The Patterson family spends 3/10 of their budget on groceries and another 1/2 going out to eat. Altogether, what fraction of their budget does the Patterson family spend on food?Write your answer as a fraction or as a whole or mixed number.
Question
The Patterson family spends 3/10 of their budget on groceries and another 1/2 going out to eat. Altogether, what fraction of their budget does the Patterson family spend on food?Write your answer as a fraction or as a whole or mixed number.
Solution
The Patterson family spends 3/10 of their budget on groceries and 1/2 on eating out. To find the total fraction of their budget spent on food, you simply add these two fractions together.
First, you need to find a common denominator for the fractions 3/10 and 1/2. The least common denominator for 10 and 2 is 10.
So, you can rewrite 1/2 as 5/10.
Now, you can add the fractions together:
3/10 (groceries) + 5/10 (eating out) = 8/10
Therefore, the Patterson family spends 8/10 of their budget on food. This fraction can be simplified to 4/5. So, the Patterson family spends 4/5 of their budget on food.
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