Question

1. dig deeper! find the unknown number. $10\frac{3}{12} - \square\frac{\square}{\square} = \frac{4}{12}$

Explanation:

Step1: Let the mixed number be \( 9\frac{x}{12} \) (since we need to borrow 1 from 10 to subtract the fraction properly, so 10 becomes 9 and we add \( \frac{12}{12} \) to \( \frac{3}{12} \))

\( 10\frac{3}{12}=9\frac{15}{12} \)

Step2: Now, set up the subtraction: \( 9\frac{15}{12}-□\frac{□}{□}=\frac{4}{12} \). Let the unknown mixed number be \( a\frac{b}{12} \). So, \( 9\frac{15}{12}-a\frac{b}{12}=\frac{4}{12} \). First, solve for the fractional part: \( \frac{15}{12}-\frac{b}{12}=\frac{4}{12} \), so \( \frac{15 - b}{12}=\frac{4}{12} \), which gives \( 15 - b = 4 \), so \( b = 11 \). Then, for the whole number part: \( 9 - a = 0 \) (because after subtracting the fractions, the whole number part should be 0 to get a proper fraction result), so \( a = 9 \). So the unknown mixed number is \( 9\frac{11}{12} \)

Answer:

\( 9\frac{11}{12} \)