Divide.
Express the quotient in simplest form. 28 ÷ (4/7)
A. 1/7
B. 2
C. 4/7
D. 7
To divide 28 by (4/7), you can use the following steps:
Step 1: To divide by a fraction, you can multiply by its reciprocal. Therefore, we need to find the reciprocal of (4/7), which is (7/4).
Step 2: Multiply 28 by the reciprocal of (4/7):
28 * (7/4) = (28 * 7) / 4 = 196 / 4 = 49
Step 3: Simplify the fraction 49/4 to its simplest form.
The greatest common divisor (GCD) of 49 and 4 is 1, so we can divide both the numerator and denominator by 1 to get:
49/4 = 12.25
Therefore, the quotient of 28 ÷ (4/7) expressed in simplest form is 12.25 or 49/4 which is not one of the given answer choices (A, B, C, or D).
To divide 28 by (4/7), you can follow these steps:
Step 1: Invert the second fraction.
(4/7) inverted becomes (7/4).
Step 2: Multiply the first fraction by the inverted second fraction.
28 * (7/4) = 196/4 = 49.
Step 3: Simplify the fraction.
The fraction 49/1 can be written simply as 49.
Therefore, the quotient of 28 ÷ (4/7) is 49.
In this case, none of the provided options matches the quotient of 49.