Write 4.75 as a mixed number in simplest form. 4.75 = 4 3/4 Write 0.21 fraction in simplest form. 0.21 = 21/100 Write 0.48 as a fraction in simplest form. 0.48 = 12/25 Write 0.72 as a fraction in simplest form. 0.72 = 18/25 Write 63 45 fraction in simplest form. 0.63 = 63/100
The Correct Answer and Explanation is:
Correct Answers:
- 4.75 as a mixed number in simplest form
Answer: 4344 \dfrac{3}{4}443 - 0.21 as a fraction in simplest form
Answer: 21100\dfrac{21}{100}10021 - 0.48 as a fraction in simplest form
Answer: 1225\dfrac{12}{25}2512 - 0.72 as a fraction in simplest form
Answer: 1825\dfrac{18}{25}2518 - 0.63 as a fraction in simplest form
Answer: 63100\dfrac{63}{100}10063
Explanation
Converting decimals to fractions involves understanding place value and simplifying the resulting fraction. Let’s take each example:
1. 4.75 → 4 3/4
Separate the whole number from the decimal. The decimal 0.75 equals 75/100. Simplify by dividing both numerator and denominator by 25:75100=34\frac{75}{100} = \frac{3}{4}10075=43
So, 4.75 = 4 3/4.
2. 0.21 → 21/100
Since 0.21 has two decimal places, it can be written directly as 21/100, which is already in simplest form.
3. 0.48 → 48/100
Now simplify:48100=1225(divided both numerator and denominator by 4)\frac{48}{100} = \frac{12}{25} \quad (\text{divided both numerator and denominator by 4})10048=2512(divided both numerator and denominator by 4)
4. 0.72 → 72/100
Simplify by dividing both terms by 4:72100=1825\frac{72}{100} = \frac{18}{25}10072=2518
5. 0.63 → 63/100
This is already in simplest form. There is no common factor (other than 1) between 63 and 100.
Final Note:
Always reduce fractions to simplest form by dividing both the numerator and denominator by their greatest common divisor (GCD). For decimals, count the decimal places to decide the denominator (e.g., 0.48 has two decimal places → denominator of 100), then simplify. Mixed numbers should separate the whole part from the decimal before converting.
