What is 5.25 in fraction form?
The Correct Answer and Explanation is :
To express 5.25 as a fraction, follow these steps:
- Write the number as a mixed number:
5.25 can be broken down into a whole number (5) and a decimal (0.25). Therefore, 5.25 is the same as the mixed number:
[
5 \frac{25}{100}
]
This represents 5 whole parts and 0.25 of another whole. - Simplify the fraction:
The fraction part, 0.25, is the same as ( \frac{25}{100} ). To simplify this fraction, find the greatest common divisor (GCD) of 25 and 100. The GCD of 25 and 100 is 25. Now, divide both the numerator and the denominator by 25:
[
\frac{25}{100} = \frac{25 \div 25}{100 \div 25} = \frac{1}{4}
]
So, 0.25 can be written as ( \frac{1}{4} ). - Combine the whole number with the fraction:
Now, combine the whole number 5 and the fraction ( \frac{1}{4} ). This gives the mixed number:
[
5 \frac{1}{4}
] - Convert to an improper fraction:
To express the mixed number as an improper fraction, multiply the whole number by the denominator of the fraction and add the numerator:
[
5 \times 4 = 20, \quad 20 + 1 = 21
]
Therefore, ( 5 \frac{1}{4} ) is equivalent to the improper fraction:
[
\frac{21}{4}
]
Thus, 5.25 as a fraction is ( \frac{21}{4} ).
Explanation:
To convert a decimal to a fraction, first separate the decimal part from the whole number. Then, express the decimal as a fraction, simplify if necessary, and finally, if needed, convert the mixed number to an improper fraction. In this case, converting 5.25 to ( \frac{21}{4} ) involved breaking it down into its whole part and fractional part, simplifying the fraction, and combining them correctly.