Yes, 4 1 8 is a rational number.
To understand why, we need to break it down. The expression ‘4 1 8’ can be interpreted as a mixed number, specifically ‘4 and 1/8’. A rational number is defined as any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.
In this case, we can convert 4 1/8 into an improper fraction. We do this by multiplying the whole number part (which is 4) by the denominator (which is 8) and then adding the numerator (which is 1). So, 4 * 8 + 1 equals 32 + 1, giving us 33. Thus, 4 1/8 can be expressed as the fraction 33/8. Since both 33 and 8 are integers and the denominator is not zero, this confirms that it is a rational number.
In summary, 4 1/8 is indeed a rational number because it can be expressed as a fraction of two integers (33/8).