Write the number 0.72 as a fraction or mixed number.

Write the number 0.72 as a fraction or mixed number.

The Correct Answer and Explanation is:

Correct Answer:

The number 0.72 as a fraction is: 1825\frac{18}{25}

---

Explanation

To convert 0.72 into a fraction, we follow a step-by-step process:

1. Understand what 0.72 means:
   The number 0.72 is a decimal, and it means 72 hundredths. In other words, 0.72=721000.72 = \frac{72}{100}
2. Simplify the fraction:
   We simplify 72100\frac{72}{100} by finding the greatest common divisor (GCD) of the numerator and the denominator.
   • Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
   • Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
   • Common factors: 1, 2, 4
   • Greatest common factor: 4
   Now divide both the numerator and denominator by 4: 72÷4100÷4=1825\frac{72 \div 4}{100 \div 4} = \frac{18}{25} So, 0.72 = 1825\frac{18}{25} in simplest form.

---

Why is this important?

Converting decimals to fractions helps in understanding the relationship between different number forms. For example, 0.5 is easily recognized as 12\frac{1}{2}, but 0.72 might not be immediately clear. Understanding this conversion improves number sense and prepares students for more advanced math like algebra, where different number forms are often used together.

Also, it’s useful in real-life contexts. For example, if a recipe calls for 0.72 liters of water, converting this to a fraction like 1825\frac{18}{25} can help you better estimate measurements using cups or other units that are more commonly marked with fractions.

---

Final Answer:

0.72=18250.72 = \frac{18}{25}