4/6 × 4/8
Understand the Problem
The question is asking to multiply two fractions, specifically 4/6 and 4/8. The high-level approach to solve this involves multiplying the numerators together and the denominators together.
Answer
The result is $\frac{1}{3}$.
Answer for screen readers
The final answer is $\frac{1}{3}$.
Steps to Solve
- Multiply the Numerators
To begin, multiply the numerators of the two fractions together. The numerators are 4 and 4.
$$ 4 \times 4 = 16 $$
- Multiply the Denominators
Next, multiply the denominators of the two fractions together. The denominators are 6 and 8.
$$ 6 \times 8 = 48 $$
- Combine the Results
Now, combine the results from the numerator and the denominator to form a new fraction.
$$ \frac{16}{48} $$
- Simplify the Fraction
Finally, simplify the fraction if possible. The greatest common divisor (GCD) of 16 and 48 is 16.
$$ \frac{16 \div 16}{48 \div 16} = \frac{1}{3} $$
The final answer is $\frac{1}{3}$.
More Information
The process of multiplying fractions involves straightforward multiplication of numerators and denominators, followed by simplification if necessary. Fractions are an essential concept in mathematics, useful in various real-life applications like cooking, measuring, and finance.
Tips
- Not simplifying the fraction correctly after multiplying the numerators and denominators. Always check if the resulting fraction can be simplified.
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