Final answer:
When the numerator stays the same and the denominator increases, the fraction decreases; and when the denominator stays the same and the numerator increases, the fraction increases.
This correct answer is 1)
Step-by-step explanation:
Understanding Fractions
When the numerator of a fraction remains constant and the denominator increases, the value of the fraction decreases. This is illustrated by thinking of a pizza divided into more slices – each slice becomes smaller.
Therefore, the correct statement from the options provided is: When the numerator stays the same and the denominator increases, the fraction decreases.
Conversely, when the denominator remains unchanged and the numerator increases, the value of the fraction increases. Think of it as you now have more slices of the same pizza. This makes option 3 also a correct statement: When the denominator stays the same and the numerator increases, the fraction increases.
Additionally, it is important to remember the fundamental principle of fractions: if a fraction has the same non-zero number as both numerator and denominator, its value is 1.
This helps in simplifying fractions and in performing operations such as multiplication and division by fractions which are equivalent to their reciprocal.
Your correct question is: If I increase the numerator as well as the denominator by the same value (say 5) does it increase or decrease the value?
This correct answer is 1)