Let's solve the multiplication of two fractions, [tex]\(\frac{1}{4} \times \frac{4}{3}\)[/tex], step by step.
### Step 1: Multiply the Numerators
The numerators are the top parts of the fractions. We multiply these together:
[tex]\[1 \times 4 = 4\][/tex]
### Step 2: Multiply the Denominators
The denominators are the bottom parts of the fractions. We multiply these together:
[tex]\[4 \times 3 = 12\][/tex]
### Step 3: Form the Resulting Fraction
Now, we combine the results from Steps 1 and 2 to form the new fraction:
[tex]\[\frac{4}{12}\][/tex]
### Step 4: Simplify the Fraction
To simplify the fraction:
1. Find the greatest common divisor (GCD) of the numerator and the denominator.
2. Divide both the numerator and the denominator by their GCD.
For the fraction [tex]\(\frac{4}{12}\)[/tex]:
- The GCD of 4 and 12 is 4.
- Divide the numerator (4) and the denominator (12) by 4.
[tex]\[
\frac{4 \div 4}{12 \div 4} = \frac{1}{3}
\][/tex]
### Step 5: Convert to Decimal (if needed)
To complement our understanding, we can also convert [tex]\(\frac{1}{3}\)[/tex] to a decimal:
[tex]\[
\frac{1}{3} \approx 0.3333333333333333
\][/tex]
### Final Answer
Thus, the product of [tex]\(\frac{1}{4} \times \frac{4}{3}\)[/tex] is:
[tex]\[
\frac{1}{3} \text{ or } 0.3333333333333333
\][/tex]
In conclusion, when you multiply [tex]\(\frac{1}{4}\)[/tex] by [tex]\(\frac{4}{3}\)[/tex], you get:
[tex]\[
4, 12, 0.3333333333333333
\][/tex]
