Understanding Decimal Conversion Through Fractions

What is the decimal value of 3/8?

• A. 0.45
• B. 0.375
• C. 0.25
• D. 0.50

Answer: (B)

To determine the decimal value of 3/8, it’s essential to perform the division of the numerator by the denominator. Dividing 3 by 8 asks how many times 8 can fit into 3. Since 8 cannot fit into 3, we proceed by considering decimal places. By adding a decimal point to the 3 and subsequently a zero (making it 3.0), we can think of it as 30 tenths. Now, we can see how many times 8 goes into 30. It fits 3 times, which gives us 24 when multiplied (3 × 8 = 24), and subtracting that from 30 leaves us with 6. Bringing down another zero makes it 60. Now, 8 fits into 60 seven times, giving us 56. Subtracting yields 4, and bringing down another zero gives us 40. The number 8 fits into 40 exactly 5 times, leading to the result of 0.375. Hence, the decimal form of 3/8 is 0.375, which corresponds to the correct answer. This method clearly illustrates the process of converting a fraction to a decimal.

When you’re preparing for the FTCE General Knowledge Math Test, you want to get comfortable with various concepts, including how to convert fractions to decimals. One of the classic fractions that often pops up is 3/8. Don’t worry if fractions leave you feeling a bit lost—it’s simpler than it sounds!

So, let’s break it down. What is the decimal value of 3/8? You might be thinking, “Do I really need to know fractions and decimals?” Well, yes! It’s fundamental math that builds the foundation for more advanced concepts. Plus, it gives you that ‘aha!’ moment when you grasp a tricky subject.

Now, onto the nitty-gritty. To figure out the decimal equivalent of 3/8, we must perform the division of 3 by 8. This can sound a bit daunting at first—after all, dividing by a bigger number can seem tricky, especially when all you’ve got is 3. But hang tight! Here’s how you do it: Since 8 can’t fit into 3, we’ll tack on a decimal point and some zeros. Think of it like giving the 3 a little extra room to play.

Once we make it 3.0 (which can also be viewed as 30 tenths), it’s all about how many times 8 fits into 30. And guess what? It fits in there 3 times, which totals 24 (3 × 8 = 24). Subtract that from 30, and you’ve got 6 left over. Easy enough, right?

Now, bring down another zero, and we’re looking at 60. So how many times does 8 fit into 60? That would be 7 times, resulting in—drumroll, please—56! Who knew math could be this suspenseful? After subtracting, you’re left with 4.

Bring down yet another zero, which reopens the floor for our division. Now we’re at 40. And wouldn’t you know it? 8 fits perfectly 5 times into 40! This gives us our final answer: 0.375. Ta-da! The decimal form of 3/8 is, in fact, 0.375, which is our fearless leader of correctness in this mathematical scenario.

Phew! Fractions can seem intimidating, but walking through them slowly demystifies their complexity. Whether it’s fractions, decimals, or even percentages, mastering these basics can make you feel unstoppable as you head for that FTCE General Knowledge Math Test. You know what? Sometimes, reassurance comes from tackling a single fraction, which sets the stage for your math prowess to shine.

So if you ever find yourself wrestling with a fraction, remember the method of grasping the decimals, and don’t hesitate to practice. It’s all about building up those skills, one fraction at a time.