Farrah and Andrea baked 1 kilogram of bread in all. Farrah baked 3/10 kilogram of bread. How much more bread did Andrea bake than Farrah?

Steps to Solve

1. Identify Total Bread Baked First, we start with the total amount of bread that Andrea and Farrah baked together, which is given as 1 kilogram.

2. Identify Amount Baked by Farrah Next, we know that Farrah baked $\frac{3}{10}$ kilogram of bread.

3. Calculate Amount Baked by Andrea To find out how much Andrea baked, subtract the amount Farrah baked from the total amount: $$ \text{Amount baked by Andrea} = \text{Total amount} - \text{Amount baked by Farrah} $$ Substituting the known values: $$ \text{Amount baked by Andrea} = 1 - \frac{3}{10} $$

4. Perform the Subtraction To subtract $\frac{3}{10}$ from 1, we first convert 1 into a fraction with a denominator of 10: $$ 1 = \frac{10}{10} $$ Now perform the subtraction: $$ \frac{10}{10} - \frac{3}{10} = \frac{10 - 3}{10} = \frac{7}{10} $$

5. Calculate the Difference in Amounts Baked Now, to find out how much more bread Andrea baked than Farrah, we already have Andrea’s amount compared to Farrah's: $$ \text{Difference} = \text{Amount baked by Andrea} - \text{Amount baked by Farrah} $$ Thus: $$\text{Difference} = \frac{7}{10} - \frac{3}{10} = \frac{4}{10} = \frac{2}{5} $$