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, note that the total amount of bread baked by Andrea and Farrah together is 1 kilogram.

2. Determine Amount Baked by Farrah Farrah baked 3/10 of a kilogram. This can be written as: $$ \text{Farrah's bread} = \frac{3}{10} \text{ kg} $$

3. Calculate Amount Baked by Andrea To find out how much Andrea baked, subtract the amount Farrah baked from the total amount: $$ \text{Andrea's bread} = 1 \text{ kg} - \frac{3}{10} \text{ kg} $$

4. Convert 1 kg to a Fraction Rewrite 1 kg as a fraction with a common denominator of 10: $$ 1 \text{ kg} = \frac{10}{10} \text{ kg} $$

5. Perform the Subtraction Now, subtract Farrah's amount from Andrea's total: $$ \text{Andrea's bread} = \frac{10}{10} - \frac{3}{10} = \frac{7}{10} \text{ kg} $$

6. Find the Difference in Amounts Baked Now, determine how much more bread Andrea baked than Farrah: $$ \text{Difference} = \text{Andrea's bread} - \text{Farrah's bread} $$ $$ \text{Difference} = \frac{7}{10} - \frac{3}{10} = \frac{4}{10} \text{ kg} $$

7. Simplify the Difference Simplify the fraction: $$ \frac{4}{10} = \frac{2}{5} \text{ kg} $$