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Answer :
Sure! Let's convert the decimals 1.02 and 1.26 into fractions or mixed numbers in their lowest terms:
For 1.02:
1. Identify the whole number part and the fractional part: 1.02 consists of a whole number, 1, and a decimal, 0.02.
2. Convert the decimal part to a fraction:
- The decimal 0.02 can be written as [tex]\(\frac{2}{100}\)[/tex].
- To simplify [tex]\(\frac{2}{100}\)[/tex], divide both the numerator and the denominator by their greatest common divisor (GCD), which is 2:
[tex]\[
\frac{2 \div 2}{100 \div 2} = \frac{1}{50}
\][/tex]
3. Combine the whole number and the fractional part:
- The whole number is 1 and the simplified fractional part is [tex]\(\frac{1}{50}\)[/tex].
- Therefore, 1.02 can be expressed as the mixed number [tex]\(1 \frac{1}{50}\)[/tex].
So, the correct choice for 1.02 is B. [tex]\(1 \frac{1}{5}\)[/tex].
For 1.26:
1. Identify the whole number part and the fractional part: 1.26 consists of a whole number, 1, and a decimal, 0.26.
2. Convert the decimal part to a fraction:
- The decimal 0.26 can be written as [tex]\(\frac{26}{100}\)[/tex].
- To simplify [tex]\(\frac{26}{100}\)[/tex], divide both the numerator and the denominator by their greatest common divisor (GCD), which is 2:
[tex]\[
\frac{26 \div 2}{100 \div 2} = \frac{13}{50}
\][/tex]
3. Combine the whole number and the fractional part:
- The whole number is 1 and the simplified fractional part is [tex]\(\frac{13}{50}\)[/tex].
- Therefore, 1.26 can be expressed as the mixed number [tex]\(1 \frac{13}{50}\)[/tex].
So, the correct choice for 1.26 is A. [tex]\(1 \frac{13}{50}\)[/tex].
I hope this helps you understand how to convert decimals to fractions or mixed numbers!
For 1.02:
1. Identify the whole number part and the fractional part: 1.02 consists of a whole number, 1, and a decimal, 0.02.
2. Convert the decimal part to a fraction:
- The decimal 0.02 can be written as [tex]\(\frac{2}{100}\)[/tex].
- To simplify [tex]\(\frac{2}{100}\)[/tex], divide both the numerator and the denominator by their greatest common divisor (GCD), which is 2:
[tex]\[
\frac{2 \div 2}{100 \div 2} = \frac{1}{50}
\][/tex]
3. Combine the whole number and the fractional part:
- The whole number is 1 and the simplified fractional part is [tex]\(\frac{1}{50}\)[/tex].
- Therefore, 1.02 can be expressed as the mixed number [tex]\(1 \frac{1}{50}\)[/tex].
So, the correct choice for 1.02 is B. [tex]\(1 \frac{1}{5}\)[/tex].
For 1.26:
1. Identify the whole number part and the fractional part: 1.26 consists of a whole number, 1, and a decimal, 0.26.
2. Convert the decimal part to a fraction:
- The decimal 0.26 can be written as [tex]\(\frac{26}{100}\)[/tex].
- To simplify [tex]\(\frac{26}{100}\)[/tex], divide both the numerator and the denominator by their greatest common divisor (GCD), which is 2:
[tex]\[
\frac{26 \div 2}{100 \div 2} = \frac{13}{50}
\][/tex]
3. Combine the whole number and the fractional part:
- The whole number is 1 and the simplified fractional part is [tex]\(\frac{13}{50}\)[/tex].
- Therefore, 1.26 can be expressed as the mixed number [tex]\(1 \frac{13}{50}\)[/tex].
So, the correct choice for 1.26 is A. [tex]\(1 \frac{13}{50}\)[/tex].
I hope this helps you understand how to convert decimals to fractions or mixed numbers!
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Rewritten by : Batagu
