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Answer :
To convert 1.64 to a simplified mixed number or fraction, follow these steps:
1. Identify the whole number part: The number 1.64 has a whole number or integer part equal to 1.
2. Identify the decimal part: Subtract the integer part from the original number to find the decimal part.
- Decimal part = 1.64 - 1 = 0.64
3. Convert the decimal to a fraction:
- Recognize 0.64 as a fraction. It can be written as 64/100 since 0.64 means 64 hundredths.
- Simplify the fraction by finding the greatest common factor (GCF) of the numerator and the denominator. The GCF of 64 and 100 is 4.
- Divide both the numerator and the denominator by their GCF:
- 64 ÷ 4 = 16
- 100 ÷ 4 = 25
- So, 64/100 simplifies to 16/25.
4. Combine into a mixed number:
- The mixed number combines the integer part with the simplified fraction part, giving us 1 and 16/25.
Thus, 1.64 as a simplified mixed number is 1 16/25.
1. Identify the whole number part: The number 1.64 has a whole number or integer part equal to 1.
2. Identify the decimal part: Subtract the integer part from the original number to find the decimal part.
- Decimal part = 1.64 - 1 = 0.64
3. Convert the decimal to a fraction:
- Recognize 0.64 as a fraction. It can be written as 64/100 since 0.64 means 64 hundredths.
- Simplify the fraction by finding the greatest common factor (GCF) of the numerator and the denominator. The GCF of 64 and 100 is 4.
- Divide both the numerator and the denominator by their GCF:
- 64 ÷ 4 = 16
- 100 ÷ 4 = 25
- So, 64/100 simplifies to 16/25.
4. Combine into a mixed number:
- The mixed number combines the integer part with the simplified fraction part, giving us 1 and 16/25.
Thus, 1.64 as a simplified mixed number is 1 16/25.
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