Convert the decimal 0.4375″ to a fraction.
The correct answer and explanation is:
To convert the decimal 0.4375 to a fraction:
✅ Correct Answer:
0.4375 = 7/16
🧠 Detailed Explanation (Approximately 300 Words):
Converting a decimal to a fraction involves understanding place value and simplifying. Let’s break it down step-by-step:
🔢 Step 1: Understand the Decimal
The decimal 0.4375 means:
- 4 tenths
- 3 hundredths
- 7 thousandths
- 5 ten-thousandths
So, 0.4375 = 4375 ÷ 10,000
✍️ Step 2: Write as a Fraction
We now express the decimal as a fraction: 0.4375=4375100000.4375 = \frac{4375}{10000}
✂️ Step 3: Simplify the Fraction
We simplify by finding the greatest common divisor (GCD) of 4375 and 10000.
We can start by dividing both numerator and denominator by 125 (a common factor): 4375÷12510000÷125=3580\frac{4375 ÷ 125}{10000 ÷ 125} = \frac{35}{80}
Now simplify further by dividing both numerator and denominator by 5: 35÷580÷5=716\frac{35 ÷ 5}{80 ÷ 5} = \frac{7}{16}
So, the simplest form of 0.4375 is: 716\boxed{\frac{7}{16}}
🧪 Real-Life Context (Optional for Clarity)
Fractions like 7/16 are commonly used in carpentry, construction, and engineering — especially when measuring in inches. For example, if a piece of wood is 0.4375″ thick, that’s the same as 7/16″.
✅ Summary:
- Decimal: 0.4375
- Fraction form: 4375/10000
- Simplified: 7/16
- Final Answer: 7/16\boxed{7/16}
This process shows how to convert any decimal with up to four decimal places into a fraction. Always simplify your answer unless asked to leave it in decimal form.