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Answer :
To convert the decimal 1.02 into a fraction or mixed number in lowest terms, follow these steps:
1. Identify the Whole Number and Decimal Part:
The given decimal is 1.02. We can separate it into a whole number and a decimal part.
- Whole number: 1
- Decimal part: 0.02
2. Convert the Decimal Part to a Fraction:
The decimal part 0.02 can be written as a fraction. To do this, consider the place value of the decimal:
- 0.02 = 2/100
This fraction can be simplified. Find the greatest common divisor (GCD) of 2 and 100, which is 2, and divide both the numerator and the denominator by this GCD:
- (2 ÷ 2) / (100 ÷ 2) = 1/50
3. Combine the Whole Number and the Fraction:
Since we have a whole number 1 and a fractional part 1/50, we combine them to form a mixed number:
- 1 + 1/50 = [tex]\(1 \frac{1}{50}\)[/tex]
Thus, the decimal 1.02 as a mixed number in lowest terms is [tex]\(1 \frac{1}{50}\)[/tex]. So, the correct option is:
A. [tex]\(1 \frac{1}{50}\)[/tex]
1. Identify the Whole Number and Decimal Part:
The given decimal is 1.02. We can separate it into a whole number and a decimal part.
- Whole number: 1
- Decimal part: 0.02
2. Convert the Decimal Part to a Fraction:
The decimal part 0.02 can be written as a fraction. To do this, consider the place value of the decimal:
- 0.02 = 2/100
This fraction can be simplified. Find the greatest common divisor (GCD) of 2 and 100, which is 2, and divide both the numerator and the denominator by this GCD:
- (2 ÷ 2) / (100 ÷ 2) = 1/50
3. Combine the Whole Number and the Fraction:
Since we have a whole number 1 and a fractional part 1/50, we combine them to form a mixed number:
- 1 + 1/50 = [tex]\(1 \frac{1}{50}\)[/tex]
Thus, the decimal 1.02 as a mixed number in lowest terms is [tex]\(1 \frac{1}{50}\)[/tex]. So, the correct option is:
A. [tex]\(1 \frac{1}{50}\)[/tex]
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