Change 1.25 to decimal fraction
The Correct Answer and Explanation is :
To convert 1.25 into a decimal fraction, follow these steps:
Step-by-Step Conversion
- Identify the Decimal:
The number 1.25 consists of a whole part (1) and a fractional part (0.25). - Convert the Fractional Part:
The decimal 0.25 can be expressed as a fraction. The digit 25 is in the hundredths place, which is the second decimal place. This means that 0.25 is equivalent to:
[
0.25 = \frac{25}{100}
] - Simplify the Fraction:
The fraction (\frac{25}{100}) can be simplified. To do this, divide both the numerator (25) and the denominator (100) by their greatest common divisor (GCD), which is 25:
[
\frac{25}{100} = \frac{25 \div 25}{100 \div 25} = \frac{1}{4}
] - Combine the Whole Part with the Fraction:
Now, we can combine the whole number part 1 with the simplified fractional part (\frac{1}{4}). This gives us:
[
1.25 = 1 + \frac{1}{4}
]
Thus, 1.25 is equivalent to the mixed fraction 1 (\frac{1}{4}).
Decimal Fraction Form:
Since a decimal fraction is typically written as a fraction of 10, 100, 1000, etc., 1.25 is already in decimal form. But as a decimal fraction, it can be represented as:
[
\frac{5}{4}
]
where 5 is the numerator and 4 is the denominator, indicating the number of parts into which the whole is divided.
Conclusion:
In summary, 1.25 can be expressed as the decimal fraction (\frac{5}{4}). The decimal part 0.25 corresponds to the fraction (\frac{25}{100}), which simplifies to (\frac{1}{4}), and when combined with the whole number part 1, it results in the mixed fraction 1 (\frac{1}{4}).