case, both 75 and 100 can be divided by 25. Dividing both the numerator and the denominator by 25 results in: 75 ÷ 25 = 3 100 ÷ 25 = 4 Thus, 75/100 simplifies to 3/4. Therefore, 0.75 is equal to the fraction 3/4, confirming that this is the correct answer. This showcases how understanding both the decimal and fraction representations allows for clear conversion between the two forms.

Converting decimals to fractions is a fundamental math skill that many students, especially those preparing for the GED Math Test, need to master. So let’s break it down with a practical example: converting 0.75 into a fraction.

What Does 0.75 Mean?

You might be wondering, "Why do I need to convert this at all?" Well, understanding decimals and fractions expands your math toolkit. It provides clarity in expressing values and can help in real-world applications like budgeting or cooking!

So, let’s start with the number itself—0.75. This is known as a decimal, a way of representing a number that is less than one. Now, if you dive deeper, you’ll realize that 0.75 is actually 75 hundredths because it's in the hundredths place. Which means you can write it as:

0.75 = 75/100

Now we’ve set up a fraction! But hang on a sec, we’re not finished yet.

Simplifying the Fraction

Next up, we have to simplify that fraction if we can. Simplifying makes a fraction easier to work with and read. To do this, look for the greatest common divisor (GCD) of the numerator (75) and the denominator (100).

Finding the GCD

What’s the GCD? Good question! It’s the largest number that can divide both 75 and 100 without leaving a remainder. For our numbers, that happens to be 25.

Let’s break it down:

• 75 ÷ 25 = 3

• 100 ÷ 25 = 4

So, you will transform the fraction:

75/100 = 3/4

Now we’ve simplified it! And voilà! You’ve converted 0.75 into the fraction 3/4.

Why Does It Matter?

Why bother with this conversion? Understanding both decimal and fractional representations helps not just in tests, but also in life. From measuring ingredients in recipes to financial estimates, knowing how fractions work can significantly aid your everyday decisions.

If you’ve ever had to split a bill with friends, or measure paint for a DIY project, fractions and their decimal forms help ensure accuracy.

Wrap Up on a High Note

So there you have it! Converting decimals to fractions doesn't have to be a chore. With this method, you'll approach your GED practice with confidence and clarity. Remember, math is like learning a new language—it takes practice, but soon enough, you’ll be converting decimals like a pro! Need more help? Don’t hesitate to explore additional resources or practice exercises.

Happy learning!