Convert the mixed number to its equivalent decimal and vice versa. \( 2 \frac{10}{40}= \) \( 4.68= \)

1. Converting the mixed number \(2\frac{10}{40}\) to a decimal: - First, simplify the fractional part: \[ \frac{10}{40} = \frac{1}{4} \] - Convert \(\frac{1}{4}\) to decimal: \[ \frac{1}{4} = 0.25 \] - Add the whole number and the decimal: \[ 2 + 0.25 = 2.25 \] - Thus, \[ 2\frac{10}{40} = 2.25 \] 2. Converting the decimal \(4.68\) to a mixed number: - Separate the whole number and the fractional part: \[ 4.68 = 4 + 0.68 \] - Convert \(0.68\) to a fraction: \[ 0.68 = \frac{68}{100} \] - Simplify the fraction by dividing the numerator and the denominator by their greatest common divisor (which is 2): \[ \frac{68}{100} = \frac{34}{50} = \frac{17}{25} \] - Combine with the whole part: \[ 4.68 = 4\frac{17}{25} \]