24 3/8 divided by 2

Steps to Solve

1. Convert the mixed number to an improper fraction

To convert the mixed number ( 24 \frac{3}{8} ) to an improper fraction, we multiply the whole number by the denominator and add the numerator. The formula is:

$$ \text{Improper Fraction} = \frac{(24 \times 8) + 3}{8} $$

Calculating that, we get:

$$ \text{Improper Fraction} = \frac{192 + 3}{8} = \frac{195}{8} $$

2. Set up the division problem

Now, we need to divide ( \frac{195}{8} ) by the whole number 2. We can convert the whole number 2 into a fraction:

$$ 2 = \frac{2}{1} $$

Now the division becomes:

$$ \frac{195}{8} \div \frac{2}{1} $$

3. Use the reciprocal to perform the division

Dividing by a fraction means we multiply by its reciprocal. Thus, we can rewrite the division as:

$$ \frac{195}{8} \times \frac{1}{2} $$

4. Multiply the fractions

Now we multiply the numerators and the denominators:

$$ \frac{195 \times 1}{8 \times 2} = \frac{195}{16} $$

5. Convert back to a mixed number (if necessary)

To convert ( \frac{195}{16} ) back to a mixed number, divide the numerator by the denominator:

$$ 195 \div 16 = 12 \quad \text{R}3 $$

So, we get:

$$ \frac{195}{16} = 12 \frac{3}{16} $$