1/8 times 6
Understand the Problem
The question is asking for the product of one-eighth and six. This involves a multiplication operation where we will calculate 1/8 multiplied by 6.
Answer
$ \frac{3}{4} $
Answer for screen readers
The product of one-eighth and six is $ \frac{3}{4} $.
Steps to Solve
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Write the fraction for one-eighth
The fraction for one-eighth is expressed as $ \frac{1}{8} $. -
Set up the multiplication
Now, we need to multiply $ \frac{1}{8} $ by 6. We can write this as:
$$ \frac{1}{8} \times 6 $$ -
Convert the whole number to a fraction
To perform the multiplication, it can be beneficial to express 6 as a fraction. So, we have:
$$ 6 = \frac{6}{1} $$ -
Perform the multiplication of the fractions
Now, we can multiply the two fractions together:
$$ \frac{1}{8} \times \frac{6}{1} = \frac{1 \times 6}{8 \times 1} = \frac{6}{8} $$ -
Simplify the resulting fraction
The fraction $ \frac{6}{8} $ can be simplified by dividing both the numerator and the denominator by 2:
$$ \frac{6 \div 2}{8 \div 2} = \frac{3}{4} $$
The product of one-eighth and six is $ \frac{3}{4} $.
More Information
The product $ \frac{3}{4} $ indicates that when you take one-eighth of a quantity and multiply it by six, you end up with three-fourths of that quantity. It shows how parts of a whole can be manipulated and calculated.
Tips
A common mistake is to forget to convert the whole number (6) into a fraction before multiplying. This can lead to incorrect calculations. Always ensure to express whole numbers as fractions when multiplying with other fractions.
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