Question

How do you divide 7/40 to get a decimal lol (ik the answer is 0.175 but how do you get it)

Answer 1

To get a decimal from the fraction 7/40, divide 7 by 40. Begin with 7 and add a decimal and zeros to make it long division friendly. The answer is 0.175, or equivalently transformed to 175/1000.

Step-by-step explanation:

To divide the fraction 7/40 to get a decimal, you can follow these steps:

1. Understand that division of fractions is the same as division of numbers. So you will be dividing 7 by 40.
2. Perform the division as you would with whole numbers. Since 7 is less than 40, you can add a decimal point and zeros to 7 to make it 7.000.
3. Divide 40 into 7.000 carefully, considering how many times 40 can fit into each subset of the number 7.000 (i.e., 700, 70, etc.).
4. The result is 0.175, as every 40 goes into 700 exactly 17 times with a remainder of 20, which then goes 5 times into 200.

Another way to visualize this is by considering the factor of 100. The fraction 7/40 is equivalent to 175/1000. This method works because you're multiplying both the numerator and denominator by the same number (25 in this case), which does not change the value of the fraction but makes it easier to see the decimal equivalent.