A gardener spread 1/6 of a bag of mulch evenly over each of her equal-sized vegetable beds. She used a total of 1/2 of a bag of mulch. How many vegetable beds does she have?Write your answer as a fraction or as a whole or mixed number.
Question
A gardener spread 1/6 of a bag of mulch evenly over each of her equal-sized vegetable beds. She used a total of 1/2 of a bag of mulch. How many vegetable beds does she have?Write your answer as a fraction or as a whole or mixed number.
Solution
The gardener used 1/2 of a bag of mulch and spread 1/6 of a bag on each bed. To find out how many beds she has, you need to divide the total amount of mulch used by the amount used per bed.
So, you divide 1/2 (the total amount of mulch used) by 1/6 (the amount used per bed).
When you divide fractions, you multiply by the reciprocal. The reciprocal of 1/6 is 6/1 or just 6.
So, 1/2 divided by 1/6 is the same as 1/2 multiplied by 6.
1/2 * 6 = 3
So, the gardener has 3 vegetable beds.
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