To convert the fraction 9/16 into a decimal, you can use simple division. This process is straightforward:
- Divide the numerator (9) by the denominator (16).
This can be done using a calculator or by doing long division manually. Here’s the step-by-step breakdown:
- When you divide 9 by 16, you find that 16 goes into 9, 0 times, so you start with 0.
- To continue the division, you can add a decimal point and zeroes to 9, making it 90.
- Now, determine how many times 16 fits into 90, which is 5 times (because 16 x 5 = 80).
- Subtract 80 from 90, which leaves you with 10.
- Bring down another 0, making it 100. Now, see how many times 16 fits into 100, which is 6 times (because 16 x 6 = 96).
- Subtract 96 from 100, which leaves you with 4.
- Bring down another 0, making it 40. See how many times 16 fits into 40, which is 2 times (because 16 x 2 = 32).
- Subtract 32 from 40, leaving you with 8.
- Bring down another 0, making it 80 again, and you will repeat the previous steps.
From this calculation, you can see that:
9 / 16 = 0.5625
Thus, the decimal form of the fraction 9/16 is 0.5625.