To convert \( 5 \frac{3}{16} \) to a decimal, we can break it down into two parts: the whole number and the fraction.
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Convert the whole number: The whole number is \( 5 \).
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Convert the fraction \( \frac{3}{16} \) to decimal using long division:
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Divide \( 3 \) by \( 16 \):
- \( 16 \) goes into \( 30 \) once (1) - subtract \( 16 \) from \( 30 \) gives \( 14 \)
- Bring down a zero to make it \( 140 \)
- \( 16 \) goes into \( 140 \) eight times (8) - subtract \( 128 \) from \( 140 \) gives \( 12 \)
- Bring down a zero to make it \( 120 \)
- \( 16 \) goes into \( 120 \) seven times (7) - subtract \( 112 \) from \( 120 \) gives \( 8 \)
- Bring down a zero to make it \( 80 \)
- \( 16 \) goes into \( 80 \) five times (5) - subtract \( 80 \) from \( 80 \) gives \( 0 \)
Thus, \( \frac{3}{16} = 0.1875 \).
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Combine the whole number and the fraction: \[ 5 + 0.1875 = 5.1875 \]
Therefore, \( 5 \frac{3}{16} \) as a decimal is \( 5.1875 \).
The correct option from your responses is:
5.1875