Answer:
The fraction of income does Lakshmi donate to charity is
.
Explanation:
Let us assume that the income of the Lakshmi be x.
As given
Lakshmi donates 20 % of her income to charity .
20% is written in the decimal form.
![= (20)/(100)](https://img.qammunity.org/2020/formulas/mathematics/high-school/o1yjud6xyoxb2tm0jam9emb7e9h7x3vvcu.png)
= 0.20
Lakshmi donates to charity = 0.20 × x
= 0.20x
![Fraction\ of\ Lakshmi\ income\ donate\ to\ charity = (Lakshmi\ donates\ to\ charity)/(Total\ income\ of\ Lakshmi)](https://img.qammunity.org/2020/formulas/mathematics/high-school/ikcfwcqzis5cxi1pge7bms147va7ph8xir.png)
Putting the values in the above
![Fraction\ of\ Lakshmi\ income\ donate\ to\ charity = (0.20x)/(x)](https://img.qammunity.org/2020/formulas/mathematics/high-school/hqofmqmm5e5hnjpbxygdm3v2m9l50kmtk4.png)
![Fraction\ of\ Lakshmi\ income\ donate\ to\ charity = (20)/(100)](https://img.qammunity.org/2020/formulas/mathematics/high-school/c9t5bh75s89s8h1w0oxsjywoc9fwbjltgq.png)
![Fraction\ of\ Lakshmi\ income\ donate\ to\ charity = (1)/(5)](https://img.qammunity.org/2020/formulas/mathematics/high-school/vpyomoiye8ljkx4bz7igbwummsyw0s4qy8.png)
Therefore the fraction of income does Lakshmi donate to charity is
.