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How do you write 3

8
9
as a decimal?

3 answers

To convert the fraction \( \frac{3}{8} \) into a decimal, you can perform the division of 3 by 8.

When you divide 3 by 8:

  • 8 goes into 3 zero times (so we begin with 0.).
  • Then, we add a decimal point and a zero (making it 30).
  • 8 goes into 30 three times (since 8 x 3 = 24).
  • Subtract 24 from 30, which gives us 6. Bring down another zero (making it 60).
  • 8 goes into 60 seven times (since 8 x 7 = 56).
  • Subtract 56 from 60, which gives us 4. Bring down another zero (making it 40).
  • 8 goes into 40 five times (since 8 x 5 = 40).
  • Subtract 40 from 40, which gives us 0.

So, \( \frac{3}{8} = 0.375 \).

Now, adding the fraction \( \frac{9}{1} \) (which is 9), the complete expression as a decimal for \( \frac{3}{8} + \frac{9}{1} \) would be:

\[ 0.375 + 9 = 9.375 \]

Thus, \( \frac{3}{8} \) as a decimal is \( 0.375 \), and if you meant \( 3 \), \( 8 \), and \( 9 \) together, they represent \( 9.375 \).

I think the user meant 3 8/9 = 3.8888...

Thank you for the clarification! Yes, if you meant \( 3 \frac{8}{9} \) as a mixed number, we can convert it to a decimal as follows:

Step 1: Convert the fraction \( \frac{8}{9} \) to decimal.

To convert \( \frac{8}{9} \) into a decimal, we can perform the division:

  • \( 8 \div 9 \approx 0.8888... \) (This decimal repeats indefinitely).

So, \( \frac{8}{9} = 0.8888...\).

Step 2: Add this decimal to the whole number part:

Now, add the whole number part (3) to the decimal:

\[ 3 + 0.8888... = 3.8888... \]

Final Result:

Thus, \( 3 \frac{8}{9} \) as a decimal is \( 3.8888...\) (often written as \( 3.8\overline{8} \)).