Step-by-Step Solution for Converting 1.45 to a Fraction
Step 1: Understand the Number
The number 1.45 is a decimal, which can be broken into two parts:
- The whole number part is: 1.
- The decimal part is: 0.45.
We aim to convert the entire number into a fraction.
Step 2: Isolate the Decimal Part (0.45)
Focus on the decimal part (0.45) and represent it as a fraction.
Step 2.1: Write 0.45 as \( \frac45100 \)
The decimal 0.45 can be read as "45 hundredths." Mathematically, this is:
\[ 0.45 = \frac45100 \]
Step 2.2: Simplify the Fraction
Now simplify \( \frac45100 \) by finding the greatest common divisor (GCD) of 45 and 100.
- The GCD of 45 and 100 is: 5.
- Therefore, the simplified fraction is:
\[ \frac920 \]
Step 3: Combine the Whole Number and Fraction
The original number 1.45 is the sum of the whole number 1 and the fraction \( \frac920 \).
Combine these as a mixed number:
\[ 1.45 = 1 + \frac920 = \frac29/20 \]
Step 4: Verify the Answer
To verify, divide \( \frac29/20 \):
\[ \frac29/20 = 1.45 \]
Thus, the fraction is correct.
Final Answer
The decimal 1.45 as a fraction is:
\[ \frac29/20 \]
If expressed as a mixed number:
\[ 1 9/20 \]
