Convert the following decimals to fractions in simplest form:

Options

A. `0.8`
B. `24.56`
C. `3.245`
D. `1.75`

Answer

To convert the given decimals to fractions in simplest form, we will follow these steps for each decimal:

### Step 1: Convert 0.8 to a Fraction
1. Write the decimal as a fraction:
\[ 0.8 = \frac{8}{10} \]
2. Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 2:
\[ \frac{8 \div 2}{10 \div 2} = \frac{4}{5} \]

### Step 2: Convert 24.56 to a Fraction
1. Write the decimal as a fraction:
\[ 24.56 = \frac{2456}{100} \]
2. Simplify the fraction by dividing both the numerator and the denominator by their GCD, which is 4:
\[ \frac{2456 \div 4}{100 \div 4} = \frac{614}{25} \]

### Step 3: Convert 3.245 to a Fraction
1. Write the decimal as a fraction:
\[ 3.245 = \frac{3245}{1000} \]
2. Simplify the fraction by dividing both the numerator and the denominator by their GCD, which is 5:
\[ \frac{3245 \div 5}{1000 \div 5} = \frac{649}{200} \]

### Step 4: Convert 1.75 to a Fraction
1. Write the decimal as a fraction:
\[ 1.75 = \frac{175}{100} \]
2. Simplify the fraction by dividing both the numerator and the denominator by their GCD, which is 25:
\[ \frac{175 \div 25}{100 \div 25} = \frac{7}{4} \]

### Summary of the Results
- \( 0.8 = \frac{4}{5} \)
- \( 24.56 = \frac{614}{25} \)
- \( 3.245 = \frac{649}{200} \)
- \( 1.75 = \frac{7}{4} \)