Question
John has 12 gallons of water to fill buckets for field day. If each bucket needs ⅓ of a gallon to fill, find the number of buckets he can fill.
- bucket
- 12 and buckets
- 36 buckets
- 4 buckets
Hint:
When two fractions are divided, we multiply the first fraction by the reciprocal of the other fraction. The first step when multiplying fractions is to multiply the two numerators. The second step is to multiply the two denominators. Finally, simplify the new fractions.
The correct answer is: 36 buckets
Here, it is given that John has 12 gallons of water to fill buckets and each bucket takes 1/3 gallons of water. we have to find the number of buckets that John can fill.
Let the number of buckets that John can fill be x.
Then, x × 1⁄3 = 12
=> x = 12 ÷ 1⁄3
=> x = 12×3
=> x =36.
Hence, John can fill 36 buckets and the correct option is C.
The fractions can also be simplified before multiplying by factoring out common factors in the numerator and denominator.
Related Questions to study
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Multiply
In the question, another approach could be that we first reduce the second fraction in its simplest form which is 1 ( because any number by the same number is always 1).
Now the expression becomes which is equal to as any number multiplies by 1 is always the number itself.
Thus, option (a) is the correct option.
Multiply
In the question, another approach could be that we first reduce the second fraction in its simplest form which is 1 ( because any number by the same number is always 1).
Now the expression becomes which is equal to as any number multiplies by 1 is always the number itself.
Thus, option (a) is the correct option.
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