Gracie has of a cantaloupe that she wants to divide. How many 's of a cantaloupe are there in of a cantaloupe?
A.1/16
B.4
C.16
D.1/4
To divide by a fraction, we multiply by its reciprocal. The reciprocal of 1/4 is 4/1. Therefore, to find how many 1/4s are in 1/16, we multiply 1/16 by 4/1: (1/16)(4/1)=4/16=1/4. Answer: \boxed{\text{D.}\ 1/4}.
To find out how many 's of a cantaloupe are there in of a cantaloupe, we need to perform a calculation.
Let's divide the fraction by to get the answer.
The correct calculation is:
=
To simplify this fraction, we need to find the least common denominator (LCD) between and .
The LCD of and is the smallest multiple that both denominators have in common, which is .
Multiply the numerator and denominator of by to get the equivalent fraction:
=
Since the denominators and are now the same, we can combine the numerators:
=
Therefore, there are 16 's of a cantaloupe in 1/4 of a cantaloupe.
So, the correct answer is C. 16.
To solve this problem, we need to divide the given quantity of a cantaloupe by the desired quantity.
In this case, Gracie has 1/4 of a cantaloupe and wants to know how many 1/16s of a cantaloupe are present.
To find the answer, we can divide 1/4 by 1/16.
Dividing fractions involves multiplying the numerator of the first fraction by the reciprocal of the second fraction.
So, dividing 1/4 by 1/16 gives us:
(1/4) ÷ (1/16) = (1/4) * (16/1) = 16/4 = 4.
The result is 4, which means that there are 4 1/16s of a cantaloupe in 1/4 of a cantaloupe.
Therefore, the correct answer is B. 4.