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

  1. Write the fraction for one-eighth
    The fraction for one-eighth is expressed as $ \frac{1}{8} $.

  2. Set up the multiplication
    Now, we need to multiply $ \frac{1}{8} $ by 6. We can write this as:
    $$ \frac{1}{8} \times 6 $$

  3. Convert the whole number to a fraction
    To perform the multiplication, it can be beneficial to express 6 as a fraction. So, we have:
    $$ 6 = \frac{6}{1} $$

  4. Perform the multiplication of the fractions
    Now, we can multiply the two fractions together:
    $$ \frac{1}{8} \times \frac{6}{1} = \frac{1 \times 6}{8 \times 1} = \frac{6}{8} $$

  5. 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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