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I don’t know how to do this I need help 7/2 divided 24 and simplify

2 Answers

6 votes

Final answer:

The simplified form of 7/2 divided by 24 is 7/48, which is found by converting the division to multiplication by the reciprocal of 24 and then simplifying the resulting fraction.

Step-by-step explanation:

To simplify the expression 7/2 divided by 24, we start by converting the division into multiplication by the reciprocal of 24. The reciprocal of a number is simply 1 divided by that number, so the reciprocal of 24 is 1/24.

Now the expression looks like this: (7/2) × (1/24).

Multiplying the numerators together and the denominators together gives us 7 × 1 in the numerator and 2 × 24 in the denominator, resulting in 7/48.

This fraction is already in its simplest form as 7 and 48 have no common factors other than 1.

Thus, the simplified result of 7/2 divided by 24 is 7/48.

User Romain Valeri
by
7.7k points
1 vote

Step-by-step explanation:

To divide 7/2 by 24 and simplify the result, we can follow these steps:

Step 1: Convert the mixed number 7/2 into an improper fraction.

7/2 = (2 * 3 + 1)/2 = 6/2 + 1/2 = 3 + 1/2 = 3 1/2

Step 2: Divide the improper fraction by 24.

(3 1/2) / 24 = (7/2) / 24

Step 3: Multiply the numerator by the reciprocal of the denominator.

(7/2) / 24 = (7/2) * (1/24)

Step 4: Simplify the fraction.

(7/2) * (1/24) = 7/48

Therefore, 7/2 divided by 24 and simplified is equal to 7/48.

User Deubaka
by
7.8k points