To find the missing denominators in the equations, we can cross multiply.
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For the equation \( \frac{3}{7} = \frac{12}{d} \):
Cross multiplying gives: \[ 3d = 7 \times 12 \] \[ 3d = 84 \] Now, divide both sides by 3: \[ d = \frac{84}{3} = 28 \] So, the missing denominator is 28.
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For the equation \( \frac{7}{10} = \frac{n}{100} \):
Cross multiplying gives: \[ 7 \times 100 = 10n \] \[ 700 = 10n \] Now, divide both sides by 10: \[ n = \frac{700}{10} = 70 \] So, the missing numerator is 70.
To summarize:
- The missing denominator \( d \) in the first equation is 28.
- The missing numerator \( n \) in the second equation is 70.