48.75 as a Fraction
Step-by-step explanation of how to convert 48.75 to a fraction.
Result
The decimal converted to a fraction
48.75
195
4
Step-by-Step Solution:
- 1
Identify the decimal places
48.75 has 2 decimal places. - 2
Multiply by the appropriate power of 10
48.75 × 102 = 4875 - 3
Write as a fraction
4875100 - 4
Simplify the fraction
Find the greatest common divisor (GCD) of 4875 and 100
GCD = 25
Numerator:
4875 25 = 195Denominator:
100 25 = 4 - 5
Final result
The decimal 48.75 as a fraction is:
1954
Decimal Properties
Information about this decimal number
Decimal Value:48.75
Fraction Form:195/4
Decimal Places:2
Whole Number Part:48
Decimal Part:0.75
Simplified By:GCD of 25
Percentage:4875.00%
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Real-World Examples of 48.75
Practical applications of this decimal value
- 48.75 represents 48 whole units plus 0.75 of another unit.
- In measurements, 48.75 meters equals 48 meters and 75 centimeters.
- In decimal form, 48.75 can be used directly in calculations, while its fraction form 195/4 is often more precise for certain mathematical operations.