To convert the fraction 11/16 into a decimal, you need to perform the division of the numerator (11) by the denominator (16).
Here’s how it works:
- Start with the fraction 11/16.
- Divide 11 by 16. You can do this using long division or a calculator.
- For long division:
- 16 goes into 11 zero times, so we start with 0.
- We then add a decimal point and a zero, making it 110.
- Now, 16 goes into 110 six times (since 16 x 6 = 96).
- Subtract 96 from 110 to get 14.
- Bring down another 0, making it 140.
- 16 goes into 140 eight times (since 16 x 8 = 128).
- Subtract 128 from 140 to get 12.
- Bring down another 0, making it 120.
- 16 goes into 120 seven times (since 16 x 7 = 112).
- Subtract 112 from 120 to get 8.
- Bring down another 0, making it 80.
- 16 goes into 80 five times (since 16 x 5 = 80).
- Subtract 80 from 80 to get 0. The division is complete.
Thus, when we put this all together, 11/16 as a decimal is 0.6875.
This decimal represents the same value as the fraction, expressed in a different format, allowing for easier calculations in certain contexts. Whether you are baking, budgeting, or balancing equations, understanding this conversion can be quite useful!