Final answer:
When you multiply both the dividend and the divisor by the same number, the quotient remains the same.
Step-by-step explanation:
When you multiply both the dividend and the divisor by the same number, the quotient remains the same. This is because multiplying both the dividend and the divisor by the same number is equivalent to multiplying both parts of the fraction by the same number, which does not change the overall value of the fraction. For example, if you have the fraction 2/3 and you multiply both the numerator and the denominator by 2, the fraction becomes 4/6, but the value of the fraction remains the same, which is 2/3.
Learn more about Multiplication and Division