What is the reciprocal of 10 3/5

Question

?(1 point)

Answer 1

To find the reciprocal of a mixed number, you first need to convert the mixed number into an improper fraction.

1. Convert \(10 \frac{3}{5}\) to an improper fraction:

   • Multiply the whole number (10) by the denominator (5): \(10 \times 5 = 50\)
   • Add the numerator (3): \(50 + 3 = 53\)
   • So, \(10 \frac{3}{5} = \frac{53}{5}\).

2. Find the reciprocal:

   • The reciprocal of a fraction \(\frac{a}{b}\) is \(\frac{b}{a}\).
   • Therefore, the reciprocal of \(\frac{53}{5}\) is \(\frac{5}{53}\).

Thus, the reciprocal of \(10 \frac{3}{5}\) is \(\frac{5}{53}\).