Write the ratio 1.45 to 4.35 as a simplified fraction.




To write the ratio \(1.45\) to \(4.35\) as a simplified fraction, follow these steps:

1. **Express the ratio as a fraction:**
   \[
   \frac{1.45}{4.35}
   \]

2. **Simplify the fraction:**
   - First, recognize that both \(1.45\) and \(4.35\) are decimals. Multiply both the numerator and the denominator by 100 to eliminate the decimals:
     \[
     \frac{1.45 \times 100}{4.35 \times 100} = \frac{145}{435}
     \]
   - Next, simplify \(\frac{145}{435}\) by finding the greatest common divisor (GCD) of 145 and 435.
   - The GCD of 145 and 435 is 145. Therefore:
     \[
     \frac{145 \div 145}{435 \div 145} = \frac{1}{3}
     \]

So, the ratio \(1.45\) to \(4.35\) as a simplified fraction is \(\frac{1}{3}\).

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Here are 5 related questions for further practice:
1. Write the ratio 2.75 to 11 as a simplified fraction.
2. Simplify the ratio 3.6 to 4.8 as a fraction.
3. What is the simplified fraction form of the ratio 7.5 to 12.5?
4. Convert the ratio 5.2 to 13 into a simplified fraction.
5. Simplify the ratio 8.4 to 2.1 as a fraction.

**Tip:** To simplify a ratio involving decimals, multiply both parts of the ratio by 10, 100, or 1000 (depending on the number of decimal places) to convert it to whole numbers before simplifying.

Learn how to write the ratio 1.45 to 4.35 as a simplified fraction step-by-step. This problem covers converting decimals to fractions, finding the greatest common divisor (GCD), and simplifying fractions. Suitable for students in Grades 6-8.

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