To express the mixed number \( 1 \frac{7}{8} \) as an improper fraction, follow these steps:
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Multiply the whole number (1) by the denominator of the fractional part (8): \[ 1 \times 8 = 8 \]
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Add the result to the numerator of the fractional part (7): \[ 8 + 7 = 15 \]
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Place this sum over the original denominator (8): \[ \frac{15}{8} \]
So, the mixed number \( 1 \frac{7}{8} \) can be expressed as the improper fraction \( \frac{15}{8} \).
Therefore, \( 1 \frac{7}{8} = \frac{15}{8} \).