To convert the mixed number \( 7 \frac{3}{10} \) into the form of a single fraction \(\frac{?}{?}\), follow these steps:
-
Convert the mixed number into an improper fraction. The formula for converting a mixed number \( a \frac{b}{c} \) to an improper fraction is: \[ \text{Improper Fraction} = \frac{(a \times c) + b}{c} \] Here, \( a = 7 \), \( b = 3 \), and \( c = 10 \).
-
Calculate: \[ 7 \times 10 = 70 \] \[ 70 + 3 = 73 \]
-
The denominator remains the same (\( c = 10 \)).
Putting it all together, we get: \[ 7 \frac{3}{10} = \frac{73}{10} \]
Thus, the answer is: \[ \frac{73}{10} \]