Find the Opposite Number: Converting 14.8 to Its Negative Value

Question

Convert 14.8 14.8 into its reciprocal form:

Video Solution

Solution Steps

00:00 Find the reciprocal number
00:03 Break down the number into a whole number and remainder
00:10 Convert a decimal number to a fraction
00:20 Reduce the fraction as much as possible
00:28 Convert a whole number to a proper fraction
00:34 Add fractions under a common denominator to get the result
00:44 Use the formula to find the reciprocal number
00:48 Any number multiplied by its reciprocal always equals 1
00:53 Switch between numerator and denominator to get the reciprocal number
00:58 And this is the solution to the problem

Step-by-Step Solution

To address this problem effectively, we will ultimately determine the reciprocal of the number 14.8 14.8 , assuming that this was an intent alignment issue: multiplying its reciprocal understanding as per totality portrayed by the answer document shows
1. Define number as fraction consistently: 14.8=14810 14.8 = \frac{148}{10}

  • Simplify the given fraction: 14810745\frac{148}{10} \rightarrow \frac{74}{5} through reduction dividing both numerator and denominator by greatest common divisor (2).
  • To find its reciprocal: Flip the fraction yielding: 574\frac{5}{74}.

Thus, according to instructions, the opposite number (accounted as a reciprocal under solution requirement) aligns as 574 \frac{5}{74} .

Answer

574 \frac{5}{74}