To convert the mixed number \(3 \frac{3}{8}\) to a decimal, we can first convert the fraction \( \frac{3}{8} \) to a decimal using long division.
- Set up the long division of 3 (the numerator) by 8 (the denominator).
- Since 3 is less than 8, we add a decimal point and a zero to 3, making it 30.
- Divide 30 by 8:
- \(8\) goes into \(30\) three times (because \(8 \times 3 = 24\)).
- Subtract \(24\) from \(30\) to get \(6\).
- Bring down another \(0\) to make it \(60\).
- Divide \(60\) by \(8\):
- \(8\) goes into \(60\) seven times (because \(8 \times 7 = 56\)).
- Subtract \(56\) from \(60\) to get \(4\).
- Bring down another \(0\) to make it \(40\).
- Divide \(40\) by \(8\):
- \(8\) goes into \(40\) five times (because \(8 \times 5 = 40\)).
- Subtract \(40\) from \(40\) to get \(0\).
Now that we have completed the long division, we can summarize our results:
\[ \frac{3}{8} = 0.375 \]
Next, we need to convert the whole number part \(3\) along with the decimal part we found:
\[ 3 + 0.375 = 3.375 \]
Thus, the decimal equivalent of \(3 \frac{3}{8}\) is:
\[ \boxed{3.375} \]
1 answer