4/15 × 6
Understand the Problem
The question is asking to perform the multiplication of a fraction (4/15) by 6. This involves multiplying the fraction by the whole number.
Answer
The answer is \( \frac{8}{5} \).
Answer for screen readers
The final answer is ( \frac{8}{5} ).
Steps to Solve
- Convert Whole Number to Fraction
To multiply a fraction by a whole number, first convert the whole number into a fraction.
$$ 6 = \frac{6}{1} $$
- Multiply the Numerators
Multiply the numerator of the fraction by the numerator of the whole number fraction.
$$ 4 \times 6 = 24 $$
- Multiply the Denominators
Multiply the denominator of the fraction by the denominator of the whole number fraction.
$$ 15 \times 1 = 15 $$
- Combine the Results into a New Fraction
Now combine the results from the previous steps into a single fraction.
$$ \frac{24}{15} $$
- Simplify the Fraction
Finally, simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator, which is 3.
$$ \frac{24 \div 3}{15 \div 3} = \frac{8}{5} $$
The final answer is ( \frac{8}{5} ).
More Information
The result ( \frac{8}{5} ) can also be expressed as a mixed number, which is ( 1 \frac{3}{5} ). This fraction tells you that when you multiply ( \frac{4}{15} ) by 6, you get a value greater than 1.
Tips
- Forgetting to Convert to a Fraction: Sometimes people forget to convert the whole number to a fraction before multiplying. Always convert the whole number as shown.
- Incorrect Simplification: Not finding the GCD correctly can lead to an improperly simplified fraction. Remember to divide both top and bottom by their GCD.
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