I spent 7/32 of my income on housing 1/4 of it on food and 1/8 on transport what fraction of income did I have left

To find the fraction of income you have left, you can start by calculating the total amount spent on housing, food, and transport.

Let x be your total income.

Amount spent on housing: 7/32x
Amount spent on food: 1/4x
Amount spent on transport: 1/8x

Total amount spent = 7/32x + 1/4x + 1/8x
= 7/32x + 8/32x + 4/32x
= 19/32x

The fraction of income you have left is:
Total income - Total amount spent = x - 19/32x
= 32/32x - 19/32x
= 13/32x

Therefore, you have 13/32 of your income left after spending on housing, food, and transport.