We appreciate your visit to Convert 82 28 to its fractional equivalent and reduce it A 83 B tex 82 frac 28 100 tex C tex 82 frac 7 25. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To convert 82.28 to a fractional equivalent and reduce it, follow these steps:
1. Understand the Structure: The number 82.28 is made up of a whole number part, 82, and a decimal part, 0.28.
2. Express the Whole Number Part: The whole number part remains as it is, which is 82.
3. Focus on the Decimal Part: The decimal part is 0.28. To convert it into a fraction, recognize that 0.28 is equivalent to 28/100.
4. Reduce the Fraction:
- Find the greatest common divisor (GCD) of 28 and 100.
- The GCD of 28 and 100 is 4.
5. Simplify the Fraction:
- Divide both the numerator and the denominator by their GCD.
- 28 ÷ 4 = 7
- 100 ÷ 4 = 25
6. Combine the Parts: Combine the whole number with the simplified fractional part. This gives us [tex]\(82 \frac{7}{25}\)[/tex].
Therefore, the fractional equivalent of 82.28, simplified, is [tex]\(82 \frac{7}{25}\)[/tex].
1. Understand the Structure: The number 82.28 is made up of a whole number part, 82, and a decimal part, 0.28.
2. Express the Whole Number Part: The whole number part remains as it is, which is 82.
3. Focus on the Decimal Part: The decimal part is 0.28. To convert it into a fraction, recognize that 0.28 is equivalent to 28/100.
4. Reduce the Fraction:
- Find the greatest common divisor (GCD) of 28 and 100.
- The GCD of 28 and 100 is 4.
5. Simplify the Fraction:
- Divide both the numerator and the denominator by their GCD.
- 28 ÷ 4 = 7
- 100 ÷ 4 = 25
6. Combine the Parts: Combine the whole number with the simplified fractional part. This gives us [tex]\(82 \frac{7}{25}\)[/tex].
Therefore, the fractional equivalent of 82.28, simplified, is [tex]\(82 \frac{7}{25}\)[/tex].
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