If Demand for good is likely to be more elastic the smaller the fraction of consumer incomes absorbed by to good?

Yes, demand for a good tends to be more elastic when the fraction of consumer incomes spent on that good is small. This is because consumers can easily adjust their spending on goods that do not take up a significant portion of their budget. When a good represents a small expense, consumers are more likely to switch to alternatives when prices change, leading to a greater sensitivity to price fluctuations. Conversely, for goods that consume a larger share of income, demand is generally more inelastic as consumers have fewer substitutes and are less able to adjust their spending.