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Solve the following:

[tex]\[\frac{1}{4} \times \frac{4}{3} =\][/tex]

Sagot :

GinnyAnsweridn
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]
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