Q:

What is 7/18 Divided by 75?

Accepted Solution

A:
Dividing a Fraction by a Whole Number

7/18 Divided by 75: A Step-by-Step Explanation

Let's analyze the process of dividing the fraction 7/18 by the whole number 75. The key parts of the problem are:

  1. The numerator of the dividend: 7
  2. The denominator of the dividend: 18
  3. The whole number and divisor: 75

To find the result of dividing 7/18 by 75, we proceed in a stepwise manner:

Our initial problem:

\[ \frac{7}{18} \div 75 \]

Step 1:

Multiply 75 by the denominator of the fraction, 18 to get 1350:

\[ 18 \times 75 = 1350 \]

Step 2:

The result 1350 now becomes the denominator. Therefore, the answer in fraction form is:

\[ \frac{7 \times 18}{75} = \frac{1350}{7} \]

To convert the answer into decimal form, divide the numerator (1350) by the denominator (7) to get 192.86:

\[ \frac{1350}{7} = 192.86 \]

Thus, 7 divided by 18/75 in decimal form is 192.86, whereas the answer in fractional form is 1350/7.

If you found this problem challenging or want to improve your division skills, try solving the problems below:

  • What is 2/12 divided by 18/15?
  • What is 88 divided by 4/20?
  • Which number divided by 72 equals 51?
  • 57 divided by which number equals 76?
  • What is 14/13 divided by 61?

Happy calculating!