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?

Understand the Problem

The question is asking how much more bread Andrea baked compared to Farrah, given that together they baked 1 kilogram and that Farrah baked 3/10 kilogram. We will determine how much Andrea baked by subtracting the amount Farrah baked from the total amount they baked together.

Answer

Andrea baked $ \frac{2}{5} $ kilogram more bread than Farrah.

Steps to Solve

Identify the total amount of bread baked The total amount of bread baked by Farrah and Andrea together is given as 1 kilogram.
Determine how much bread Farrah baked Farrah baked $ \frac{3}{10} $ kilogram of bread.
Calculate how much Andrea baked Subtract the amount Farrah baked from the total amount: [ \text{Amount Andrea baked} = 1 - \frac{3}{10} ] To subtract, convert 1 kilogram into tenths: [ 1 = \frac{10}{10} ] Now perform the subtraction: [ \frac{10}{10} - \frac{3}{10} = \frac{7}{10} ]
Find the difference between Andrea and Farrah's amounts Now calculate how much more Andrea baked than Farrah: [ \text{Difference} = \text{Amount Andrea baked} - \text{Amount Farrah baked} ] Substituting the values: [ \text{Difference} = \frac{7}{10} - \frac{3}{10} ] Perform the subtraction: [ \frac{7}{10} - \frac{3}{10} = \frac{4}{10} = \frac{2}{5} ]

Andrea baked $ \frac{2}{5} $ kilogram more bread than Farrah.

More Information

This result shows that Andrea contributed significantly more to the total bread baked. It can also be noted that the fraction $ \frac{2}{5} $ is a simplified form of $ \frac{4}{10} $, representing a more compact way to express the difference.

Tips

Forgetting to convert whole numbers to fractions when performing subtraction, e.g., not expressing 1 kilogram as $ \frac{10}{10} $.
Not simplifying fractions after performing calculations.

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