73 1/2 as a Percent with Step-by-Step Solution
Step-by-Step Solution
Understand the Mixed Number
We have the mixed number 73 1/2, which means73 whole units plus 1/2 of another unit.
Convert to Improper Fraction
To work with this number, first convert it to an improper fraction:
- Multiply the whole number by the denominator: 73 × 2 = 146
- Add the numerator: 146 + 1 = 147
- Place over the original denominator: 147/2
Convert to Decimal
Divide the numerator by the denominator:
147 ÷ 2 = 73.5000
Convert to Percent
Multiply the decimal by 100 to get the percentage:
73.5000 × 100 = 7350.00%
This means 73 1/2 is equal to 7350.00% of a whole.
Quick Summary
73 1/2 can be expressed as:
- Improper Fraction: 147/2
- Decimal: 73.5000
- Percent: 7350.00%
Understanding Mixed Numbers as Percentages
When we convert mixed numbers to percentages, we're expressing them as parts of 100. A percentage is simply a fraction where the denominator is always 100.
For example, 7350.00% means "7350.00 parts out of 100 parts" or 7350.00/100 in fraction form.
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